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Paper Citation Record · LEDGER

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming

As of 8 August 2026, this Paper Citation Record lists 100 of 101 outbound references and 6 inbound Pith citation observations for arXiv:2505.15775.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.15775 v1

Coverage vector

measured 100 of 101 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T15:21:24.397437Z

measured 106 of 106 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:33:13.441147Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

100 of 101 outbound references displayed

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  • verified fuzzy48
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External citation measurements

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pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 96d85b64-3ba7-47ac-ba83-e82a2afa4149 · outbound

This paper cites 1, 13–51.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 1, 13–51

Reference 1

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Observation 6f0b1bf9-ef75-4a82-947a-6222337670a6 · outbound

This paper cites 1, 111–128.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 1, 111–128

Reference 2

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Observation 47bbc984-5719-4d14-b8b0-aa7654586bba · outbound

This paper cites an unresolved cited work.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

Reference 3

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Observation 23fcb56a-8d13-4305-80c4-2aab03b8b804 · outbound

This paper cites Barvinok, Problems of distance geometry and convex properties of quad ratic maps, Discrete & Computational Geometry 13 (1995), 189–202.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Barvinok, Problems of distance geometry and convex properties of quad ratic maps, Discrete & Computational Geometry 13 (1995), 189–202

Reference 4

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Observation 3f86da3f-848b-4a97-9213-143783293663 · outbound

This paper cites 2, 443–461.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 2, 443–461

Reference 5

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Observation 554de679-d65f-4e36-8760-b8fe84cd8c60 · outbound

This paper cites 4, 827–841.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 4, 827–841

Reference 6

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Observation cd15ee35-4566-4e02-877c-71421882cf84 · outbound

This paper cites 1, 65–98.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 1, 65–98

Reference 7

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Observation 1bbfe5a4-15a2-43ed-919e-46cbe321caba · outbound

This paper cites 3243–3270.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 3243–3270

Reference 8

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Observation 5f8d8e51-91f9-4527-8fed-b88ca925c259 · outbound

This paper cites 1-4, 613–623.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 1-4, 613–623

Reference 9

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This paper cites an unresolved cited work.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

Reference 10

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Observation 85c66e51-3b20-487f-98eb-18856668508b · outbound

This paper cites 3, 581–608.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 3, 581–608

Reference 11

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Observation 53c396c8-1e43-4f55-82ba-b42de090291b · outbound

This paper cites 3, 493–512.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 3, 493–512

Reference 12

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Observation 0978b89d-2a57-470d-858c-acd186889a4c · outbound

This paper cites 2, 329–357.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 2, 329–357

Reference 13

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Observation c1caffb7-8e2e-47ba-a669-681e57b0e534 · outbound

This paper cites 3, 427–444.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 3, 427–444

Reference 14

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This paper cites 2, 024001.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 2, 024001

Reference 15

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Observation e26ce7f3-ad97-43e8-98b4-17e8700e5e52 · outbound

This paper cites HPR-LP: An implementation of an HPR method for solving linear programming.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming HPR-LP: An implementation of an HPR method for solving linear programming

Reference 16

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Observation 429d81a7-a895-48a9-9b6b-fbc25814781c · outbound

This paper cites an unresolved cited work.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

Reference 17

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This paper cites 4, 14–31.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 4, 14–31

Reference 18

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Observation f7109924-3111-4c2e-aff0-91bb1e4f8d78 · outbound

This paper cites Fast low-rank estimation by projected gradient descent: General statistical and algorithmic guarantees.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Fast low-rank estimation by projected gradient descent: General statistical and algorithmic guarantees

Reference 19

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Observation ce55a52f-f8d3-4a18-abe0-6a0a9aefa8a5 · outbound

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New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

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Observation 16c6005b-710c-48e6-9ab0-1c099f063f5d · outbound

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New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

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Observation 5a629fbb-89a6-4e08-80cf-0fd52e67ad02 · outbound

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New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

Reference 22

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This paper cites 2, 1305–1332.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 2, 1305–1332

Reference 23

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This paper cites 4, 2614–2637.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 4, 2614–2637

