Paper Citation Record · LEDGER

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems

As of 19 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2501.07807.

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

pith.paper-citation-record.v1
2501.07807 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:47:03.448851Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

28 of 28 outbound references displayed

verified exact0
verified fuzzy7
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4271c3ab-5b12-4fcb-88ac-97bfab1c3349 · outbound

This paper cites an unresolved cited work.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:47:04.412841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 74e2dc92-e82c-444b-bebc-6ca36f5faaa0 · outbound

This paper cites In: Ad- vances in Neural Information Processing System, vol.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems In: Ad- vances in Neural Information Processing System, vol

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:47:04.382898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d9a7a84f-f545-4c0b-b3b0-7d4a30c22226 · outbound

This paper cites an unresolved cited work.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:47:04.358059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 875400f3-240e-4018-84b9-e365264c01ef · outbound

This paper cites an unresolved cited work.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:47:04.330173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9d547a55-0e72-468e-9ce6-3ab01c07f54c · outbound

This paper cites Set-Valued Ana l.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Set-Valued Ana l

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:47:04.301929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7079486b-bc73-4fa3-a66c-78f582ad22ee · outbound

This paper cites an unresolved cited work.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:47:04.272436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7157c3d5-d162-41ef-afa7-f292c90a6d72 · outbound

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

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems HPR-LP: An implementation of an HPR method for solving linear programming

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T20:47:03.289458Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6084f3d1-27e8-4119-b157-e35d5f8caa10 · outbound

This paper cites an unresolved cited work.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:47:04.246242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7b78559a-74bf-478a-85e3-090d01c54911 · outbound

This paper cites In: Splitting Methods in Communication, Imaging, Science, and Engineeri ng, pp.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems In: Splitting Methods in Communication, Imaging, Science, and Engineeri ng, pp

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:47:04.211504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation dc5a9473-28d3-46e1-b3db-95a88f8f2018 · outbound

This paper cites Nonlinear Anal.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Nonlinear Anal

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:47:04.167360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0d5f2fdf-5b09-4734-8ec7-41f4558f3fb9 · outbound

This paper cites an unresolved cited work.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:47:04.127142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 18b1fde8-1545-4fa0-b0bd-192f9898568f · outbound

This paper cites an unresolved cited work.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:47:04.099575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 14290ec3-8bef-48a4-826a-e14a85531f7f · outbound

This paper cites an unresolved cited work.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:47:04.068832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 64387c96-465f-4923-b8c8-f3ec5af4dbe8 · outbound

This paper cites IEEE Trans.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems IEEE Trans

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:47:04.032370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a0c2a2c3-bf74-47b5-a86f-c6214bf02546 · outbound

This paper cites an unresolved cited work.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:47:04.009061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e72d1a0d-853f-4623-a3e8-fcb5063bb217 · outbound

This paper cites an unresolved cited work.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:47:03.969675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5ddb974e-d8fe-468e-8305-a4619d8f854c · outbound

This paper cites an unresolved cited work.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:47:03.937876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 89e0c0da-3291-4c8c-acde-4b6b26ff56ae · outbound

This paper cites an unresolved cited work.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:47:03.914525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 61494465-ff6e-41ac-bf55-7aa09e78fa0e · outbound

This paper cites an unresolved cited work.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:47:03.888711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1c278f09-6218-49bc-b6f5-baefa1a389e3 · outbound

This paper cites an unresolved cited work.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-10T20:47:03.383940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9dac5f22-fd13-4533-8013-7a79d7e4dd9c · outbound

This paper cites arXiv preprint arXiv:1 611.03167 (2016).

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems arXiv preprint arXiv:1 611.03167 (2016)

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:47:03.832128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d8271f53-b7bf-4e5d-926f-6d63d95ec841 · outbound

This paper cites an unresolved cited work.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:47:03.796540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8b1c124d-fef0-4e24-8dc0-8d0b70196055 · outbound

This paper cites arXiv preprint arXiv:24 03.18618 (2024).

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems arXiv preprint arXiv:24 03.18618 (2024)

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:47:03.771708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2333a452-e5c0-4f0d-83a0-c951c4786466 · outbound

This paper cites an unresolved cited work.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:47:03.730616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b9b44ed1-7c72-4eaa-a9b1-f15a32eb80fb · outbound

This paper cites an unresolved cited work.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:47:03.690394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 99348a71-26fc-4a1b-8f0a-6f83038e8c50 · outbound

This paper cites an unresolved cited work.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:47:03.632623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3aabecb5-a31b-4268-a812-dc615a3c4d2c · outbound

This paper cites an unresolved cited work.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:47:03.592275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ff39dccc-8dc0-40b8-8d4f-788641fec9c4 · outbound

This paper cites an unresolved cited work.

Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:47:03.561021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.