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Paper Citation Record · LEDGER

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming

As of 9 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 0 inbound Pith citation observations for arXiv:2607.08035.

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

pith.paper-citation-record.v1
2607.08035 v1

Coverage vector

measured 66 of 66 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T01:24:12.412433Z

measured 66 of 66 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

66 of 66 outbound references displayed

  • verified exact6
  • verified fuzzy48
  • unresolved11
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6923f5e2-cad5-47b5-bcd9-e419d1ca29ee · outbound

This paper cites cuhallar: A gpu accelerated low-rank augmented lagrangian method for large-scale semidefinite programming.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming cuhallar: A gpu accelerated low-rank augmented lagrangian method for large-scale semidefinite programming

Reference 1

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arxiv_id, observed 2026-07-10T01:26:43.268170Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 6f20274c-29b0-4305-a0d6-2508b0ac7481 · outbound

This paper cites Interior point methods in semidefinite programming with applications to combinatorial optimization.SIAM Journal on Optimization, 5(1):13–51, 1995.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Interior point methods in semidefinite programming with applications to combinatorial optimization.SIAM Journal on Optimization, 5(1):13–51, 1995

Reference 2

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation b188b1aa-5fdd-467c-a3d8-b0b97e109213 · outbound

This paper cites Haeberly, and Michael L.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Haeberly, and Michael L

Reference 3

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 5be55ad9-61b5-4cc3-996b-6b04683302f7 · outbound

This paper cites Practicallarge-scalelinearprogrammingusingprimal-dualhybridgradient.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Practicallarge-scalelinearprogrammingusingprimal-dualhybridgradient

Reference 4

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:0379feceb20ca10b89a6e28416ccf5b840b965600c3ca8c6d8f0ee5887a572cc

Observation 11606bf4-af46-4c58-8ccd-577c751e2dff · outbound

This paper cites PDLP: A practical first-order method for large-scale linear programming.Mathematical Programming Computation, 2026.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming PDLP: A practical first-order method for large-scale linear programming.Mathematical Programming Computation, 2026

Reference 5

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:75537dc22a05fc6d29a651b5c959b1d4362f1accea6f58f28179bc800fc90dbc

Observation 988a36cd-530d-4d52-af58-16440461a33e · outbound

This paper cites Faster first-order primal-dual methods for linear programming using restarts and sharpness.Mathematical Programming, 201(1–2):133–184, 2023.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Faster first-order primal-dual methods for linear programming using restarts and sharpness.Mathematical Programming, 201(1–2):133–184, 2023

Reference 6

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:3749400711c136b0c3f38d834daa470908e50668126bf2d68f8c43ab0f389a76

Observation 9f6070c0-a4d9-46a2-85b1-e3c8dce8727e · outbound

This paper cites The Chambolle–Pock method converges weakly withθ >1/2andτ σ∥L∥ 2 <4/(1 + 2θ).Optimization Letters, 20(3):503–520, 2026.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming The Chambolle–Pock method converges weakly withθ >1/2andτ σ∥L∥ 2 <4/(1 + 2θ).Optimization Letters, 20(3):503–520, 2026

Reference 7

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:f2a50d92a2f85c9921f5d30f16102953702e93a5e73c49c3036c2abe269bf549

Observation 9221e630-ba77-48cd-8c79-434f961dd3e9 · outbound

This paper cites Bauschke and Patrick L.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Bauschke and Patrick L

Reference 8

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:8a4084f2779fb7f06f0ebc79c55dce1cf90ac8eac6b32f764dc745c3729b1593

Observation cabf03a0-7395-45f9-94f2-cb4a78029c94 · outbound

This paper cites Boyd, Laurent El Ghaoui, Eric Feron, and Venkataramanan Balakrishnan.Linear Matrix Inequalities in System and Control Theory, volume 15 ofStudies in Applied Mathematics.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Boyd, Laurent El Ghaoui, Eric Feron, and Venkataramanan Balakrishnan.Linear Matrix Inequalities in System and Control Theory, volume 15 ofStudies in Applied Mathematics

Reference 9

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Observation babe2ec7-6859-4bf1-9b1c-0d0ff59eec94 · outbound

