Paper Citation Record · LEDGER

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms

As of 8 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2607.22576.

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

pith.paper-citation-record.v1
2607.22576 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

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

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

40 of 40 outbound references displayed

verified exact2
verified fuzzy0
unresolved38
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 65a83d72-61ae-4919-9ad1-4e10389f8ecd · outbound

This paper cites an unresolved cited work.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:22.115405Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 45f8533d-5cc8-4037-a855-e66f9b930326 · outbound

This paper cites Berljafa and S.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Berljafa and S

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:22.212725Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b51f1d63-1f45-4aa1-a4fc-e02e33964f87 · outbound

This paper cites an unresolved cited work.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:22.393435Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a9312e9-1dea-4cae-9693-331290ad6623 · outbound

This paper cites an unresolved cited work.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:22.588306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af7e9d4e-4f05-4a0c-b69f-4ec258cfcdb6 · outbound

This paper cites Deschrijver, M.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Deschrijver, M

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:22.692226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67d4c8b8-7fa0-4b22-be8a-4e89bb7a2f77 · outbound

This paper cites an unresolved cited work.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:22.863804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb63d51d-14b3-480c-82c2-c20912daafb5 · outbound

This paper cites an unresolved cited work.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:22.963593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f00e1f9-016a-49af-b079-34b6a8f173a6 · outbound

This paper cites Gustavsen, Improving the pole relocating properties of vect or ﬁtting, IEEE Trans.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Gustavsen, Improving the pole relocating properties of vect or ﬁtting, IEEE Trans

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:23.121794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c96c6fb8-b6d8-4d2d-82bf-d14655c1cfae · outbound

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

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Gustavsen, Matrix Fitting Toolbox, 2009, Https://www.sintef .no/en/software/vector- ﬁtting/downloads/matrix-ﬁtting-toolbox/

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:23.262300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e9c239b-f1f3-4668-821d-186e1342c4fd · outbound

This paper cites Gustavsen and A.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Gustavsen and A

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:23.394842Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9cef30f-353b-4201-a1b6-276982905d8b · outbound

This paper cites an unresolved cited work.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:23.604803Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab6c4b3a-a6ae-449a-9c57-5cc27314df11 · outbound

This paper cites G¨ uttel and F.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms G¨ uttel and F

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:23.809442Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 140fd614-dcd0-494a-94cc-f339469cbaa6 · outbound

This paper cites G¨ uttel, G.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms G¨ uttel, G

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:23.910718Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6c346ef-d288-457c-88af-a7b007af3344 · outbound

This paper cites an unresolved cited work.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:24.036795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf5226b8-2368-4c55-89e9-e14174cc7bdf · outbound

This paper cites Lietaert, K.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Lietaert, K

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:24.175358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ca53ada-c82b-48c6-957f-a087126a01b8 · outbound

This paper cites Meinardus, Approximation of Functions: Theory and Numerical Methods.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Meinardus, Approximation of Functions: Theory and Numerical Methods

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:24.389295Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d619a247-61aa-4c49-90b9-dbe22df85d23 · outbound

This paper cites The first five years of the AAA algorithm.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms The first five years of the AAA algorithm

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:24.587820Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e41dafd3-27d7-4db4-baf7-207b21b8e184 · outbound

This paper cites Applications of AAA rational approximation.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Applications of AAA rational approximation

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:24.754837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 896c43f2-019d-4da3-9d8f-6469fcc59db6 · outbound

This paper cites an unresolved cited work.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:24.859390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5bf2f2d9-3a28-4e5f-8e68-12eac9c3e76b · outbound

This paper cites an unresolved cited work.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:24.975345Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbf3aa38-717c-4d4e-94bc-5f771642d319 · outbound

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

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Ruttan, A characterization of best complex rational appro ximants in a fundamental case, Constr

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:25.158645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4d1d2c45-4de7-4502-9332-4f96f5bac67e · outbound

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

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms A rational approximation method for the nonlinear eigenvalue problem

