Paper Citation Record · LEDGER

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs

As of 13 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2607.17933.

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pith.paper-citation-record.v1
2607.17933 v1

Coverage vector

measured 46 of 46 reference resolution

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measured 46 of 46 standing notices

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Reference resolution

46 of 46 outbound references displayed

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Outbound references

Observation 99f7b495-a012-4d56-977c-f322947e3b2e · outbound

This paper cites Aguirre, Diego Cifuentes, Vincent Guigues, Renato D.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Aguirre, Diego Cifuentes, Vincent Guigues, Renato D

Reference 1

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Observation 5af94572-4101-43bb-99bf-2cc3b755ec18 · outbound

This paper cites Barvinok.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Barvinok

Reference 2

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Observation 85dc0839-16b1-441a-8d5d-c504f30f1ea3 · outbound

This paper cites Bertsekas.Constrained Optimization and Lagrange Multiplier Methods.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Bertsekas.Constrained Optimization and Lagrange Multiplier Methods

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T16:39:58.364892Z

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Observation c53c2c4b-0cf8-4a80-b842-aecef338863f · outbound

This paper cites Bandeira.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Bandeira

Reference 4

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Observation 2db96806-77f7-40ea-a40d-2d7e2e0e91d2 · outbound

This paper cites Cambridge University Press, 2004.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Cambridge University Press, 2004

Reference 5

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Observation 188c1447-db87-4b79-ae1f-850ac2ede21c · outbound

This paper cites Computational enhancements in low-rank semidefinite programming.Optimisation Meth- ods and Software, 21(3):493–512, 2006.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Computational enhancements in low-rank semidefinite programming.Optimisation Meth- ods and Software, 21(3):493–512, 2006

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T16:39:58.725723Z

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Observation d5e0195f-3b7e-426d-864f-3f37008d14ad · outbound

This paper cites an unresolved cited work.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T16:39:58.836035Z

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Observation 148fc02b-a084-42ec-8cb7-1d56ee3a859f · outbound

This paper cites an unresolved cited work.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T16:39:58.913914Z

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Observation 6b11c051-6730-42d2-9cef-16370b846679 · outbound

This paper cites Quantum algorithms for the ordered search problem via semidef- inite programming.Physical Review A: Atomic, Molecular, and Optical Physics, 75(3):032335, 2007.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Quantum algorithms for the ordered search problem via semidef- inite programming.Physical Review A: Atomic, Molecular, and Optical Physics, 75(3):032335, 2007

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T16:39:59.008792Z

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Observation 3e8c5e5d-24b1-4278-bb93-ea2825a320cf · outbound

This paper cites Polynomial time guarantees for the Burer–Monteiro method.Advances in Neural Infor- mation Processing Systems, 35:23923–23935, 2022.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Polynomial time guarantees for the Burer–Monteiro method.Advances in Neural Infor- mation Processing Systems, 35:23923–23935, 2022

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T16:39:59.117960Z

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Observation 7c08ddcf-fad3-4ff7-8851-9da3df8ca884 · outbound

This paper cites Revisiting spectral bundle methods: Primal-dual (sub)linear convergence rates.SIAM Journal on Optimization, 33(2):1305–1332, 2023.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Revisiting spectral bundle methods: Primal-dual (sub)linear convergence rates.SIAM Journal on Optimization, 33(2):1305–1332, 2023

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T16:39:59.250016Z

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

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

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

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Observation 62f067e4-2029-4bd0-900e-87294dfe1ccf · outbound

This paper cites Cardinal optimizer (COPT) user guide.arXiv preprint arXiv:2208.14314, 2022.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Cardinal optimizer (COPT) user guide.arXiv preprint arXiv:2208.14314, 2022

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T16:39:59.477411Z

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Observation c686fef4-c6a8-4a13-8cfc-5e5cd1eb9172 · outbound

This paper cites Goemans and David P.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Goemans and David P

Reference 14

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Observation 15797774-7b43-4fc1-809c-468a8f718c05 · outbound

This paper cites Clarabel: An interior-point solver for conic programs with quadratic objectives.Mathemat- ical Programming Computation, pages 1–83, 2026.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Clarabel: An interior-point solver for conic programs with quadratic objectives.Mathemat- ical Programming Computation, pages 1–83, 2026

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T16:39:59.706471Z

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Observation 60f51c4a-3382-441f-938d-238897d54ceb · outbound