This paper cites Boyd, Neal Parikh, Eric Chu, Borja Peleato, and Jonathan Eckstein.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Boyd, Neal Parikh, Eric Chu, Borja Peleato, and Jonathan Eckstein

Reference 10

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:c233f154938ec9a3f8ddb09f2c5ebf3493f43ca76648bea319d8a2fda34a9f52

Observation b9b2fec5-74a8-4064-b1db-6b5a963d7f79 · outbound

This paper cites Boyd and Lieven Vandenberghe.Convex Optimization.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Boyd and Lieven Vandenberghe.Convex Optimization

Reference 11

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 40760bb6-98a0-4543-9725-2ebd9b006e25 · outbound

This paper cites an unresolved cited work.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Unresolved cited work

Reference 12

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Observation 7840225e-1253-4559-83c0-af09e4220e81 · outbound

This paper cites an unresolved cited work.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Unresolved cited work

Reference 13

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:fea05d9af71b761a3fb8e5a47aee687d108c4fa527883a9b7cc2be960265b5b3

Observation f1f766d4-b87f-4192-92de-0ffe24cdeb83 · outbound

This paper cites A first-order primal-dual algorithm for convex problems with applications to imaging.Journal of Mathematical Imaging and Vision, 40(1):120–145, 2011.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming A first-order primal-dual algorithm for convex problems with applications to imaging.Journal of Mathematical Imaging and Vision, 40(1):120–145, 2011

Reference 14

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:7800f5ce3a5eeb61490130d94fa463f5235f45840f7bc49f9b0d9623f276adfe

Observation fbca8b64-fe56-4268-a7cc-ddb4558481d2 · outbound

This paper cites On the ergodic convergence rates of a first-order primal–dual algorithm.Mathematical Programming, 159(1–2):253–287, 2016.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming On the ergodic convergence rates of a first-order primal–dual algorithm.Mathematical Programming, 159(1–2):253–287, 2016

Reference 15

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:064e3046e728eb829aaac06af2dd4b93e177c7272af74c5881bcba7cd3fd5ba3

Observation 3292913e-cabb-49ea-83d1-ecde5c907f36 · outbound

This paper cites Constraint nondegeneracy, strong regularity, and nonsingularity in semidefinite programming.SIAM Journal on Optimization, 19(1):370–396.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Constraint nondegeneracy, strong regularity, and nonsingularity in semidefinite programming.SIAM Journal on Optimization, 19(1):370–396

Reference 16

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:949406f4dc7c5adcb5f4dff03ac70fb8d9e2b4358102a2302539d2292bb28ea0

Observation b864ca96-7d29-42f0-bf8b-c87b8cdeb95e · outbound

This paper cites A golden ratio primal-dual algorithm for structured convex opti- mization.Journal of Scientific Computing, 87(2):47, 2021.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming A golden ratio primal-dual algorithm for structured convex opti- mization.Journal of Scientific Computing, 87(2):47, 2021

Reference 17

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raw_fallback, observed 2026-07-10T01:26:43.663156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:a56b0b2205bd34ae8355b476795b7eef12720fa2ab587b50336a0680a49fbe03

Observation 89a00b90-690b-49f0-95c9-360ca17683af · outbound

This paper cites HPR-LP: An imple- mentation of an HPR method for solving linear programming.Mathematical Programming Computation, 2025.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming HPR-LP: An imple- mentation of an HPR method for solving linear programming.Mathematical Programming Computation, 2025

Reference 18

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:42a86ff837cb2b9d7bdfc142e933e6dc9effe40c55922cdbf7e4d8659e1206b7

Observation e6aea991-35cf-427e-8d12-4bc6bd85538a · outbound

This paper cites On the global and linear convergence of the generalized alternating direction method of multipliers.Journal of Scientific Computing, 66(3):889–916, 2016.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming On the global and linear convergence of the generalized alternating direction method of multipliers.Journal of Scientific Computing, 66(3):889–916, 2016

Reference 19

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source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:2591dbe81fe13e31a7ba7478531bc6b122e4ffe91c2b29ebda92326f3a3edb7c

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

This paper cites New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming.