Reference 24

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Observation 0785b5ff-ce20-4c9c-8f10-f963ab4da9d3 · outbound

This paper cites Wang, Sharpness and well-conditioning of nonsmooth convex formu lations in statistical signal recovery , 2023.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Wang, Sharpness and well-conditioning of nonsmooth convex formu lations in statistical signal recovery , 2023

Reference 25

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Observation 6774afa5-d6c3-4c02-9d33-b5816c284f58 · outbound

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New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 4, 2695–2725

Reference 26

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Observation 72238333-06bf-43dc-8a8a-d09c62065b8d · outbound

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New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

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New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

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New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 1, 17–40

Reference 29

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Observation b453c15c-a135-4e6d-9e8a-2dff0d51ea10 · outbound

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New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 3, 779–810

Reference 30

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Observation d16d423b-e787-4437-8843-1be4db3ff9dd · outbound

This paper cites 1233–1242.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 1233–1242

Reference 31

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Observation 2f26f60c-9199-482b-8233-6b6fba3014f1 · outbound

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New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 34 3–360

Reference 32

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Observation 63a1a959-6c35-4710-bf15-727d52d09ee2 · outbound

This paper cites Clarabel: An interior-point solver for conic programs with quadratic objectives.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Clarabel: An interior-point solver for conic programs with quadratic objectives

Reference 33

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This paper cites A Low-Rank ADMM Splitting Approach for Semidefinite Programming.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming A Low-Rank ADMM Splitting Approach for Semidefinite Programming

Reference 34

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Observation 0c0ee4e9-dde7-4587-899e-03584ab4876d · outbound

This paper cites Accelerating Low-Rank Factorization-Based Semidefinite Programming Algorithms on GPU.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Accelerating Low-Rank Factorization-Based Semidefinite Programming Algorithms on GPU

Reference 35

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New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming thesis, 2000

Reference 36

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Observation dbc34616-9ce2-4bd1-8eea-d6276ef3f017 · outbound

This paper cites 3, 673–696.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 3, 673–696

Reference 37

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Observation 880fd364-6ae1-43c4-9775-caa3da88a79a · outbound

This paper cites 2, 342–361.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 2, 342–361

Reference 38

Resolution
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Source-reported events for the cited work

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Observation 294bf7b7-0596-4881-8db3-074f91fa9c0b · outbound

This paper cites 5, 303–320.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 5, 303–320

Reference 39

Resolution
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Source-reported events for the cited work

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Observation 1ffd6363-dbc0-4a45-b6b4-0e14ed82a5ea · outbound

This paper cites Restarted Primal-Dual Hybrid Conjugate Gradient Method for Large-Scale Quadratic Programming.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Restarted Primal-Dual Hybrid Conjugate Gradient Method for Large-Scale Quadratic Programming

Reference 40

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 3ae5c911-a2b4-4104-967e-c551f582494c · outbound

This paper cites 5, 2327–2351.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 5, 2327–2351

Reference 41

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 0491f343-7018-40f3-a7a7-e67c256b05ae · outbound

This paper cites 4, 35–49.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 4, 35–49

Reference 42

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 6fbb0a43-93e1-4a16-9faa-c917896a9703 · outbound

This paper cites 1, 511–547.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 1, 511–547

Reference 43

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 359dc448-29fc-48b6-8f38-10bb80cff803 · outbound

This paper cites 1, 92–107.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 1, 92–107

Reference 44

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation df59e0c0-163b-4814-980f-17caad7bf568 · outbound

This paper cites 1-2, 1–156.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 1-2, 1–156

Reference 45

Resolution
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Source-reported events for the cited work

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Observation 88393b22-c368-4dda-8acb-0f8b0ac0da60 · outbound

This paper cites an unresolved cited work.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

Reference 46

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation d012b275-07d1-4a21-831c-cb2a41587454 · outbound

This paper cites an unresolved cited work.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

Reference 47

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 628c26cd-5c35-414f-9c81-5db7b4fb08b9 · outbound

This paper cites an unresolved cited work.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