This paper cites An improved rounding method and semidefinite programming relaxation for graph partition.Mathematical Programming, 92(3):509–535, 2002.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs An improved rounding method and semidefinite programming relaxation for graph partition.Mathematical Programming, 92(3):509–535, 2002

Reference 16

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Observation c129dc95-3862-4826-91fa-be28d5e98d33 · outbound

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

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs A Low-Rank ADMM Splitting Approach for Semidefinite Programming

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T16:39:59.807684Z

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Observation 7d8d1cc8-b9e0-4c8d-9627-b445d1119515 · outbound

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

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Accelerating Low-Rank Factorization-Based Semidefinite Programming Algorithms on GPU

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T16:39:59.839181Z

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Observation 13908978-4c5d-4c83-bd93-0b35ecde245b · outbound

This paper cites Fast and certifiable trajectory optimization.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Fast and certifiable trajectory optimization

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T16:39:59.893566Z

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Observation 8492710b-5b1a-4d7d-a61c-b5719f376e99 · outbound

This paper cites Global Contact-Rich Planning with Sparsity-Rich Semidefinite Relaxations.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Global Contact-Rich Planning with Sparsity-Rich Semidefinite Relaxations

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T16:39:59.947214Z

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Observation 7d006188-e02b-401d-ba59-59d72acde583 · outbound

This paper cites an unresolved cited work.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T16:39:59.997882Z

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Observation 6ceb7b5b-a597-4f0d-b4de-6210f27d555e · outbound

This paper cites Global optimization with polynomials and the problem of moments.SIAM Journal on Optimization, 11(3): 796–817, 2001.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Global optimization with polynomials and the problem of moments.SIAM Journal on Optimization, 11(3): 796–817, 2001

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T16:40:00.062459Z

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Observation 233f33d9-97d5-480e-b5e7-f94bd43c2cb7 · outbound

This paper cites Convergent SDP-relaxations in polynomial optimization with sparsity.SIAM Journal on Optimization, 17 (3):822–843, 2006.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Convergent SDP-relaxations in polynomial optimization with sparsity.SIAM Journal on Optimization, 17 (3):822–843, 2006

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T16:40:00.129641Z

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Observation 4e0447b3-df38-49c4-b1ea-68ddd8d206e8 · outbound

This paper cites SNAP Datasets: Stanford large network dataset collection.http://snap.stanford.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs SNAP Datasets: Stanford large network dataset collection.http://snap.stanford

Reference 24

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Observation d0409309-e615-46ed-85ee-f6cd46242277 · outbound

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

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs D-PDLP: Scaling PDLP to Distributed Multi-GPU Systems

Reference 25

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Observation 15e6ac7e-6f90-4e0e-bb35-ce309dd8cd52 · outbound

This paper cites An overview and comparison of spectral bundle methods for primal and dual semidefinite programs.Computational Optimization and Applications, 93(2):523–566, 2026.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs An overview and comparison of spectral bundle methods for primal and dual semidefinite programs.Computational Optimization and Applications, 93(2):523–566, 2026

Reference 26

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Observation c8f067f3-ba73-4ef7-b83e-7a3d86ff6801 · outbound

This paper cites Fast quantum simulation of electronic structure by spectral amplification.Physical Review X, 15(4):041016, 2025.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Fast quantum simulation of electronic structure by spectral amplification.Physical Review X, 15(4):041016, 2025

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T16:40:00.305649Z

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Observation ee95fab0-7611-4728-9547-9a230e94df8a · outbound

This paper cites Mittelmann.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Mittelmann

Reference 28

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Observation 6b01d57f-8572-4883-bd77-bd83389b6454 · outbound

This paper cites an unresolved cited work.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Unresolved cited work

Reference 29

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Observation 5df52642-d1e4-4492-924d-df8d8dce261f · outbound

This paper cites MOSEK ApS, 2019.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs MOSEK ApS, 2019

Reference 30

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Observation 2997cf84-244d-4332-a48b-b0c80758282c · outbound

This paper cites Conic optimization via operator splitting and homogeneous self-dual embedding.Journal of Optimization Theory and Applications, 169(3):1042–1068, 2016.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Conic optimization via operator splitting and homogeneous self-dual embedding.Journal of Optimization Theory and Applications, 169(3):1042–1068, 2016

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Resolution: unresolved; no resolver link, observed 2026-08-01T16:40:00.407398Z

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Observation ac04b900-3014-4aaa-ac20-683ca61f227c · outbound

