Paper Citation Record · LEDGER

Convergence analysis of GMRES applied to Helmholtz problems near resonances

As of 21 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2505.16345.

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pith.paper-citation-record.v1
2505.16345 v2

Coverage vector

measured 38 of 38 reference resolution

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Reference resolution

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External citation measurements

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Outbound references

Observation d84a07df-e303-4dc0-8f3a-b204f27456ab · outbound

This paper cites an unresolved cited work.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:53.318915Z

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Observation 04f46177-adf0-40a2-85c9-1f7393375095 · outbound

This paper cites Bastian, G.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Bastian, G

Reference 2

Resolution: verified exact; doi, observed 2026-08-07T15:09:59.115214Z

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Observation a8dd7434-0670-4c4b-8dcd-86398f17f9e4 · outbound

This paper cites Beckermann, S.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Beckermann, S

Reference 3

Resolution: verified exact; doi, observed 2026-08-07T15:09:58.982651Z

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Observation df8be3e6-70ef-4c9f-9a5b-5c4c0cba9407 · outbound

This paper cites Berenger , A perfectly matched layer for the absorption of electromagnetic waves , Journal of Computational Physics, 114 (1994), pp.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Berenger , A perfectly matched layer for the absorption of electromagnetic waves , Journal of Computational Physics, 114 (1994), pp

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:53.491424Z

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Observation e693ad42-b25e-424f-9bfe-6e6040495117 · outbound

This paper cites B \' e riot and A.

Convergence analysis of GMRES applied to Helmholtz problems near resonances B \' e riot and A

Reference 5

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Observation 6aff32e0-89c7-4577-a926-4fc6be48713a · outbound

This paper cites Berm \' u dez, L.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Berm \' u dez, L

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:53.675246Z

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Observation ecee0274-1a8f-4809-9e83-d1335dcd4884 · outbound

This paper cites Berm \' u dez, L.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Berm \' u dez, L

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:53.784027Z

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Observation 47608739-f686-4047-99fa-07ee755d8648 · outbound

This paper cites Bécache, A.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Bécache, A

Reference 8

Resolution: verified exact; doi, observed 2026-08-07T15:09:58.840382Z

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Observation 92bbc300-6b50-4deb-98be-c16c046ca955 · outbound

This paper cites an unresolved cited work.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Unresolved cited work

Reference 9

Resolution: verified exact; doi, observed 2026-08-07T15:09:58.718694Z

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

Observation 8dbf3e54-1221-49ac-aa66-2316f84cdb8a · outbound

This paper cites Cao , A note on the convergence behavior of GMRES , Applied Numerical Mathematics, 25 (1997), pp.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Cao , A note on the convergence behavior of GMRES , Applied Numerical Mathematics, 25 (1997), pp

Reference 10

Resolution: verified exact; doi, observed 2026-08-07T15:09:58.571491Z

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Observation 9a2cc0fc-9016-49ac-a1a0-0eda4fac38da · outbound

This paper cites an unresolved cited work.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Unresolved cited work

Reference 11

Resolution: verified exact; doi, observed 2026-08-07T15:09:58.449721Z

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Observation 1fb91cd1-aadc-4184-be3f-aef0a8955d0f · outbound

This paper cites Crouzeix and C.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Crouzeix and C

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:54.395917Z

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Observation bb5b0b31-9614-4b39-9ca8-96e68591a8e2 · outbound

This paper cites an unresolved cited work.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Unresolved cited work

Reference 13

Resolution: verified exact; doi, observed 2026-08-07T15:09:58.277520Z

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Observation d02f4bbb-cdbf-441a-86d3-fb26687b6888 · outbound

This paper cites Dolean, P.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Dolean, P

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:54.619176Z

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Observation e9266035-10e3-4920-a5d2-b38c46a66046 · outbound

This paper cites How Descriptive are GMRES Convergence Bounds?.

Convergence analysis of GMRES applied to Helmholtz problems near resonances How Descriptive are GMRES Convergence Bounds?

Reference 15

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Observation 01079e5c-590e-4268-aefb-874a6385538c · outbound

This paper cites Extending Elman's Bound for GMRES.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Extending Elman's Bound for GMRES

Reference 16

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Observation 2c5cc087-a42e-4e44-91e3-45d9ccb0ee4e · outbound

This paper cites Engquist and A.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Engquist and A

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:54.910470Z

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Observation 3d556d5d-f4b1-43a0-983e-7c5d870f2b73 · outbound

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Convergence analysis of GMRES applied to Helmholtz problems near resonances Unresolved cited work

Reference 18

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Observation 48d70e2f-56a3-4002-bb2d-a9f06455a7e2 · outbound

This paper cites an unresolved cited work.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Unresolved cited work

Reference 19

Resolution: verified exact; doi, observed 2026-08-07T15:09:57.975788Z

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Observation c0831396-1ae1-451d-8f05-f80f6cd97f14 · outbound

This paper cites an unresolved cited work.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:55.278028Z

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Observation f5e06fd4-3aeb-421e-bfe1-d9363a36e43f · outbound

This paper cites Galkowski, P.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Galkowski, P

Reference 21

Resolution: verified exact; doi, observed 2026-08-07T15:09:57.823261Z

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Observation 6ffb05fa-236d-4a6d-b5a2-d5869e111af7 · outbound

This paper cites an unresolved cited work.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Unresolved cited work

Reference 22

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Observation d71c8af7-6d6b-4c4e-b3ce-1b97327526b6 · outbound

This paper cites García Ramos, R.

