Paper Citation Record · LEDGER

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

As of 22 August 2026, this Paper Citation Record lists 100 of 101 outbound references and 7 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

Typed states for the displayed outbound observations.

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

measured 107 of 107 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:26:16.652134Z

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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External citation measurements

0
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

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

Reference 9

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Reference 10

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

Reference 11

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

Reference 12

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

Reference 13

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

Reference 14

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

Reference 15

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

Reference 17

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

Reference 20

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

Reference 21

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

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

Reference 24

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

Reference 26

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Reference 27

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Reference 28

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

Reference 30

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

Reference 31

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

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

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

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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

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

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

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

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

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

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

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

Reference 52

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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

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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

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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

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

Reference 56

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

Reference 57

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

Reference 58

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

Reference 59

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Reference 60

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

Reference 61

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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

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Reference 63

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This paper cites 5, 3109–3134.

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

Reference 64

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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; raw_fallback, observed 2026-08-07T15:21:31.449265Z

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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

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Reference 67

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This paper cites 3, 1999–2023.

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

Reference 68

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

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Reference 69

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Reference 70

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This paper cites 2, 339–358.

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

Reference 71

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

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Reference 72

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

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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

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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

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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

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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

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

This paper cites an unresolved cited work.

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Reference 77

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

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

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Reference 78

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

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

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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

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

This paper cites 1-4, 625–653.

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Reference 80

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

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

Reference 81

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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

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Reference 83

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

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

Reference 84

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

This paper cites 1-4, 545–581.

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Reference 85

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

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

Reference 86

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

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Reference 87

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

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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

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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

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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

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

Reference 91

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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

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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

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

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Reference 94

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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

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

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

Reference 96

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

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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

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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

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

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

Reference 99

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

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

Reference 100

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Pith citing papers

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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

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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

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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

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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

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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

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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

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Observation 64b53cc4-3c02-46e0-b980-8b5f3a70d2ba · inbound

Optimal Nonergodic Primal-Dual Complexity of Efficient Inexact Parameter-Free Augmented Lagrangian Methods cites this paper.

Optimal Nonergodic Primal-Dual Complexity of Efficient Inexact Parameter-Free Augmented Lagrangian Methods New Understandings and Computation on Augmented Lagrangian Methods for Low-Rank Semidefinite Programming

Reference 26

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