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Paper Citation Record · LEDGER

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint

As of 16 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:1908.05406.

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

pith.paper-citation-record.v1
1908.05406 v2

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:25:33.273439Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

26 of 26 outbound references displayed

  • verified exact1
  • verified fuzzy24
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9c8afab5-2a6d-4aa5-9ee6-7acf82916615 · outbound

This paper cites Banjac, P.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Banjac, P

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.530570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.192564Z digest=sha256:cb1f8ba7883368ca8046896cb214a8aec76781519c690fab328779739f3dc359

Observation e012aaff-05ee-4c47-95bd-736f2b37f616 · outbound

This paper cites Bauschke and J.M.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Bauschke and J.M

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.521512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.196605Z digest=sha256:f3b299832bfe31b3f227244afe893a3a1f4e3a76dd430c0b541ebc12437bbf13

Observation b0b88f2c-98b2-44fa-bea3-014e9bbafb74 · outbound

This paper cites Bauschke, J.M.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Bauschke, J.M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.511382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.200313Z digest=sha256:4a728d45bd7ab4cfbefff8acbfe76c168a9344ec0e2caf595fadcd3a29185d0c

Observation 2dc36e5d-d036-4842-b420-8dc97085f0b8 · outbound

This paper cites Bauschke, R.I.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Bauschke, R.I

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.503048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.203738Z digest=sha256:3db59a49505a5679b6e8927f95cf72b597ea2afdf4ec457a9377e151359744fd

Observation 3d727326-1766-46cc-808a-24ff6ff2294c · outbound

This paper cites Bauschke and P .L.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Bauschke and P .L

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.494295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.207573Z digest=sha256:242e5f988566373a18f80a6c15b2067de191d47eaccb116b024d03efc2e7b62f

Observation fa7eb6c1-7321-4836-9ad1-b22fdad3c51a · outbound

This paper cites Bauschke, P .L.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Bauschke, P .L

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.485646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.211270Z digest=sha256:a9e782c6f02a70c7f6e84515e4aa13da64f967007db22b42c766593242f3c8a2

Observation ddbe6c52-dc3a-4231-b7fd-855abbac9e5e · outbound

This paper cites Bauschke, M.N.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Bauschke, M.N

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.477165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.215052Z digest=sha256:44d1282f9c346902a45d73de6258d8cf574453da059a66178c938ad292a15db3

Observation 9ee95e2d-ed7b-4580-a1bb-97016c4e836e · outbound

This paper cites Bauschke, W.L.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Bauschke, W.L

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.469168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.218327Z digest=sha256:fe53633f44a777c29f79877e23ea48f460dec2b0f1d78fb00ac440bce53ba8f3

Observation 1af5c1f6-656f-43fc-b174-ac9ed000b69e · outbound

This paper cites Bauschke, W.L.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Bauschke, W.L

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.460583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.221334Z digest=sha256:13fe7a51cf75c3d48cacb4f43cf5a005cc0f9cb82db1a14aefbb19734b78f57f

Observation 4be3fd3a-29f2-4845-953c-cffa920cc2ea · outbound

This paper cites Bauschke, S.M.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Bauschke, S.M

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.452576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.224490Z digest=sha256:9f4db61648a23572101e4dad7d5c2c282477ae5be15f867822de18c5f05a56ea

Observation 231e0479-32f3-4fa8-88a0-9a22de386bc8 · outbound

This paper cites Bauschke and W.M.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Bauschke and W.M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.443708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.227353Z digest=sha256:5db00fc77e583c75718604032eaa10b22df3e35327321603d11ed0f87bd84336

Observation d935f17e-c221-4357-b3f4-76cedb0ae289 · outbound

This paper cites Bauschke and W.M.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Bauschke and W.M

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.435073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.230360Z digest=sha256:1c7a99a43fc76ac9e335c68fbf29a382554163a92826fb892aaf2a69356bd407

Observation d9de0e56-8a53-4bf8-900a-c1a7b1083135 · outbound

This paper cites Bauschke and W.M.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Bauschke and W.M

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.426324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.233799Z digest=sha256:1e4cf3807684c357683a355412f0f74e54821043ba09673c328e152f732005eb

Observation 07cdce66-8e3f-41b8-ae31-535dcf85ce71 · outbound

This paper cites Bauschke, M.M.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Bauschke, M.M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.417140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.236961Z digest=sha256:06a8417e9395dc8756798801ea8a258b4278484a6a108ef9d8b44925acdfb5f7