Reference 48

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:21:18.775703Z digest=sha256:1b7556d03ff8901c9994fa5e0838b346dc2938f1e915e4dec436f5e084e87e3f

Observation a9e085f4-4349-4aff-89dd-6880f948f460 · outbound

This paper cites 2, 632–650.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 2, 632–650

Reference 49

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 294f4f9d-f7cd-4259-855a-fc7caed999ea · outbound

This paper cites an unresolved cited work.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

Reference 50

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 239fc704-57d0-4709-b6c2-3f42541461b4 · outbound

This paper cites 1, 15–27.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 1, 15–27

Reference 51

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 74a0bbe4-c0c9-4635-a7b2-08605fc97aa0 · outbound

This paper cites 2, 177–189.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 2, 177–189

Reference 52

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation df4abed8-a3f3-40f8-a4ad-d2289ea84c59 · outbound

This paper cites cuPDLP.jl: A GPU Implementation of Restarted Primal-Dual Hybrid Gradient for Linear Programming in Julia.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming cuPDLP.jl: A GPU Implementation of Restarted Primal-Dual Hybrid Gradient for Linear Programming in Julia

Reference 53

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 48f80138-9102-4729-aad0-b47861d8d3ba · outbound

This paper cites A Practical and Optimal First-Order Method for Large-Scale Convex Quadratic Programming.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming A Practical and Optimal First-Order Method for Large-Scale Convex Quadratic Programming

Reference 54

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation a5d4ca59-8b20-4f9c-af88-5c61b7592303 · outbound

This paper cites cuPDLP-C: A Strengthened Implementation of cuPDLP for Linear Programming by C language.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming cuPDLP-C: A Strengthened Implementation of cuPDLP for Linear Programming by C language

Reference 55

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation cb4cc167-d6ce-4c65-86de-480771519399 · outbound

This paper cites 2, 1159–1190.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 2, 1159–1190

Reference 56

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 39a838d8-bd85-47bd-953d-2a62d32e8077 · outbound

This paper cites 1, 59–81.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 1, 59–81

Reference 57

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 3bb0b9c4-feca-4232-9897-401a30fc99eb · outbound

This paper cites 1, 199–211.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 1, 199–211

Reference 58

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 7491febe-78d6-4b5d-a61c-348bbeacf464 · outbound

This paper cites 1, 331–360.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 1, 331–360

Reference 59

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation cbca011f-9542-44c4-a5ee-914954ddb37e · outbound

This paper cites an unresolved cited work.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:21:32.073116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 2e307cbb-972e-4ed9-8e26-4916919d1ab0 · outbound

This paper cites 8, 083001.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 8, 083001

Reference 61

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 0150c3b9-17bf-4db1-b56f-47c09e689dde · outbound

This paper cites A low-rank augmented Lagrangian method for large-scale semidefinite programming based on a hybrid convex-nonconvex approach.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming A low-rank augmented Lagrangian method for large-scale semidefinite programming based on a hybrid convex-nonconvex approach

Reference 62

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 37ebf99c-2408-4e01-97da-1c7dacd9fd02 · outbound

This paper cites an unresolved cited work.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:21:31.779083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 9a19e027-22f9-4e7e-8008-6bfa93d82e75 · outbound

This paper cites 5, 3109–3134.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 5, 3109–3134

Reference 64

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 0b2474a6-a747-4cbe-8663-aee2db251ace · outbound

This paper cites 2, 324–364.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 2, 324–364

Reference 65

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 2ae31b86-3442-4ea5-92b8-0c470d07fa64 · outbound

This paper cites 137, Springer.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 137, Springer

Reference 66

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation e7982989-a73b-4366-bb4d-a87d886fd2e7 · outbound

This paper cites an unresolved cited work.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

Reference 67

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:21:31.078876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation f17f3014-7c65-4bb9-b732-c726a141cbc3 · outbound

This paper cites 3, 1999–2023.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 3, 1999–2023

Reference 68

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 0e08eb21-fd44-49e4-ac60-089e3bf38be4 · outbound

