Paper Citation Record · LEDGER

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations

As of 16 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:1908.06016.

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

pith.paper-citation-record.v1
1908.06016 v2

Coverage vector

measured 52 of 52 reference resolution

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measured 52 of 52 standing notices

One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

52 of 52 outbound references displayed

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External citation measurements

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Outbound references

Observation c4181fce-ec47-4cb0-ae5f-60d0641af81a · outbound

This paper cites an unresolved cited work.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:38.435092Z

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Observation ab2a8889-d952-4734-97ca-ec4143ad7022 · outbound

This paper cites an unresolved cited work.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:38.417515Z

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Observation ccd5dad8-c285-4923-ae0b-f47d37d0bf72 · outbound

This paper cites Babuˇska, R.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Babuˇska, R

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.396905Z

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Observation 5aff736d-99c1-400a-b15f-864ca673fb64 · outbound

This paper cites an unresolved cited work.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:38.376625Z

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Observation 6b46b0a1-acec-45f6-9fa7-c9d9ccd48d64 · outbound

This paper cites Baumann, R.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Baumann, R

Reference 5

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Observation ca6652ec-4f30-4b25-a8a1-dd0b979325f1 · outbound

This paper cites Beckermann, An Error Analysis for Rational Galerkin Projection applied to the Sylvester Equation , SIAM J.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Beckermann, An Error Analysis for Rational Galerkin Projection applied to the Sylvester Equation , SIAM J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.327055Z

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Observation d67e58b7-943e-4d1d-9009-491b968d68b8 · outbound

This paper cites Beckermann, D.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Beckermann, D

Reference 7

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Observation f731f00d-cc3a-4790-9c74-9697bbf6b2a0 · outbound

This paper cites Beckermann and A.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Beckermann and A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.288062Z

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Observation b82f0b08-5bf9-426c-b82d-3521e5e9dcd0 · outbound

This paper cites 14, 2002, pp.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations 14, 2002, pp

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.267114Z

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Observation d349cfdb-f5d8-4722-b566-0e611d1685af · outbound

This paper cites Benner and T.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Benner and T

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.245165Z

Source-reported events for the cited work

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Observation f617c589-27a6-475c-afe7-44428dca7467 · outbound

This paper cites an unresolved cited work.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:38.218736Z

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.

Observation e7d03336-b4a1-4fc3-aeed-a11d449f0308 · outbound

This paper cites Benner and T.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Benner and T

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.183922Z

Source-reported events for the cited work

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Observation 2a28e682-b018-48c0-ba5e-4d0ab115b229 · outbound

This paper cites Benner, V.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Benner, V

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.153355Z

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Observation ee968b61-1aef-4826-bcb3-831ff32c1977 · outbound

This paper cites Benner and J.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Benner and J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.131446Z

Source-reported events for the cited work

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Observation d5536d09-ded9-451e-ad95-6c8ef60df070 · outbound

This paper cites an unresolved cited work.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:38.106804Z

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Observation 1105a506-44b2-4493-8caa-d7d22bba4d32 · outbound

This paper cites an unresolved cited work.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:38.081895Z

Source-reported events for the cited work

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Observation 50b91757-5d46-4af0-b31e-a3b16819089f · outbound

This paper cites Damm, Direct methods and ADI-preconditioned Krylov subspace methods for generalized Lyapunov equa- tions, Num.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Damm, Direct methods and ADI-preconditioned Krylov subspace methods for generalized Lyapunov equa- tions, Num

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.051127Z

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.

Observation 0e610491-abe8-4bd0-a65a-9c5d87565e5d · outbound

This paper cites Druskin, L.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Druskin, L

Reference 18

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Source-reported events for the cited work

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Observation 7b915236-5fb9-4ead-bc19-9b1f587361ef · outbound

This paper cites an unresolved cited work.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:38.008870Z

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Observation 507dbb58-281a-4109-b387-1645293f9062 · outbound

This paper cites an unresolved cited work.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:37.976364Z

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Observation 3d6499f1-d9d5-4934-a1df-f6f819107bb3 · outbound

This paper cites an unresolved cited work.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Unresolved cited work

Reference 21

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3b93c69-80ac-4f59-8d7f-b052c989cfba · outbound

This paper cites an unresolved cited work.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:37.930474Z

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.

Observation 2a7415ba-6e1e-43ac-a1a9-1db5205a5e0e · outbound

This paper cites Jarlebring, G.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Jarlebring, G

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-14T13:05:36.780587Z

Source-reported events for the cited work

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Observation 3f4f6d9f-4975-4d45-9656-59e45c8a764a · outbound

This paper cites Knizhnerman and V.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Knizhnerman and V

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:37.891063Z

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.

Observation 90123442-d9e1-4221-82a9-f5f6f4296c02 · outbound

This paper cites Konstantinov, V.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Konstantinov, V

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:37.857214Z

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.

Observation 3a41b160-5e0f-47fb-b2ae-70b8e2b2f48b · outbound

This paper cites Kressner and P.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Kressner and P

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:37.822752Z

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.

Observation af2b72c5-6cfc-4fd5-a80c-61e6ef4acd6e · outbound

This paper cites Kressner and C.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Kressner and C

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:37.790036Z

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.