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

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

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:5ef312cef763c00e10aec2d61a21f53e556c86e684c699f70c5257da0efed281

Observation 5356c931-4ab2-4383-a1ca-8100f1b14b4f · outbound

This paper cites Dontchev and R.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Dontchev and R

Reference 21

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:59c8c38cbd59daab8e6abaf04f8faebed05a90309a65ee0dde07a8da6f51ae82

Observation 5df724b4-81cc-4fd5-b31f-7381add2dda9 · outbound

This paper cites an unresolved cited work.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Unresolved cited work

Reference 22

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:31991c7421190cbac9bf4451f325eec102a875b5452edba03b7cecc3643e2c7c

Observation a7cd04e5-f8c3-4d52-93f5-c317fc3bab06 · outbound

This paper cites Bertsekas.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Bertsekas

Reference 23

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:703d771b7e2698dfc56fc15e157e62771ac4ae097a0798fc8517da938f02df72

Observation 26753808-6997-4b93-8da1-3a9670d918b7 · outbound

This paper cites Ageneralframeworkforaclassoffirstorderprimal-dual algorithms for convex optimization in imaging science.SIAM Journal on Imaging Sciences, 3(4):1015– 1046, 2010.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Ageneralframeworkforaclassoffirstorderprimal-dual algorithms for convex optimization in imaging science.SIAM Journal on Imaging Sciences, 3(4):1015– 1046, 2010

Reference 24

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raw_fallback, observed 2026-07-10T01:26:43.776181Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:166aa5bb4513c95d9941cf58f762acec9d9137ad4e246f995e5ad12931110333

Observation 5ebd9ff8-d46b-4ba1-b1f1-829e3ffb093f · outbound

This paper cites A dual algorithm for the solution of nonlinear variational problems via finite element approximation.Computers and Mathematics with Applications, 2(1):17–40, 1976.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming A dual algorithm for the solution of nonlinear variational problems via finite element approximation.Computers and Mathematics with Applications, 2(1):17–40, 1976

Reference 25

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raw_fallback, observed 2026-07-10T01:26:43.762985Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:eb1dffc1a9257c024d6d9d288f14612a027bd65af09f6641aadee47884bcd2e4

Observation f6825c36-b3ae-4038-bc6b-a26e13ef973c · outbound

This paper cites an unresolved cited work.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Unresolved cited work

Reference 26

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:e0920b251d45ba6cdfb805276e32c32d017ae630a41fbbe0d6d899942e79eafb

Observation d44ac85a-53e4-4b59-adde-ee512cad2f40 · outbound

This paper cites cuADMM: GPU-accelerated first-order optimiza- tion for large-scale multi-block semidefinite programs.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming cuADMM: GPU-accelerated first-order optimiza- tion for large-scale multi-block semidefinite programs

Reference 27

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raw_fallback, observed 2026-07-10T01:26:43.761066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:f83ca8e14aa75df8bdf92fd1dc61e8f5d068feed58d9193e92cda2c88587a0b1

Observation 9a696415-7ffb-47ff-b5dd-c0a585ea9363 · outbound

This paper cites Linear rate convergence of the alternating direction method of multipliers for convex composite programming.Mathematics of Operations Research, 43(2):622–637.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Linear rate convergence of the alternating direction method of multipliers for convex composite programming.Mathematics of Operations Research, 43(2):622–637

Reference 28

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raw_fallback, observed 2026-07-10T01:26:43.751769Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:3bcd6ab5f6483c5cb0818da8e9edd9b80f914b67fc4a34f03d70508a575c4dfc

Observation d34e4554-4a67-4d39-9ff0-01ba2de83d35 · outbound

This paper cites Building Romewith convexoptimization.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Building Romewith convexoptimization

Reference 29

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raw_fallback, observed 2026-07-10T01:26:43.749894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:66b7a2f5b7aef11a41036ec896a6206c756973d70d6874958b1aca74cd322492

Observation 017730ca-7d88-42bd-ae31-f71eb05dc11c · outbound

This paper cites A low-rank ADMM splitting approach for semidefinite programming.INFORMS Journal on Computing, 2025.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming A low-rank ADMM splitting approach for semidefinite programming.INFORMS Journal on Computing, 2025