This paper cites an unresolved cited work.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

Reference 69

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:21:30.822688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:21.265598Z digest=sha256:18a9f135b7f8b115052ebc89b9e2b8ab2097d277c713d46ca8df13727010bdcb

Observation 54558214-b755-4b15-9164-c91310539b09 · outbound

This paper cites an unresolved cited work.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

Reference 70

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:21:30.678664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation b102687a-4ed9-495a-a0c8-3df14760fe38 · outbound

This paper cites 2, 339–358.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 2, 339–358

Reference 71

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 806796be-fd1a-44b9-a9a9-b57c9a2555ec · outbound

This paper cites an unresolved cited work.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

Reference 72

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:21:30.354569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 319b91a0-d811-4f9a-b925-48fdd3d22f7f · outbound

This paper cites 3, 471–501.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 3, 471–501

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:30.194127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation a48f9f0c-c980-411f-abc6-8ff22c28bbc6 · outbound

This paper cites 6, 555–562.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 6, 555–562

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:29.992758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 3325cf2c-8159-425a-b0bb-9e7b5612d146 · outbound

This paper cites 1, 354–373.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 1, 354–373

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:29.804215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:21.715160Z digest=sha256:fdfb84dd652a8238265c4e083110e1c711c4439cd2e83f8af8310d4d60d3f0fb

Observation 387e6a23-5a4f-4108-912c-c47af7f598f1 · outbound

This paper cites 2, 97–116.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 2, 97–116

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:29.618994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:21.793323Z digest=sha256:3c548d2c20abfddcdceeebe75b54f8af392140c9f3601e974a160909af7e01fd

Observation 7f9bba30-bf2c-4259-bac7-f031f78eae3c · outbound

This paper cites an unresolved cited work.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

Reference 77

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:21:29.452342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:21.912222Z digest=sha256:6e60bd15ba24d78f70e3b6670edbd75c7351f7706c6537e51b03defc406ad19c

Observation a8299815-7662-4a81-a7b5-62ce29d3f12d · outbound

This paper cites an unresolved cited work.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

Reference 78

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:21:29.240396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:21.999632Z digest=sha256:0f158f4c4c1b4ae3ad63698456103bc39ebba514ed0dde78e7f8ced8bf4e393f

Observation d4a014b5-7cf1-4481-8bc7-4d16c155f4f8 · outbound

This paper cites 1, 117–144.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 1, 117–144

Reference 79

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:29.047477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:22.082054Z digest=sha256:27d43bf20084262503e9d5488f67ef65d34d5868af092b5cc4d046a3408ed9d0

Observation 127d1277-0854-4922-b9c3-d23a975c5943 · outbound

This paper cites 1-4, 625–653.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 1-4, 625–653

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:28.886496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:22.145108Z digest=sha256:194db04f22662e9f3abe6c20b1b53f555302bbb44c91690676ebc0098c846279

Observation cbb499f3-0582-4fff-88b6-ce1f0a6e6e82 · outbound

This paper cites 6, 1105–1154.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 6, 1105–1154

Reference 81

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:28.710096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:22.210761Z digest=sha256:5d939887fbc7001f24f70d99c9f9d56b996bc4e357092c52d926df336412635a

Observation 565a15f0-ae14-4cf7-8496-f5e2d245a978 · outbound

This paper cites 1, 87–115.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 1, 87–115

Reference 82

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:28.530699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:22.271681Z digest=sha256:56e0be9e6e9192e240b589cdd56477fcd93804f3deb0b464fab9983e46ad4485

Observation b098dc80-510f-4052-a431-638f05e70727 · outbound

This paper cites an unresolved cited work.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

Reference 83

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:21:28.364186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:22.375684Z digest=sha256:130ba48ad5e42be66cc1d847e1130ce49c3b2fb15092edbe781544a670c24fee

Observation b8ab0af6-5217-4a3a-a82c-123170d4725e · outbound

This paper cites 3, 769–796.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 3, 769–796

Reference 84

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:28.144209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:22.473184Z digest=sha256:bba360fcd8a29f273b5dbe7fa662f53f4368cd2c4aeb5bcdad2612213455625c

