Paper Citation Record · LEDGER

Rational minimax approximation of matrix-valued functions

As of 10 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 1 inbound Pith citation observation for arXiv:2508.06378.

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

pith.paper-citation-record.v1
2508.06378 v2

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T22:54:04.737483Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T12:18:27.537415Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

46 of 46 outbound references displayed

verified exact0
verified fuzzy12
unresolved32
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1287ed38-b4e4-4c6f-b310-d1b366f03126 · outbound

This paper cites an unresolved cited work.

Rational minimax approximation of matrix-valued functions Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.549526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65048547-831e-40fc-9049-c2144b217f36 · outbound

This paper cites Barrodale and J.

Rational minimax approximation of matrix-valued functions Barrodale and J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:07.437848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2c3fffb4-52fe-4c53-9fcf-b18443351803 · outbound

This paper cites Berljafa and S.

Rational minimax approximation of matrix-valued functions Berljafa and S

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.559243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5fde9192-ae21-4f16-bd4c-423bf12dc1ae · outbound

This paper cites Berljafa and S.

Rational minimax approximation of matrix-valued functions Berljafa and S

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.563837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5716615-f82c-4dec-bb8d-41dfd1d051ad · outbound

This paper cites Boyd and L.

Rational minimax approximation of matrix-valued functions Boyd and L

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:07.312039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2df73848-00bc-4d28-9f46-1db6a0288cf6 · outbound

This paper cites an unresolved cited work.

Rational minimax approximation of matrix-valued functions Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:54:07.215149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bca400c7-fb3d-431f-b2c3-94aa56e461ea · outbound

This paper cites an unresolved cited work.

Rational minimax approximation of matrix-valued functions Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.579135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bcf251cc-1107-4db0-bcfd-82e0d884a001 · outbound

This paper cites Deschrijver, M.

Rational minimax approximation of matrix-valued functions Deschrijver, M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:07.044563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 73266614-e51a-44c1-9c37-a09fb12d4917 · outbound

This paper cites Drmaˇ c, S.

Rational minimax approximation of matrix-valued functions Drmaˇ c, S

Reference 9

Resolution: malformed identifier; raw_fallback, observed 2026-08-05T22:54:06.893358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 480848f8-5dab-4ffb-97d5-27b8a070290f · outbound

This paper cites Ellacott and J.

Rational minimax approximation of matrix-valued functions Ellacott and J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:06.724495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 412a7a50-0397-45e7-b5aa-ff48d6db356e · outbound

This paper cites an unresolved cited work.

Rational minimax approximation of matrix-valued functions Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.595847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a86382b4-27f9-4490-acd2-5334511d501b · outbound

This paper cites Filip, Y.

Rational minimax approximation of matrix-valued functions Filip, Y

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.600082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9376ecac-c8f1-480c-842f-14dc1a2bca43 · outbound

This paper cites an unresolved cited work.

Rational minimax approximation of matrix-valued functions Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:54:06.511823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b664af79-f509-4614-83cb-ca8abcc9d9e2 · outbound

This paper cites an unresolved cited work.

Rational minimax approximation of matrix-valued functions Unresolved cited work

Reference 14

Resolution: malformed identifier; doi_truncated, observed 2026-08-05T22:54:04.803443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation cc6ae2e0-5587-4e6a-9857-d42748db2e7b · outbound

This paper cites an unresolved cited work.

Rational minimax approximation of matrix-valued functions Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:54:06.338811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 24cabac4-d891-4869-aa34-08e4d4f0123b · outbound

This paper cites Gustavsen, Improving the pole relocating properties of vec tor ﬁtting, IEEE Trans.

Rational minimax approximation of matrix-valued functions Gustavsen, Improving the pole relocating properties of vec tor ﬁtting, IEEE Trans

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:06.226273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2f272d08-d919-434b-b5ad-f4e32d2ec12a · outbound

This paper cites Gustavsen, Matrix Fitting Toolbox, 2009, Https://www.sinte f.no/en/software/vector- ﬁtting/downloads/matrix-ﬁtting-toolbox/.

Rational minimax approximation of matrix-valued functions Gustavsen, Matrix Fitting Toolbox, 2009, Https://www.sinte f.no/en/software/vector- ﬁtting/downloads/matrix-ﬁtting-toolbox/

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:06.061722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a430b02c-4180-4637-ae0a-baac91fbc92e · outbound

This paper cites Gustavsen and A.

Rational minimax approximation of matrix-valued functions Gustavsen and A

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.623614Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f2dd16b-63da-420a-ae71-5955d26e098f · outbound

This paper cites an unresolved cited work.

Rational minimax approximation of matrix-valued functions Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.627772Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96036aab-2083-4a6f-9cd3-fd501fb0387d · outbound

This paper cites G¨ uttel and F.

Rational minimax approximation of matrix-valued functions G¨ uttel and F

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:05.889194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5bd03600-5107-41a4-ad4a-4c73456b5e95 · outbound

This paper cites G¨ uttel, G.

Rational minimax approximation of matrix-valued functions G¨ uttel, G

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.635904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a67194e-efc2-43c4-b28e-111031708f74 · outbound

This paper cites an unresolved cited work.

Rational minimax approximation of matrix-valued functions Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:54:05.731405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 198ff45b-4ffb-4a12-b2ca-3ad500016d01 · outbound

This paper cites Multivariate Rational Approximation Using a Stabilized Sanathanan-Koerner Iteration.

