Paper Citation Record · LEDGER

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent

As of 12 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2607.10377.

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pith.paper-citation-record.v1
2607.10377 v1

Coverage vector

measured 42 of 42 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-14T12:12:15.334337Z

measured 42 of 42 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

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Pith citing papers itemized under the disclosed page cap.

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Source: cited_works

Reference resolution

42 of 42 outbound references displayed

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verified fuzzy0
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External citation measurements

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Outbound references

Observation 57911faa-c042-40b8-8585-7571b6766fba · outbound

This paper cites an unresolved cited work.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Unresolved cited work

Reference 1

Resolution: verified exact; doi, observed 2026-07-14T12:20:27.449860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 72b69542-5fea-4672-b343-84714e11e142 · outbound

This paper cites an unresolved cited work.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Unresolved cited work

Reference 2

Resolution: verified exact; doi, observed 2026-07-14T12:20:27.332907Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e46ef766-5c8c-4fc0-8b04-fb0083a00298 · outbound

This paper cites Beckermann , The condition number of real Vandermonde, Krylov and positive defi- nite Hankel matrices, Numer.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Beckermann , The condition number of real Vandermonde, Krylov and positive defi- nite Hankel matrices, Numer

Reference 3

Resolution: malformed identifier; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Unavailable: canonical work link unavailable.

Observation 1fbfff12-a06e-4fd3-9f08-4c623bdff693 · outbound

This paper cites Betcke, N.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Betcke, N

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation 25881966-11d7-4825-82e1-66e395cce7d2 · outbound

This paper cites Beyn , An integral method for solving nonlinear eigenvalue problems, Linear Algebra Appl., 436 (2012), pp.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Beyn , An integral method for solving nonlinear eigenvalue problems, Linear Algebra Appl., 436 (2012), pp

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation 41f47887-681b-41ed-ac5c-a2119562f35a · outbound

This paper cites Blatt and R.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Blatt and R

Reference 6

Resolution: malformed identifier; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation 5b889184-f6ab-4633-99e9-3a17797e9e74 · outbound

This paper cites an unresolved cited work.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Unresolved cited work

Reference 7

Resolution: verified exact; doi, observed 2026-07-14T12:20:27.395804Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 747031f0-4897-4cc9-9364-9e8f022f753d · outbound

This paper cites Bujanovic and D.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Bujanovic and D

Reference 8

Resolution: verified exact; doi, observed 2026-07-14T12:20:27.376499Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ca8dee80-d30c-4193-a3ca-9cb003f0164b · outbound

This paper cites an unresolved cited work.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Unresolved cited work

Reference 9

Resolution: verified exact; doi, observed 2026-07-14T12:20:27.337343Z

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Observation 3c312bd1-8b17-478b-b956-65ccf8e81475 · outbound

This paper cites De Terán, F.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent De Terán, F

Reference 10

Resolution: verified exact; doi, observed 2026-07-14T12:20:27.342936Z

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Observation adb4e08e-1542-42dd-9fee-3717d3e95ec8 · outbound

This paper cites https://dlmf.nist.gov/, Release 1.2.4 of 2025- 03-15, https://dlmf.nist.gov/.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent https://dlmf.nist.gov/, Release 1.2.4 of 2025- 03-15, https://dlmf.nist.gov/

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation c4f21a96-8ef4-450d-b01c-1289c31199ef · outbound

This paper cites Epstein, Some applications of the Mellin transform in statistics, Ann.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Epstein, Some applications of the Mellin transform in statistics, Ann

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation e8f0808d-2773-480a-abf7-1c6a805b72a1 · outbound

This paper cites Gautschi, On inverses of Vandermonde and confluent Vandermonde matrices, Numer.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Gautschi, On inverses of Vandermonde and confluent Vandermonde matrices, Numer

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation 871efe18-99f1-488a-bd8d-f5521f9b41e4 · outbound

This paper cites Ga vin, A.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Ga vin, A

Reference 14

Resolution: verified exact; doi, observed 2026-07-14T12:20:27.328483Z

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Observation 48e794f6-f80c-460a-b123-8dac1c947aa2 · outbound

This paper cites an unresolved cited work.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation fdbbf9a6-f5d3-4d56-97b3-8753ba469b9b · outbound

This paper cites an unresolved cited work.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Unresolved cited work

Reference 16

Resolution: malformed identifier; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation 0ee30350-b6dc-4ebb-9c32-2b6e2c2e1a35 · outbound

This paper cites Güttel, D.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Güttel, D

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation db4b056b-3abb-4363-843f-11108a676ad7 · outbound

This paper cites Güttel, G.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Güttel, G

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation 73cd4e91-069f-4a53-aceb-eb3eb50ab919 · outbound

This paper cites Güttel and F.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Güttel and F

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation 71f08db6-6a40-479e-b9e8-b5adeacd28ab · outbound

This paper cites Güttel, R.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Güttel, R

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-14T12:12:15.334337Z

Source-reported events for the cited work

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Observation 50dbfedd-5e79-44c6-a873-888d99e2262d · outbound

This paper cites Ikegami, T.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Ikegami, T

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation 26f9a8af-006d-4462-bbd8-d2e3e04c6a89 · outbound