Observation dbc6ec90-a3cb-42be-8c2d-ab03ad3f9305 · outbound

This paper cites 1-4, 545–581.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 1-4, 545–581

Reference 85

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:27.961985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:22.594774Z digest=sha256:94c386039dfc07e12d447456a3ce36ae96d3ea92884e21640ad38f0d2fd3e3c3

Observation e2f72f53-7a9b-47f4-b00a-dec4c740339e · outbound

This paper cites 4, 1454–1485.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 4, 1454–1485

Reference 86

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:27.744837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:22.672235Z digest=sha256:9ed67afa67425f07f0cd4c76e527432557df0303343b5a0c34c5b54d5b0dd7fc

Observation 827c1110-42f5-4c89-840e-a21206e436e6 · outbound

This paper cites an unresolved cited work.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

Reference 87

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:21:27.599564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:22.776600Z digest=sha256:55490338c17066aacfd5ab4fef91cb9dc248d207fdd02e9e67e6e47e3182745f

Observation 966ce5b4-6683-4eaf-9ffc-345bed99504d · outbound

This paper cites 1, 49–95.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 1, 49–95

Reference 88

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:27.432331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:22.873916Z digest=sha256:76626f6cff3ab8b8fc68373a7d9ac50faace540f7d8aaeb69bd476d3e3ea6509

Observation b27282fd-bc88-4913-a6c4-8c05319be255 · outbound

This paper cites 3, 2577–2602.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 3, 2577–2602

Reference 89

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:27.216722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:22.997029Z digest=sha256:97cc36498945fc97e8bccee22d5dd08f4fec88dc4ff69dc42046e7592ec5b57f

Observation 25b27bfd-0c64-49b5-867b-194c550447f1 · outbound

This paper cites Solving Low-Rank Semidefinite Programs via Manifold Optimization.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Solving Low-Rank Semidefinite Programs via Manifold Optimization

Reference 90

Resolution
unresolved
no resolver link, observed 2026-08-07T15:21:23.112741Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:21:23.112741Z digest=sha256:1106cd9c174666c0b8ce36f0542953d1f4d2372a6110b3d91c774fa726440caa

Observation 2bd0e55e-ab6c-48d2-b9a4-24ce6e36dee3 · outbound

This paper cites 3, 1361– 1390.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 3, 1361– 1390

Reference 91

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:27.022212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:23.269106Z digest=sha256:8d95130c0907f255d277003d0939924fa7019a07d70d21ac65cc35aa893f510c

Observation e01660b9-7970-4c91-a847-05480ab155c6 · outbound

This paper cites 27, Springer Science & Business Media, 2012.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 27, Springer Science & Business Media, 2012

Reference 92

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:26.830664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:23.426191Z digest=sha256:20af5d70d573c4f89179629a86dab00d9c896874886951fb59861da981c683c0

Observation 3bc14c2f-9df9-4fb6-a670-64d9f958aa25 · outbound

This paper cites How Over-Parameterization Slows Down Gradient Descent in Matrix Sensing: The Curses of Symmetry and Initialization.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming How Over-Parameterization Slows Down Gradient Descent in Matrix Sensing: The Curses of Symmetry and Initialization

Reference 93

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:21:24.693338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:23.588691Z digest=sha256:8a03370e2582be42e3bb3fc0cd6ad11b6f24ab310dc762cae6a75949013de0e4

Observation ac7314b4-40ee-45c9-9104-0fd6b94b6e4d · outbound

This paper cites an unresolved cited work.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

Reference 94

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:21:26.677465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:23.699185Z digest=sha256:ccba0e990a1059145f72f17c52e6895d75e25e5edc9ac2b80539bae67aaa6494

Observation e2ee4e38-827b-4f40-a9a2-796691899db3 · outbound

This paper cites 3, 331–366.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 3, 331–366

Reference 95

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:26.470022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:23.807304Z digest=sha256:76efd01d08fb77557787d410a35651edba0c289d3a1e85c3981be66817cf5fb2