Reference 30

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raw_fallback, observed 2026-07-10T01:26:43.753708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:39f33457310e3f13fc9d64e9498bab2c205d9afa49fefdefb700a4fc96b8a4da

Observation 6869dfbd-6a59-4866-9d7f-3ac3c9dae823 · outbound

This paper cites A generalized primal-dual algorithm with improved convergence condition for saddle point problems.SIAM Journal on Imaging Sciences, 15(3):1157–1183, 2022.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming A generalized primal-dual algorithm with improved convergence condition for saddle point problems.SIAM Journal on Imaging Sciences, 15(3):1157–1183, 2022

Reference 31

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raw_fallback, observed 2026-07-10T01:26:43.755990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:4201bee1a33868998a604363acd2c12ce4e73203bcaf89f5c84f382e7c5a0ad4

Observation 577d4a26-c5ed-419f-94b8-bc41973e13f4 · outbound

This paper cites Convergence analysis of primal-dual algorithms for a saddle-point problem: From contraction perspective.SIAM Journal on Imaging Sciences, 5(1):119–149, 2012.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Convergence analysis of primal-dual algorithms for a saddle-point problem: From contraction perspective.SIAM Journal on Imaging Sciences, 5(1):119–149, 2012

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raw_fallback, observed 2026-07-10T01:26:43.759166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:408bd38ea50c0ad1374ddd759e4ac8d759399468909f8d7e19bd8a36027e0528

Observation 21d69f4e-ebb5-490e-93fb-2ef317a9cf17 · outbound

This paper cites Bregman primal-dual first-order method and applications to sparse semidefinite programming.Computational Optimization and Applications, 81(1):127–159, 2022.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Bregman primal-dual first-order method and applications to sparse semidefinite programming.Computational Optimization and Applications, 81(1):127–159, 2022

Reference 33

Resolution
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raw_fallback, observed 2026-07-10T01:26:43.766771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:2182d0e161fb1573c910ed76becb3a0feff697f02d9e5d1fa1527b250dc88fdc

Observation 07edc46f-b3f4-4674-af0b-c6c604c80308 · outbound

This paper cites Bregman three-operator splitting methods.Journal of Optimiza- tion Theory and Applications, 196(3):936–972, 2023.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Bregman three-operator splitting methods.Journal of Optimiza- tion Theory and Applications, 196(3):936–972, 2023

Reference 34

Resolution
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raw_fallback, observed 2026-07-10T01:26:43.747928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:8ff2e780398a43c19b18178837126acc631b7fb6851e2c3cb3d02a260ccde741

Observation aa3ecf38-6b5d-4392-ba11-8b800756e272 · outbound

This paper cites Local Linear Convergence of the Alternating Direction Method of Multipliers for Semidefinite Programming under Strict Complementarity.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Local Linear Convergence of the Alternating Direction Method of Multipliers for Semidefinite Programming under Strict Complementarity

Reference 35

Resolution
verified exact
local_arxiv, observed 2026-07-10T01:26:43.251863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:ba4c48a60fd5913bb7c0fc4f4192fca7908a7d19b11e870a3c2e5144c2057284

Observation d53cbdde-d40f-41e3-974d-5d0922ebc9c6 · outbound

This paper cites Local second-order limit dynamics of ADMM for SDP.arXiv preprint, 2026.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Local second-order limit dynamics of ADMM for SDP.arXiv preprint, 2026

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T01:26:43.744198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:39d9552acb82638c5453b9c807ae6cfd2f710e17223960e5dd4739744dbf92dd

Observation 523ea1a0-fc64-48fe-b3c3-5f3a5640a2e7 · outbound

This paper cites Auto-conditioned primal-dual hybrid gradient method and alternating direction method of multipliers.arXiv preprint, 2024.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Auto-conditioned primal-dual hybrid gradient method and alternating direction method of multipliers.arXiv preprint, 2024

Reference 37

Resolution
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raw_fallback, observed 2026-07-10T01:26:43.746106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:c2d4904a529b8ed7aa96b49fc1b896d9a68aef62f37afc2a1aee87f409e0e2f2

