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Paper Citation Record · LEDGER

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

As of 8 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 2026-08-08T06:32:00.761636+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
  • malformed identifier0
  • metadata mismatch1

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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:2b6f8bce190f6fdbf2a6302968d99d430bc25ca4535e6381621cbdc0e7fda946

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:2393486b99e2301d99e61d7703df1f4ada9f678c28ff0840a822b92b60a8fff5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:706f02e73b7c8b30f020a5981be5d61289cfa8df6b44102c039fd005e1a3dc58

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:cab89b585604d28abf0fd25fc6df20d3889d0912152c1765a78984a52d15ac3c

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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Source-reported events for the cited work

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

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:88b6e7361f6281efbad33c52350152c958a4f6c1d8d44c91b0a59f4b82cdaf37

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:191d2029cc1aa2606449a3e5550040f0ded5ebee3b8a9d2f35da9217b0920400

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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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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Source-reported events for the cited work

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

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:db43ba4100638796061f117e06ff1cada7fabff6a7410bf3471e314675ff612d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:54b96196615be8b6a578c565cc5e6485b0eba8b6fc61a30a51cd2b46f0211fd8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:cc0946e2ebe32dbd43359011071de35e938939c30569700939a3c5ac8fe87c37

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:a7ebf5642e9bb4734005a14f2a202cc935ce06fa0d473adc21d476d82e3df0db

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

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:19064388764cda393c91282c09e1e2a9fa1f41606c878335d86c4dc9629d794a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:ee596f4b9c9c235d9ac50907cbb01502f97a4aa2e85f55545867ca799aa55e24

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=sha256:30162b0892da433d30c28d44795e8dd95106f060cb3e52fb872efe20e966d086

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 2026-08-08T06:32:00.761636+00:00.

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

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:f8c9a82f900fa2c4a759b06ca56e9b6529d1346d0500434902cc10d6a5266f9c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:50f3c9013bfbc6c258e9c889555320f32a9b96a7c240d9f043cd4dd35bc2a1dc

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:9d72f95a171086e7a2994604868e359bf2c17883a091509d685b9e4b36f8652f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:f371386409e8968d25a608715d39a5ef357dd5046f53e9f24480eca537e60c19

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

Source-reported events for the cited work

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

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:d746e45def451e1312815c4db56e5d180d8743d1840429f00d1b0b79ab0ab242

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:130a57d78eee7ffb7e9ead01f6bf43960cd0317c23de8f4bc70bed5643032b66

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:abc0ad42822c64d469a9fe26b5dbe1d003c4aeb0c56358add858e8f39f335be2

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

Source-reported events for the cited work

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

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:48f9b431b523dded54a6bba8b3ca63f119e9ebb05d4cd54a0c659856f5960aad

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

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

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:59f12908f902b8b034c08c87ee413acf6d7a602fd5afeed1315e80b11685767f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:aca753005a53de263b6bb8899ae036d28d5668fb693d28412c0424d7ec709468

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:a08c360664097d7f4a6caac638caff9c2b6288258274d2e8cb2509981b74bbdc

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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Resolution
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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:75d08f64ac31452920fb6f75b51c55813a7e246e03566282bed522aa33b79c9b

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
verified fuzzy
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:8d4d04db4e54ef4ca0a435f93a1078a022c5d1bad5d51f48c7360bae2709189f

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
verified fuzzy
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:2626d6598ce7999530143395c575a8e58c22cefc28cee3797e03f7c693754f0a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:86fe4ccb2f480bdefb5eaa8a80c5310b94c47e7a50232fd850512f365b54afbd

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:6684c0a066745403e75746c790683f39018718189e1245c41395fc23de8ffe46

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
verified fuzzy
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:373afc4baa16206ba9713ef703c2aaf25e2e5bb1b9b446d43efacb09f44142db

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:0a7c22583f484df6db3986d11b53aed880b353687b67ced32bb049799f14e971

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
verified fuzzy
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:c57aab56e61b24c1b4c44c35f3683f92aeb68157c5d9e15a58bc6d7a78090548

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:626dce07b77457f66eb603c2161e6a0fc81316cf330a206de864e2caf8292bfd

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:b57b61859f45051bf325b2c9c178622312df4b89ac17c0c500059dd64cd68144

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
verified exact
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:509e4642c12dbcf26e72aa61b53f0a88d40dc1269ff41c9dde56fbaa7d337ea9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:768dfdac8be89d283333e8836745792ed03b394fa2da5133a3f27917b9980c6d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:6c669c4a41cf20502e2f9d09578d36078cc703d208ffe47fd04de3f2ddec7146

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:5d49299f5615d4bc4af884d124e693ec822fb5ee7f2445597ea27b436ff90198

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

Resolution
unresolved
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:b4ebd6daef76b0f2ba019d6318e58a50c1c81f4aa30aa7af3d704bb58da37647

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:1bd0e1ef5fd4fc60d04da1f150ac8baabea829386b2a6f28fa422702164f1489

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:6f3477b25e7fb63c2cfc39c4c16f9d1e75e09bbad3b05ff6aa0d87d7600d828d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:6b3e68ad65ad1fbe631f33f7895a2d5e5ed6ae1cb044f368dd9a1920938c44ba

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:62eca403b7a2a7e278c7bcea8be2c23b85a30ee01ff93acfbc36ba3a893e7135

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:8c315216af2b843bc225c17a172f59a2e35ec4371899d64823f5f09b71c94bd8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:bd3d4d47cbb6cc3c5c641dd5f9302bdd68a4206b664622074a8240679850fc1e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:8396735fef6287e40a06122ca60e727043524e58a42dcd467dfa16501bd9d501

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:80ba4cecd995f4ce6a268a34c44af3be2b04437ee162318294e2a0f429cd5897

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:f8ea04b889080f0b3cc2680538f96201ff544e17cb968e1360b448680c96374a

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

Resolution
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:0effea00e72b744108a7b8fe7ccc311c97baa894c2e184ae04838c68cbd84c38

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:7d8394c771ac1948742e29ca66b508a44431adf5b2e67d33f874b8aac4bfbe61

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:cd0a8820ea48d2b535dd3bd17df3abf8e0f99ffa2e62fe74ea8334cec1ac303d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:f46835cdcbdf36bbdb5e1278a0bcc23095da174e70cdb92548808401f533df22

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:7efb6b1fb7170586975c1532060b9cc5f67000008c96dfcfb67ff7148c9aaa1c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:d62efa35868671092705a64256b3ec77ee97faa6c332a1f5adb10308fdad213f

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

Resolution
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:50bc7cc911e051206c8c441986047b9668f489b0d9611e7b03faa1aee526d2c2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:33383ed1dd60e954199990390b461d08e1d9bb8f69a96b4d8ed0f959eda384b4

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:422ff68b403b6930b8d27fc756e7cbfd2bca421680b5c2b77e1c2e831cd53bf2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:6508b37d358288a9d6f5c91e2fe7df13e89617f6f7efe73941726102cde56e3e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T01:24:12.412433Z digest=sha256:1f35ea3c6107ba8f8551581f3bd4a6fb1be12650eb6d452935c90d4a253cbc7b

Pith citing papers

No inbound Pith citation observations are available.