Observation f5643201-74d6-408e-9d85-83aa1c82ec33 · outbound

This paper cites an unresolved cited work.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming Unresolved cited work

Reference 96

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:21:26.261732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:23.921532Z digest=sha256:311c03a1402507e74f8bc4101cdb405be6b014c8b5c755a7590704f8e6816c96

Observation e39e522f-a875-4eeb-a5b1-0df8f5bb0b74 · outbound

This paper cites 2, 315–323.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 2, 315–323

Reference 97

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:26.089797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:24.029716Z digest=sha256:fa1eb67431b185143057d13409b6dc81c40f76dea8dc99ec4afdae6dfed2bc11

Observation f8883ccd-524c-4f08-ac6c-aa1aab026587 · outbound

This paper cites 7272–7281.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 7272–7281

Reference 98

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:25.900807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:24.177356Z digest=sha256:c6ab9a035d6b61ac71b0fbba1132c0f94dab81c5d974b94ff31c6dbe9b34d924

Observation 44012057-371e-4028-b381-bb2e85341b5c · outbound

This paper cites 5727–5736.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 5727–5736

Reference 99

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:25.699189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:24.291299Z digest=sha256:ec682058de03ce2417c4f62e44b1ad413f6a2815497bf3633d2c7f26fa25bd4c

Observation 707d6b2d-98da-4f75-b0b4-e1eb36f043c4 · outbound

This paper cites 1, 171–200.

New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming 1, 171–200

Reference 100

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:25.441822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T15:21:24.397437Z digest=sha256:921d6b687a5cba6e082797862d3c93126e4891052ce30ea9d3376d881156cc34

Pith citing papers

Observation 077262e9-e17d-4ec5-9e1e-601836e9ad90 · inbound

An Overview of GPU-based First-Order Methods for Linear Programming and Extensions cites this paper.

An Overview of GPU-based First-Order Methods for Linear Programming and Extensions New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-07T11:33:13.441147Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:33:13.441147Z digest=sha256:90efaeef2976a86246c453778207cc1ceb15c1ae5517078e8c4abe735f9a5e0c

Observation 57760dd3-bac5-40e3-84d8-a12ce363db70 · inbound

D-PDLP: Scaling PDLP to Distributed Multi-GPU Systems cites this paper.

D-PDLP: Scaling PDLP to Distributed Multi-GPU Systems New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-16T15:18:01.948438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-16T15:17:02.183838Z digest=sha256:4c81bf28ac21fc1140705fa79950398688505e12db70bccadf2a58e1676b0475

Observation 0bc195b8-b0db-4faf-8fc7-bf5619f0f80e · inbound

Copositive Matrices with Ordered Off-Diagonal Entries cites this paper.

Copositive Matrices with Ordered Off-Diagonal Entries New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming

Reference 197

Resolution
verified exact
arxiv_id, observed 2026-05-20T17:23:36.376015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-20T17:20:29.589792Z digest=sha256:a9be396389f94a82f5c0c43bebfaed3acc06edc2ccbee46e97810483145e4266

Observation b5ece11e-2d8f-4c1d-9715-dfe25af2cadd · inbound

On the convergence of doubly stochastic Primal-Dual Hybrid Gradient Method cites this paper.

On the convergence of doubly stochastic Primal-Dual Hybrid Gradient Method New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-20T09:48:11.643082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-20T09:44:32.144900Z digest=sha256:7c1fcf27826ca45c0891785911bb1ba285c1385dcd3bbb0f62fca2cedd141bf2

Observation 7c3f83b1-4b51-4aa9-80c2-c54bbccd7513 · inbound

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming cites this paper.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-07-10T01:26:43.257681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:2fb88d85a054bbed375fcca4816e6a16fac19e6bc06d3192fe0e47fe24cd2f6b

Observation 84d1c301-a0e4-4339-9a89-529f2c8f8f11 · inbound

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs cites this paper.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-01T16:39:59.361681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:39:59.361681Z digest=sha256:10f290646b39d868c86d81509caf9b239e706ec629d422a1ae4a6090b1db537a