Observation 09cbc0bd-04e8-446e-8d5c-9a09136958d6 · outbound

This paper cites Lancaster, Explicit solutions of linear matrix equations , SIAM Rev., 12 (1970), pp.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Lancaster, Explicit solutions of linear matrix equations , SIAM Rev., 12 (1970), pp

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:37.768141Z

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Observation 513b4ffb-2e25-484d-803f-5e2115063364 · outbound

This paper cites Principles and Analysis , Oxford University Press, 2013.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Principles and Analysis , Oxford University Press, 2013

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:37.739141Z

Source-reported events for the cited work

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Observation 9e2423bf-d1f7-48ae-a760-929a8ed921d5 · outbound

This paper cites Lin and V.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Lin and V

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:37.719054Z

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.

Observation 53aa1a53-3ffb-4189-8bca-bef93682568b · outbound

This paper cites L¨ofberg, YALMIP : A toolbox for modeling and optimization in MATLAB , in Proceedings of the CACSD Conference, Taipei, Taiwan, 2004.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations L¨ofberg, YALMIP : A toolbox for modeling and optimization in MATLAB , in Proceedings of the CACSD Conference, Taipei, Taiwan, 2004

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:37.675026Z

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.

Observation d45b3d44-a091-4739-877f-2e3cc98abbd0 · outbound

This paper cites Malick, A dual approach to semideﬁnite least-squares problems , SIAM J.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Malick, A dual approach to semideﬁnite least-squares problems , SIAM J

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:37.646935Z

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.

Observation 35f7c08d-54c5-42fb-a198-c24568dadfdc · outbound

This paper cites an unresolved cited work.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:37.626476Z

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.

Observation fe13e316-77e7-4313-9f15-faa1f2b33fe4 · outbound

This paper cites an unresolved cited work.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:37.602110Z

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.

Observation f92ca591-2238-4581-8cba-6cab4d4f9021 · outbound

This paper cites Palitta and V.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Palitta and V

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:37.564096Z

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.

Observation 8b647100-2a05-459a-8969-4cf78377f13c · outbound

This paper cites Palitta and V.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Palitta and V

Reference 36

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Observation 65fb8856-5f5a-4019-9540-71ac7bb925ff · outbound

This paper cites an unresolved cited work.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:37.500607Z

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.

Observation d0bbf277-922e-4d99-a10f-b61ba5b7eee4 · outbound

This paper cites an unresolved cited work.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:37.467563Z

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.

Observation fb00e4ae-3a73-4371-92d3-0535b119a6f5 · outbound

This paper cites Saad, Numerical Methods for Large Eigenvalue Problems , Halstead Press, New York, 1992.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Saad, Numerical Methods for Large Eigenvalue Problems , Halstead Press, New York, 1992

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:37.439194Z

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.

Observation 2b0aebc7-3f79-4401-9ddb-61910bf59fbf · outbound

This paper cites Saad, Iterative methods for sparse linear systems , SIAM, Society for Industrial and Applied Mathematics, Philadelphia, PA, 2nd ed., 2003.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Saad, Iterative methods for sparse linear systems , SIAM, Society for Industrial and Applied Mathematics, Philadelphia, PA, 2nd ed., 2003

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:37.412938Z

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.

Observation 983720cf-0b3e-4b31-8191-ced9faf710e0 · outbound

This paper cites Saad and M.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Saad and M

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:37.379579Z

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.

Observation d3f2d9c9-f5a1-496d-b6fe-9ac791906d9a · outbound

This paper cites an unresolved cited work.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-14T13:05:36.930231Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f892ccd-65d5-416c-b3cb-c80dbf200d53 · outbound

This paper cites an unresolved cited work.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-14T13:05:36.954773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 368aa452-d8e9-4f02-8fa9-2fcb9e664bbc · outbound

This paper cites Simoncini, Computational methods for linear matrix equations , SIAM Rev., 58 (2016), pp.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Simoncini, Computational methods for linear matrix equations , SIAM Rev., 58 (2016), pp

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-14T13:05:36.960868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f255775c-4d81-4250-ba29-024606374dbd · outbound

This paper cites Simoncini and V.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Simoncini and V

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:37.288933Z

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.

Observation 55027ada-d062-4098-8a16-66f64d5f7558 · outbound

This paper cites an unresolved cited work.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:37.262056Z

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.

Observation c42f51c3-b2a7-4ad0-8b89-673e0faaef00 · outbound

This paper cites Snyders and M.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Snyders and M

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:37.235529Z

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.

Observation 2f7ce42c-7249-4f79-8361-79560c3eb0c1 · outbound

This paper cites Stoll and T.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Stoll and T

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-14T13:05:36.986518Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef14d5ba-edb6-41be-a2e2-b6a9d3d4848e · outbound

This paper cites Strang and G.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Strang and G

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:37.180523Z

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.

Observation d220aa72-df5d-4b7f-ae61-9185411883bf · outbound

This paper cites an unresolved cited work.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Unresolved cited work

Reference 50

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:37.150413Z

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.

Observation 42b2555f-9e91-4be6-82d3-ecce4d13d1ed · outbound

This paper cites van der Sluis and H.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations van der Sluis and H

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-14T13:05:37.009203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff8a6f46-f923-4861-94bc-e350508a1bcd · outbound

This paper cites Vandereycken and S.

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations Vandereycken and S

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:37.082762Z

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.

Pith citing papers

No inbound Pith citation observations are available.