Observation ed30ecc6-a9b4-4929-8779-6b1afce4848d · outbound

This paper cites Lasserre.Moments, Positive Polynomials and Their Applications.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Lasserre.Moments, Positive Polynomials and Their Applications

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Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T01:26:43.738821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:f9de1460f1a8189e85d98925a44bd6603c05f51cc26d75cf897f12c4c7e6001b

Observation 63cca583-238c-48d3-b5b0-df68208620fb · outbound

This paper cites Activesets, nonsmoothness, andsensitivity.SIAM Journal on Optimization, 13(3):702– 725, 2002.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Activesets, nonsmoothness, andsensitivity.SIAM Journal on Optimization, 13(3):702– 725, 2002

Reference 39

Resolution
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raw_fallback, observed 2026-07-10T01:26:43.740634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:a418bdf5b2b93fb0ab31b68086352541b6ec90b0d993947953fee56c480f85c1

Observation 78431cb5-5026-4fa6-bcc2-208e072acaa5 · outbound

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

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming D-PDLP: Scaling PDLP to Distributed Multi-GPU Systems

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-07-10T01:26:43.260793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:b6622248a2b0d86ed705b2f15fb53fe8ee48a6748abf672632a9404ce69f407c

Observation af9f2bcf-7668-4ca3-bae8-a3a0d24bd290 · outbound

This paper cites Local convergence properties of Douglas–Rachford and alternating direction method of multipliers.Journal of Optimization Theory and Applications, 172(3):874–913, 2017.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Local convergence properties of Douglas–Rachford and alternating direction method of multipliers.Journal of Optimization Theory and Applications, 172(3):874–913, 2017

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T01:26:43.742449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:ee1896f7cc60c0821c8b1504971be5c590e265075b3b34bef4c7896c062108fe

Observation 162d2397-d162-47ea-aaf6-176e643228d0 · outbound

This paper cites A practical GPU-enhanced matrix- free primal-dual method for large-scale conic programs.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming A practical GPU-enhanced matrix- free primal-dual method for large-scale conic programs

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Resolution
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arxiv_id, observed 2026-07-10T01:26:43.254893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:e287d39ed3180137be8b01d36eddc118eddc9f75387eed76273014e01a37448e

Observation 0371c2c4-4868-40ad-8242-1eb9f6eecc01 · outbound

This paper cites cuPDLP.jl: A GPU implementation of restarted primal-dual hybrid gradient for linear programming in Julia.Operations Research, 73(6):3440–3452, 2025.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming cuPDLP.jl: A GPU implementation of restarted primal-dual hybrid gradient for linear programming in Julia.Operations Research, 73(6):3440–3452, 2025

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T01:26:43.768892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:1bec08ecfc3ce949c22ed73777f27b11ccab254814ad40d9ad6108a601a6507b

Observation 06dc7c93-9cf2-4f85-ad5e-d51d7dc2e1b0 · outbound

This paper cites On the geometry and refined rate of primal–dual hybrid gradient for linear programming.Mathematical Programming, 212:349–387, 2025.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming On the geometry and refined rate of primal–dual hybrid gradient for linear programming.Mathematical Programming, 212:349–387, 2025

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T01:26:43.770830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:7b9f4fa1d6299efa4e99c5e1a3ff9714199151f729718f624ab489e9771c5827

Observation 0da40487-87b3-4558-9cd7-051aa2d86c02 · outbound

This paper cites Understanding the convergence of the preconditioned PDHG method: A view of indefinite proximal ADMM.Journal of Scientific Computing, 94(3):60, 2023.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Understanding the convergence of the preconditioned PDHG method: A view of indefinite proximal ADMM.Journal of Scientific Computing, 94(3):60, 2023

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T01:26:43.731777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:ed06f03d1a099b0f8ac78c8f881b637600bfb4f11ab73755ee18573f694c9f54

Observation c0401049-22b6-4a62-8af8-dcb879407069 · outbound

This paper cites an unresolved cited work.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Unresolved cited work

Reference 46

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raw_fallback, observed 2026-07-10T01:26:43.733502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:c9ea9b62abba50d7dcb80c61853964629b5870e7e5ce5e43b10377c52c2d2cba