Rational minimax approximation of matrix-valued functions Multivariate Rational Approximation Using a Stabilized Sanathanan-Koerner Iteration

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.644173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be74d4e0-61ba-4812-819a-984aa67bea70 · outbound

This paper cites an unresolved cited work.

Rational minimax approximation of matrix-valued functions Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:54:05.596669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b7f8879a-0cb1-4b4c-9533-a8c68a53fdba · outbound

This paper cites Liang, R.-C.

Rational minimax approximation of matrix-valued functions Liang, R.-C

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:05.366922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 74ec13d7-99ba-4df3-a8a7-a78e0b4733e9 · outbound

This paper cites Lietaert, K.

Rational minimax approximation of matrix-valued functions Lietaert, K

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.656585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0025734-f12b-446e-9747-ac9fb9fb1fb9 · outbound

This paper cites an unresolved cited work.

Rational minimax approximation of matrix-valued functions Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:54:05.189461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e1fb7751-9246-4dc3-8fa8-acde797ec73e · outbound

This paper cites Nakatsukasa, O.

Rational minimax approximation of matrix-valued functions Nakatsukasa, O

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.664701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f55c13e-571e-47f3-8382-98850e796c30 · outbound

This paper cites Nakatsukasa and L.

Rational minimax approximation of matrix-valued functions Nakatsukasa and L

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.668555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 097fa2ad-71d6-4a88-9043-88dd73f238a0 · outbound

This paper cites Nocedal and S.

Rational minimax approximation of matrix-valued functions Nocedal and S

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.672360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ef36270-5fc4-41c4-b0c3-caf64231b24a · outbound

This paper cites an unresolved cited work.

Rational minimax approximation of matrix-valued functions Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:54:05.111568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9a39cb24-4676-466f-a570-c3758365bfe0 · outbound

This paper cites Ruttan, A characterization of best complex rational appro ximants in a fundamental case, Constr.

Rational minimax approximation of matrix-valued functions Ruttan, A characterization of best complex rational appro ximants in a fundamental case, Constr

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.680150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b23ff6d2-96f9-4e6c-a705-58ce3d633b66 · outbound

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

Rational minimax approximation of matrix-valued functions A rational approximation method for the nonlinear eigenvalue problem

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.684075Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9d13924-a65f-4f63-9252-fc786a866956 · outbound

This paper cites an unresolved cited work.

Rational minimax approximation of matrix-valued functions Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.688395Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7d87c45-bf21-4eaa-9d4d-046a242e644b · outbound

This paper cites Thiran and M.-P.

Rational minimax approximation of matrix-valued functions Thiran and M.-P

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.692294Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6efd117-1eeb-4f3d-9c9a-13304a6d3e57 · outbound

This paper cites Traina, Cauchy Method Modeling: Applied to Computer-Aided Tuning o f Microwave Filters and Duplexers , VDM Verlag Dr.

Rational minimax approximation of matrix-valued functions Traina, Cauchy Method Modeling: Applied to Computer-Aided Tuning o f Microwave Filters and Duplexers , VDM Verlag Dr

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:05.035189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bfd3f538-9f93-4045-bdad-fd2f64a44c78 · outbound

This paper cites Traina, G.

Rational minimax approximation of matrix-valued functions Traina, G

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:04.994230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 10b9b5be-f9f2-45de-a0f6-e6dd894c68dc · outbound

This paper cites an unresolved cited work.

Rational minimax approximation of matrix-valued functions Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.705107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ddd41021-7a78-4eb4-b74e-d86da6957d2a · outbound

This paper cites Williams, Numerical Chebyshev approximation in the complex plan e, SIAM J.

Rational minimax approximation of matrix-valued functions Williams, Numerical Chebyshev approximation in the complex plan e, SIAM J

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.708862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0c72347-037b-43fa-9b69-d4d670617dee · outbound

This paper cites Williams, Characterization and computation of rational Cheby shev approximations in the complex plane, SIAM J.

Rational minimax approximation of matrix-valued functions Williams, Characterization and computation of rational Cheby shev approximations in the complex plane, SIAM J

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.712808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 52ba01de-219d-4aea-ad92-39f3bde391ed · outbound

This paper cites an unresolved cited work.

Rational minimax approximation of matrix-valued functions Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.716834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d4fdcc5-e803-4230-a7bf-cdd63e859917 · outbound

This paper cites Yang, L.-H.

Rational minimax approximation of matrix-valued functions Yang, L.-H

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:04.915021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8b411c83-95a2-4bb5-9d57-ccd30ffceb4a · outbound

This paper cites A convergence analysis of Lawson's iteration for computing polynomial and rational minimax approximations.

Rational minimax approximation of matrix-valued functions A convergence analysis of Lawson's iteration for computing polynomial and rational minimax approximations

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.724427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b6051c6-4adb-4f8e-8015-257ba8e5ba50 · outbound

This paper cites Zhang, Y.

Rational minimax approximation of matrix-valued functions Zhang, Y

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:04.896448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 139e953b-236e-497f-94a7-1c7754298015 · outbound

This paper cites Zhang, L.

Rational minimax approximation of matrix-valued functions Zhang, L

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.733417Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8b45b7e-88d5-41b5-b93c-4f205c628742 · outbound

This paper cites Zhang, Y.-N.

Rational minimax approximation of matrix-valued functions Zhang, Y.-N

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:04.737483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 5f79a4a7-b9c6-40cd-9a1d-9f55920721b0 · inbound

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms cites this paper.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Rational minimax approximation of matrix-valued functions

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:27.537415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.