This paper cites an unresolved cited work.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Unresolved cited work

Reference 22

Resolution: malformed identifier; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation e5e4e6b8-d93a-46a4-9b98-623f88f1d240 · outbound

This paper cites Klein, Applications of linear barycentric rational interpolation, PhD thesis, Université de 24 NIAN SHAO AND YUJI NAKATSUKASA Fribourg, 2012.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Klein, Applications of linear barycentric rational interpolation, PhD thesis, Université de 24 NIAN SHAO AND YUJI NAKATSUKASA Fribourg, 2012

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation 0d2013cc-fcff-4389-ad16-6e5636639da6 · outbound

This paper cites Linear convergence of iterative contour integral-based eigensolvers for nonlinear eigenvalue problems.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Linear convergence of iterative contour integral-based eigensolvers for nonlinear eigenvalue problems

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-07-14T12:20:27.424741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fced5ec9-cfd1-4301-9eb3-cf28cf0caa82 · outbound

This paper cites Kressner, M.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Kressner, M

Reference 25

Resolution: malformed identifier; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation 54fe1503-1cd9-4b6b-8b2c-606a649dba3c · outbound

This paper cites Kressner and N.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Kressner and N

Reference 26

Resolution: verified exact; doi, observed 2026-07-14T12:20:27.350926Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 22afec0c-3295-4074-9a73-99178aa6f293 · outbound

This paper cites Lietaert, K.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Lietaert, K

Reference 27

Resolution: verified exact; doi, observed 2026-07-14T12:20:27.433214Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f98d3aab-580b-42fb-9c64-e3b7a8efee9f · outbound

This paper cites Mehrmann and H.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Mehrmann and H

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation 31eac079-0605-413f-8f4b-2a3f14569056 · outbound

This paper cites an unresolved cited work.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Unresolved cited work

Reference 29

Resolution: verified exact; doi, observed 2026-07-14T12:20:27.383239Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bd8e417c-b755-418d-9f97-66dc492d1afb · outbound

This paper cites an unresolved cited work.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation 2233383d-fbed-46a0-883d-484cee57dcf3 · outbound

This paper cites an unresolved cited work.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Unresolved cited work

Reference 31

Resolution: verified exact; doi, observed 2026-07-14T12:20:27.406155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a1a52fb0-6fa3-4332-8431-8452965ba178 · outbound

This paper cites Nakatsukasa, O.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Nakatsukasa, O

Reference 32

Resolution: malformed identifier; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation 729853b5-e4db-4a57-8d00-c81a81a3b75c · outbound

This paper cites Nakatsukasa and L.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Nakatsukasa and L

Reference 33

Resolution: verified exact; doi, observed 2026-07-14T12:20:27.355991Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 341d5ac2-b5da-42d0-89fe-0d2a8c421db1 · outbound

This paper cites Neumaier, Residual inverse iteration for the nonlinear eigenvalue problem, SIAM J.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Neumaier, Residual inverse iteration for the nonlinear eigenvalue problem, SIAM J

Reference 34

Resolution: unresolved; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation 21cd51ed-7296-4573-8085-5ea22294add7 · outbound

This paper cites Polizzi, Density-matrix-based algorithm for solving eigenvalue problems, Phys.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Polizzi, Density-matrix-based algorithm for solving eigenvalue problems, Phys

Reference 35

Resolution: unresolved; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation 43276132-0684-4718-9e02-99c2c5234d3f · outbound

This paper cites Rudelson and R.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Rudelson and R

Reference 36

Resolution: unresolved; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation d2b07324-849a-4c80-bb92-8f369cbf179e · outbound

This paper cites A rational approximation method for the nonlinear eigenvalue problem.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent A rational approximation method for the nonlinear eigenvalue problem

Reference 37

Resolution: malformed identifier; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation c8425cc9-341c-44b6-b4d5-c8ca8351d796 · outbound

This paper cites Sakurai and H.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Sakurai and H

Reference 38

Resolution: malformed identifier; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Observation 8c32ed72-5c28-4070-9921-78404b874816 · outbound

This paper cites A structural bound for cluster robustness of randomized small-block Lanczos.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent A structural bound for cluster robustness of randomized small-block Lanczos

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-07-14T12:20:27.363167Z

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Observation 2e1d4c03-4db4-482b-8c51-81d3cbc7998b · outbound

This paper cites an unresolved cited work.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Unresolved cited work

Reference 40

Resolution: verified exact; doi, observed 2026-07-14T12:20:27.428970Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 17997542-ad97-4ccb-8020-8c46e241a90e · outbound

This paper cites Wedin, Perturbation bounds in connection with singular value decomposition, Nordisk Tidskr.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Wedin, Perturbation bounds in connection with singular value decomposition, Nordisk Tidskr

Reference 41

Resolution: malformed identifier; no resolver link, observed 2026-07-14T12:12:15.334337Z

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Unavailable: canonical work link unavailable.

Observation 8fd21e0d-d788-4418-83e0-a74a9ac07699 · outbound

This paper cites an unresolved cited work.

Convergence analysis of a nonlinear eigensolver based on rational approximation of the resolvent Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-07-14T12:12:15.334337Z

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