Observation 779bfa35-8650-4a48-b691-702f32b80f3b · outbound

This paper cites an unresolved cited work.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-07-10T01:26:43.720502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:01d49cd6b0138d166934d30c28894869d9ce19ca6ea239b538c291fe9b172527

Observation cc06681a-e945-48b7-983d-a00a5ea6c339 · outbound

This paper cites On the equivalence of the primal-dual hybrid gradient method and Douglas–Rachford splitting.Mathematical Programming, 179(1–2):85–108, 2020.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming On the equivalence of the primal-dual hybrid gradient method and Douglas–Rachford splitting.Mathematical Programming, 179(1–2):85–108, 2020

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T01:26:43.724112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:da63d4c33fad5018c1966ef4db40ae10f1a6fba48648ab647c4f35d877fbf4d0

Observation d5e46b55-a44a-4edb-ba9d-fff76f67684b · outbound

This paper cites An algorithm for minimizing the Mumford–Shah functional.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming An algorithm for minimizing the Mumford–Shah functional

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T01:26:43.710978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:6dd87e636b0863bb7ad2b72adf3f33abaa9fbda2a91111022ecf5b91cab7851c

Observation 2a38e60d-280e-4e5c-bfe5-46484c24aaa1 · outbound

This paper cites Tyrrell Rockafellar.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Tyrrell Rockafellar

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T01:26:43.716647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:d7513c8fc18336819b80051c6106cd10f259ef1880648e77ee4557718eacdb6e

Observation f8371c87-7bb1-44e2-9c99-de4f08a469b1 · outbound

This paper cites an unresolved cited work.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-07-10T01:26:43.722133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:d3cbce58b2b846788a074798941944347cfb953abc5129e8eedf3c9f32e366a1

Observation 58c09153-e1d1-4788-b46c-981f88fb0c6b · outbound

This paper cites Semismooth matrix-valued functions.Mathematics of Operations Research, 27(1):150–169, 2002.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Semismooth matrix-valued functions.Mathematics of Operations Research, 27(1):150–169, 2002

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T01:26:43.737066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:c64d85239300eb31211d442bb3d800034932cb11e4e3ddb883f6f01587f18f59

Observation 6be56a52-3b46-47cc-af3e-c3152cdf9ff0 · outbound

This paper cites A preconditioned augmented Lagrangian method for solving semidefinite programming problems.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming A preconditioned augmented Lagrangian method for solving semidefinite programming problems

Reference 53

Resolution
verified exact
local_arxiv, observed 2026-07-10T01:26:43.263243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:515e7bc487f567d309cc39d1f028066b0d6ac92184cc0d15d223eb2e1b596c06

Observation 8777fe1b-8e77-4334-a09f-51136f7a7b08 · outbound

This paper cites an unresolved cited work.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-07-10T01:26:43.772507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:38cbb52be90cfb87d9a46dc6408437b489200d52c9fdd35033c761dc8de6fecd

Observation cfba5b9a-be2a-43d0-9f02-adbb6d31712d · outbound

This paper cites Tütüncü, and Michael J.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Tütüncü, and Michael J

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T01:26:43.714794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:c60ee86d7434126c16274cdaba02931454b810705b4c707026d2ffc01dfe509a

Observation 2c40c5c6-3d13-4ea1-bd1d-409a7fd39f34 · outbound

This paper cites The Chambolle–Pock method also converges weakly with0< θ≤1andτ σ∥L∥ 2 < 4θ(2−θ)/(1−2θ+ 9θ 2 −4θ 3).arXiv preprint, 2026.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming The Chambolle–Pock method also converges weakly with0< θ≤1andτ σ∥L∥ 2 < 4θ(2−θ)/(1−2θ+ 9θ 2 −4θ 3).arXiv preprint, 2026

Reference 56

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verified fuzzy
raw_fallback, observed 2026-07-10T01:26:43.718764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:6fada65f1d2f3f4ad18f0fe79b4db9b1619a10c6d21fb4b13444a8046f3739bc

Observation 6e498302-334a-4858-bd1a-960aec746026 · outbound

This paper cites Andersen.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Andersen