Observation 17d95306-944c-45c4-b0fe-07d2a70dece1 · outbound

This paper cites Combettes, Iterative construction of the resolve nt of a sum of maximal monotone oper- ators, Journal of Convex Analysis 16 (2009), 727–748.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Combettes, Iterative construction of the resolve nt of a sum of maximal monotone oper- ators, Journal of Convex Analysis 16 (2009), 727–748

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.408270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.240183Z digest=sha256:5887ce17e79f69a93a543a1f608ba82c4ba419ee5ce9b3235e839d7440bc746a

Observation 6a50746c-14a4-4750-995d-9fa82bc4f6df · outbound

This paper cites Douglas and H.H.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Douglas and H.H

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.399059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.243363Z digest=sha256:10b147dee219202483cbd7c8b99f8a6337f6c1e57dbb497b366faf28c79b07e7

Observation cfe4046e-96f8-4507-8b32-075d8247708d · outbound

This paper cites Eckstein and D.P.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Eckstein and D.P

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.389733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.246638Z digest=sha256:99d706eccddc8902c3046df9d0db228d0985cc35329adc683305227bebb08690

Observation 159ae6cf-9425-4225-8305-8ba37fd40e31 · outbound

This paper cites Iusem, On some properties of paramonotone operato rs, Journal of Convex Analysis 5 (1998), 269–278.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Iusem, On some properties of paramonotone operato rs, Journal of Convex Analysis 5 (1998), 269–278

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.380383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.249870Z digest=sha256:8d8d79c5f68b1fa81f09c01ff16cafc70f848ff4464defdfadceb1e84217fe61

Observation bac0887e-885b-4268-b5f8-909c007ebff3 · outbound

This paper cites Kaczor and M.T.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Kaczor and M.T

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.370189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.252729Z digest=sha256:2680b226efc17e2a1917962e6570e70bb6927b4149dda2790ca8cfa1ff528058

Observation e0544356-52a5-4dd3-90fe-4f06d6fbb06a · outbound

This paper cites Knopp, Infinite Sequences and Series , Dover, New York, 1956.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Knopp, Infinite Sequences and Series , Dover, New York, 1956

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.360907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.255749Z digest=sha256:782f373fd89bf24c047a04997bf6882541aabe3d63940324a6817b4183bb9db8

Observation 687e047f-96e7-4354-a205-9cd350bc8209 · outbound

This paper cites Lions and B.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Lions and B

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.351734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.258650Z digest=sha256:3242e89a0213e3b54b3752713f34eda46fa85ebd69479a1f3d0deb2657c5d731

Observation 4fe62703-39b6-46d2-832c-e82989db3705 · outbound

This paper cites Liu, E.K.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Liu, E.K

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.342086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.261543Z digest=sha256:f01f955cec234edfc4a10982d84b93fcef2d781b8e5895345cbdebdbb4a83247

Observation c2f54be0-7319-48e3-be53-345400c0591d · outbound

This paper cites Moffat, W.M.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Moffat, W.M

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.332498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.264375Z digest=sha256:2c0acb945e68b216194569aa9533a9684f90d285f205ca64af7394fc3f88d8a7

Observation 1475b60f-8518-43ea-91a9-e455f83e58fb · outbound

This paper cites Rockafellar, Convex Analysis, Princeton University Press, Princeton, 1970.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Rockafellar, Convex Analysis, Princeton University Press, Princeton, 1970

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-14T13:25:33.267185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:25:33.267185Z digest=sha256:b69c32107235fd534f1ab48e0e655002e9ec5a6602dcab2713e5b8144847152e

Observation 034cd0b3-ad9e-4cf6-a06a-c2ab1094b618 · outbound

This paper cites Douglas--Rachford Splitting and ADMM for Pathological Convex Optimization.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Douglas--Rachford Splitting and ADMM for Pathological Convex Optimization

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:25:33.306285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.270228Z digest=sha256:ae05b01a1c7531cf6fd36d4fc7d717ff50a415f9d63befe88fdd3c8b6f7825c8

Observation f2d2e6a7-1bf1-48a8-8d73-5ec49e4aaafa · outbound

This paper cites Svaiter, On weak convergence of the Douglas-Rachf ord method, SIAM Journal on Control and Optimization 49 (2011), 280–287.

On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint Svaiter, On weak convergence of the Douglas-Rachf ord method, SIAM Journal on Control and Optimization 49 (2011), 280–287

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:33.317045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:25:33.273439Z digest=sha256:e813837ba5319ad313ade0c4ef8ad9141526e3fadbf602f629797ee90829ffec

Pith citing papers

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