This paper cites On the rank of extreme matrices in semidefinite programs and the multiplicity of optimal eigenvalues.Mathe- matics of Operations Research, 23(2):339–358, 1998.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs On the rank of extreme matrices in semidefinite programs and the multiplicity of optimal eigenvalues.Mathe- matics of Operations Research, 23(2):339–358, 1998

Reference 32

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Observation 634dc511-c6fe-4115-9661-73a72be97e99 · outbound

This paper cites Diagonal preconditioning for first-order primal-dual algorithms in convex optimiza- tion.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Diagonal preconditioning for first-order primal-dual algorithms in convex optimiza- tion

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Observation cc598bcf-aa08-49e9-9b3c-0bc6f2289a5b · outbound

This paper cites Tyrrell Rockafellar.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Tyrrell Rockafellar

Reference 34

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Observation 2c9403d8-81ea-4c7d-aa72-5c3efb6598ae · outbound

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A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Unresolved cited work

Reference 35

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Observation 9191b2a5-da40-4ce4-934b-1d8490b7a137 · outbound

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A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T16:40:00.582669Z

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Observation fb18af29-c93c-4a4f-8939-bbea8dede580 · outbound

This paper cites SDPNAL+: A MATLAB software for semidefinite programming with bound constraints (version 1.0).Optimization Methods and Software, 35(1):87–115, 2020.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs SDPNAL+: A MATLAB software for semidefinite programming with bound constraints (version 1.0).Optimization Methods and Software, 35(1):87–115, 2020

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T16:40:00.612835Z

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Observation 22a25459-3d95-4dca-ad20-2f40c089dfe7 · outbound

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A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-01T16:40:00.647820Z

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Observation a88e0b16-fcf0-4d01-b075-ba78faf4ebdc · outbound

This paper cites On the implementation and usage of SDPT3–a MATLAB software package for semidefinite-quadratic-linear programming, version 4.0.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs On the implementation and usage of SDPT3–a MATLAB software package for semidefinite-quadratic-linear programming, version 4.0

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T16:40:00.681577Z

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Observation 9c6b6ea4-6f57-4ba7-a439-dfdec8bcd67d · outbound

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

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Solving low-rank semidefinite programs via manifold optimization.Journal of Scientific Computing, 104(1):33, 2025

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-01T16:40:00.731980Z

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Observation aa0c22b1-a729-48f7-8c4e-7097b64ed12d · outbound

This paper cites A decomposition augmented Lagrangian method for low-rank semidefinite programming.SIAM Journal on Optimization, 33(3):1361–1390, 2023.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs A decomposition augmented Lagrangian method for low-rank semidefinite programming.SIAM Journal on Optimization, 33(3):1361–1390, 2023

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Resolution: unresolved; no resolver link, observed 2026-08-01T16:40:00.762553Z

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Observation 2e801aa2-2f37-4992-81bb-220a7099689e · outbound

This paper cites an unresolved cited work.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Unresolved cited work

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Observation 95ea106f-1c64-4e84-8b96-1294b0a7268e · outbound

This paper cites A conditional gradient framework for composite convex minimization with applications to semidefinite programming.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs A conditional gradient framework for composite convex minimization with applications to semidefinite programming

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Resolution: unresolved; no resolver link, observed 2026-08-01T16:40:00.804750Z

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Observation f480d812-8f15-49e3-bd3b-9a2a26e0f192 · outbound

This paper cites A conditional-gradient-based augmented Lagrangian framework.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs A conditional-gradient-based augmented Lagrangian framework

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Resolution: unresolved; no resolver link, observed 2026-08-01T16:40:00.822593Z

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Observation ba05e268-bed9-4358-b495-ba7d395ea949 · outbound

This paper cites Scalable semidefinite programming.SIAM Journal on Mathematics of Data Science, 3(1):171–200, 2021.

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs Scalable semidefinite programming.SIAM Journal on Mathematics of Data Science, 3(1):171–200, 2021

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-01T16:40:00.980817Z

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Observation 38692d77-a0fb-4f48-a713-8284348a9fac · outbound

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

A Curvature-Aware Rank-Adaptive Distributed Augmented-Lagrangian Solver for Large-Scale SDPs A Newton–CG augmented Lagrangian method for semidefinite program- ming.SIAM Journal on Optimization, 20(4):1737–1765, 2010

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Resolution: unresolved; no resolver link, observed 2026-08-01T16:40:01.147891Z

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