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T01:26:43.712923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:26fc26c62b2d92c316e4f1da2fee02d39323728e689dd107bea825a372b89272

Observation 4db5d666-0c78-49e0-8a26-7b8435b29025 · outbound

This paper cites an unresolved cited work.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-07-10T01:26:43.727965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:134794e8499e1942c5935b2f2d14e4c170c902e39e7c9a1c09815c053d9a1142

Observation e72526dd-b652-4c72-b59c-beb9f3358d28 · outbound

This paper cites Solving low-rank semidefinite programs via manifold optimization.Journal of Scientific Computing, 104(1):33, 2025.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Solving low-rank semidefinite programs via manifold optimization.Journal of Scientific Computing, 104(1):33, 2025

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T01:26:43.708729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:c092b5087dbcf9f73626d05179b76158b5f1160366b65498650d834a93bfea7b

Observation bc32b8eb-9815-417b-b541-57409a0bced4 · outbound

This paper cites A Tuning-Free Primal-Dual Splitting Algorithm for Large-Scale Semidefinite Programming.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming A Tuning-Free Primal-Dual Splitting Algorithm for Large-Scale Semidefinite Programming

Reference 60

Resolution
verified exact
local_arxiv, observed 2026-07-10T01:26:43.265616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:bf08f49e9f653b5928991b823fb47dea44d303673950a509b3a4f503ebaac4e4

Observation 73b503fe-21cf-41c1-90e7-e366b8eff50a · outbound

This paper cites Alternating direction augmented lagrangian methods for semidefinite programming.Mathematical Programming Computation, 2(3–4):203–230, 2010.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Alternating direction augmented lagrangian methods for semidefinite programming.Mathematical Programming Computation, 2(3–4):203–230, 2010

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T01:26:43.702997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:0a2427a577e3e052dcad18246f73d44ee246ca03d10efcbc33c71cc8ede2c63f

Observation c006c5c7-ef97-4d59-a1c1-c5162755ae3a · outbound

This paper cites Kluwer Academic Publishers, Boston, MA, 2000.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Kluwer Academic Publishers, Boston, MA, 2000

Reference 62

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verified fuzzy
raw_fallback, observed 2026-07-10T01:26:43.726108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:ab0a29f5b2d7eecf72751f57d54ae663e0b782240dc89a9c7a19ed64796947e9

Observation 7f458a44-ac9c-4048-ad79-a905ba0dcf2b · outbound

This paper cites an unresolved cited work.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-07-10T01:26:43.735147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:28733604ac97c45d0b00c607c9c3077e07abfcd45fa1e8a09d5294f08239a5b9

Observation 94b6e376-7fd6-4174-92b6-f1f22abda7dc · outbound

This paper cites an unresolved cited work.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-07-10T01:26:43.704740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:b1d01128cba4ca52e49dbf7c9c54e187193c2f64bb721921fe04c749e414293a

Observation 4328a234-6155-4ccc-84cf-9f1f6417315c · outbound

This paper cites SDPNAL+: A majorized semismooth Newton-CG augmentedlagrangianmethodforsemidefiniteprogrammingwithnonnegativeconstraints.Mathematical Programming Computation, 7(3):331–366, 2015.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming SDPNAL+: A majorized semismooth Newton-CG augmentedlagrangianmethodforsemidefiniteprogrammingwithnonnegativeconstraints.Mathematical Programming Computation, 7(3):331–366, 2015

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T01:26:43.701011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:6649db83b0482676bf2fa939780634ab2ad2a24d0d84f1d03d92e2758ac51af2

Observation f86e138b-d464-452c-bdb1-5ea2d4695b29 · outbound

This paper cites A Newton-CG augmented lagrangian method for semidefinite programming.SIAM Journal on Optimization, 20(4):1737–1765, 2010.

Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming A Newton-CG augmented lagrangian method for semidefinite programming.SIAM Journal on Optimization, 20(4):1737–1765, 2010

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T01:26:43.695364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:c4b27c18dfeb1e38dfabc8d86e62e8397c3a9ea86dd25346a3ed53b171e64950

Pith citing papers

No inbound Pith citation observations are available.