Convergence analysis of GMRES applied to Helmholtz problems near resonances García Ramos, R

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:55.546572Z

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Observation ca811cf1-1334-4c9d-9dde-987ec6c16401 · outbound

This paper cites Marchand, J.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Marchand, J

Reference 24

Resolution: verified exact; doi, observed 2026-08-07T15:09:57.619962Z

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Observation c4d548f3-024f-4db3-9f90-681e06691187 · outbound

This paper cites Marchner, H.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Marchner, H

Reference 25

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Observation df1c1da4-6784-4107-a057-11efd085e81f · outbound

This paper cites an unresolved cited work.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:09:59.777689Z

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Observation 3ba09231-c9e6-4d27-8b5c-a6b604ed0698 · outbound

This paper cites Modave, C.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Modave, C

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:55.831144Z

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Observation 93171f9d-0a26-48df-b1eb-8035db2d44f1 · outbound

This paper cites A two-level shifted Laplace preconditioner for Helmholtz problems: Field-of-values analysis and wavenumber-independent convergence.

Convergence analysis of GMRES applied to Helmholtz problems near resonances A two-level shifted Laplace preconditioner for Helmholtz problems: Field-of-values analysis and wavenumber-independent convergence

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:09:57.445578Z

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Observation 39f3a483-d9b0-430c-8481-a4b8c4c308a8 · outbound

This paper cites an unresolved cited work.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Unresolved cited work

Reference 29

Resolution: verified exact; doi, observed 2026-08-07T15:09:57.304256Z

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

Observation b632f0c2-c574-4ba8-aa90-bbb3ad597324 · outbound

This paper cites Saad , Iterative Methods for Sparse Linear Systems , Society for Industrial and Applied Mathematics, 2003, https://doi.org/10.1137/1.9780898718003.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Saad , Iterative Methods for Sparse Linear Systems , Society for Industrial and Applied Mathematics, 2003, https://doi.org/10.1137/1.9780898718003

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:56.045001Z

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Observation e2b6f178-f9ac-4f4d-af63-f33a3507fb95 · outbound

This paper cites Saad , Numerical Methods for Large Eigenvalue Problems , Society for Industrial and Applied Mathematics, 2011, https://doi.org/10.1137/1.9781611970739.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Saad , Numerical Methods for Large Eigenvalue Problems , Society for Industrial and Applied Mathematics, 2011, https://doi.org/10.1137/1.9781611970739

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:56.118833Z

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Observation 06a05c0b-566b-41c6-b128-1db21bbd6ad0 · outbound

This paper cites Saad and M.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Saad and M

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:56.195482Z

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Observation 3f9ba500-f321-4f63-8447-976c2d5530ca · outbound

This paper cites New Convergence Analysis of GMRES with Weighted Norms, Preconditioning and Deflation, Leading to a New Deflation Space.

Convergence analysis of GMRES applied to Helmholtz problems near resonances New Convergence Analysis of GMRES with Weighted Norms, Preconditioning and Deflation, Leading to a New Deflation Space

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:09:57.137662Z

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Observation 43d5dae2-28f1-462a-b323-1d7866dce187 · outbound

This paper cites an unresolved cited work.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Unresolved cited work

Reference 34

Resolution: verified exact; doi, observed 2026-08-07T15:09:57.005488Z

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Observation 31cb69fd-b40f-4aad-bf7d-57c04c008a43 · outbound

This paper cites Turkel and A.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Turkel and A

Reference 35

Resolution: verified exact; doi, observed 2026-08-07T15:09:56.888410Z

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

Observation 594e31ac-714d-4fd2-b41a-539ddce1fba2 · outbound

This paper cites van der Sluis and H.

Convergence analysis of GMRES applied to Helmholtz problems near resonances van der Sluis and H

Reference 36

Resolution: verified exact; doi, observed 2026-08-07T15:09:56.760891Z

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

Observation 9039ea06-ca53-46d8-a86b-33b023fc9a5d · outbound

This paper cites Vuik , Krylov Subspace Solvers and Preconditioners , ESAIM: Proceedings and Surveys, 63 (2018), pp.

Convergence analysis of GMRES applied to Helmholtz problems near resonances Vuik , Krylov Subspace Solvers and Preconditioners , ESAIM: Proceedings and Surveys, 63 (2018), pp

Reference 37

Resolution: verified exact; raw_fallback, observed 2026-08-07T15:09:59.351251Z

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Observation c0067d24-78db-4257-beb3-26df5164d1dc · outbound

This paper cites write newline.

Convergence analysis of GMRES applied to Helmholtz problems near resonances write newline

Reference 38

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