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:25.292043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ec5f3e3-efb8-4b31-a7a4-cbc1df170035 · outbound

This paper cites an unresolved cited work.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:25.441030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54b77ccb-1dfa-4d8b-95f4-df0d3e91ef49 · outbound

This paper cites Singer, Best approximation in normed linear spaces by elements of li near subspaces, Springer- Verlag, Berlin-Heidelberg-New York, 1970.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Singer, Best approximation in normed linear spaces by elements of li near subspaces, Springer- Verlag, Berlin-Heidelberg-New York, 1970

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:25.623277Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6037ad7a-34c4-4b50-b42c-512e133eb98e · outbound

This paper cites Singer, Duality for Nonconvex Approximation and Optimization , Springer-Verlag, New York, NY, 2006, URL https://doi.org/10.1007/0-387-28395-1.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Singer, Duality for Nonconvex Approximation and Optimization , Springer-Verlag, New York, NY, 2006, URL https://doi.org/10.1007/0-387-28395-1

Reference 25

Resolution: verified exact; doi, observed 2026-08-02T12:18:31.525664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9b057f94-2513-47a0-afc3-4489436f392d · outbound

This paper cites Thiran and M.-P.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Thiran and M.-P

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:25.883024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f93a0e3e-9636-4cb2-8665-54da09da4ce9 · outbound

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

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Traina, Cauchy Method Modeling: Applied to Computer-Aided Tuning o f Microwave Filters and Duplexers , VDM Verlag Dr

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:26.039161Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37cfc760-40fb-41cc-a958-88b8fbba3a81 · outbound

This paper cites Traina, G.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Traina, G

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:26.194791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79e7f548-4190-4045-9fcc-7456d170cd3c · outbound

This paper cites an unresolved cited work.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:26.285902Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fdb18a24-0073-4f31-9724-0cf82cc384ab · outbound

This paper cites an unresolved cited work.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:26.377987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00e93b17-ad36-4d28-a9c3-3518c0c19174 · outbound

This paper cites an unresolved cited work.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:26.493724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6e9a64c-ad2c-4a05-b56b-ce2bcd4f45d4 · outbound

This paper cites an unresolved cited work.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:26.628682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69298047-ed93-476b-8dba-11545acccc1d · outbound

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

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Williams, Characterization and computation of rational Cheby shev approximations in the complex plane, SIAM J

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:26.759344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d87a2543-d16d-4a11-8a72-9d56effd552b · outbound

This paper cites Zhang, J.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Zhang, J

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:26.884945Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 207b821b-5235-4968-8f0e-252bee35d989 · outbound

This paper cites Zhang and S.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Zhang and S

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:26.986939Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8754cf44-0bb0-4f55-8b2d-f15fe7434049 · outbound

This paper cites Zhang, L.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Zhang, L

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:27.081161Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58d46414-8cd2-4244-9b32-6b93da34ab3e · outbound

This paper cites Zhang, Optimality conditions for rational minimax approxima tions: Bridging Ruttan’s criteria to dual-based methods, 2026, URL https://arxiv.org/abs/2602.07862v1.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Zhang, Optimality conditions for rational minimax approxima tions: Bridging Ruttan’s criteria to dual-based methods, 2026, URL https://arxiv.org/abs/2602.07862v1

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:27.192487Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6f57a97-4543-42f5-a829-1ea696912924 · outbound

This paper cites Interpolation constrained rational minimax approximation with barycentric representation.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Interpolation constrained rational minimax approximation with barycentric representation

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-02T12:18:27.302406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b53f67cc-96ad-4ec1-ba92-a82e972574f6 · outbound

This paper cites Zhang, Y.-N.

Rational Minimax Approximations for Matrix-Valued Functions: Existence, Optimality and Algorithms Zhang, Y.-N

Reference 39

Resolution: verified exact; doi, observed 2026-08-02T12:23:26.683607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

This paper cites Rational minimax approximation of matrix-valued functions.

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.

Pith citing papers

No inbound Pith citation observations are available.