Paper Citation Record · LEDGER

Compression Properties for large Toeplitz-like matrices

As of 15 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 0 inbound Pith citation observations for arXiv:2502.09823.

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

pith.paper-citation-record.v1
2502.09823 v2

Coverage vector

measured 55 of 55 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T20:37:52.416650Z

measured 55 of 55 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

55 of 55 outbound references displayed

verified exact0
verified fuzzy37
unresolved18
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8578aa87-21dd-4760-9fc6-226b110fe3e6 · outbound

This paper cites an unresolved cited work.

Compression Properties for large Toeplitz-like matrices Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:37:52.939850Z

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Observation 019620be-476e-4595-8010-b6c6a1450060 · outbound

This paper cites The Inverse Fast Multipole Method.

Compression Properties for large Toeplitz-like matrices The Inverse Fast Multipole Method

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T20:37:52.252058Z

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Observation 1ae2c1f1-cd98-4008-b682-ad22ca278d3d · outbound

This paper cites an unresolved cited work.

Compression Properties for large Toeplitz-like matrices Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:37:52.930752Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation cad1573b-da72-40e3-8489-3c872b1d2ad7 · outbound

This paper cites Ballani and D.

Compression Properties for large Toeplitz-like matrices Ballani and D

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.921137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 99cb8879-6d47-40bb-860d-a236a2b3213d · outbound

This paper cites Bebendorf, Hierarchical matrices, Springer, 2008.

Compression Properties for large Toeplitz-like matrices Bebendorf, Hierarchical matrices, Springer, 2008

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.910958Z

Source-reported events for the cited work

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Observation bcf08385-64ec-4b3c-bffd-d31617711f9b · outbound

This paper cites Beckermann and A.

Compression Properties for large Toeplitz-like matrices Beckermann and A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.900828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5744ef49-ea68-416d-8803-8804f03bf30f · outbound

This paper cites Benner, R.-C.

Compression Properties for large Toeplitz-like matrices Benner, R.-C

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.891454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8c0bf9ec-703e-4beb-9d72-996d30d52923 · outbound

This paper cites B¨orm, Efficient numerical methods for non-local operators , vol.

Compression Properties for large Toeplitz-like matrices B¨orm, Efficient numerical methods for non-local operators , vol

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.882077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 63551b2d-40e4-4cce-82ef-5aed17f10897 · outbound

This paper cites Braess and W.

Compression Properties for large Toeplitz-like matrices Braess and W

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.871760Z

Source-reported events for the cited work

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Observation 85f3d4f4-57ea-4706-b092-77bb6f47ff56 · outbound

This paper cites an unresolved cited work.

Compression Properties for large Toeplitz-like matrices Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:37:52.861865Z

Source-reported events for the cited work

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Observation 4e1b81da-6d1e-413f-9a0d-f93004909525 · outbound

This paper cites an unresolved cited work.

Compression Properties for large Toeplitz-like matrices Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T20:37:52.281375Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b90f9247-bba9-48c2-bb53-98067e669238 · outbound

This paper cites Chandrasekaran, M.

Compression Properties for large Toeplitz-like matrices Chandrasekaran, M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.847595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5b848f89-81ba-45ea-9667-23470c0c3a12 · outbound

This paper cites Chandrasekaran, M.

Compression Properties for large Toeplitz-like matrices Chandrasekaran, M

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.839245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0ebb5d83-84aa-4964-af3e-b371afcb5afd · outbound

This paper cites Cheng, Z.

Compression Properties for large Toeplitz-like matrices Cheng, Z

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.830870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e0f0a572-d7ef-4302-8430-453443685ad6 · outbound

This paper cites Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation.

Compression Properties for large Toeplitz-like matrices Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T20:37:52.293058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4b10a14-784b-41ae-98f1-6511cba1eb86 · outbound

This paper cites an unresolved cited work.

Compression Properties for large Toeplitz-like matrices Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:37:52.821712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7d029eef-eb49-45e7-98c0-1783d74dcd13 · outbound

This paper cites Druskin, L.

Compression Properties for large Toeplitz-like matrices Druskin, L

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.812487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6e339051-e4d6-4d64-9e3a-e7d39866251d · outbound

This paper cites Dutt and V.

Compression Properties for large Toeplitz-like matrices Dutt and V

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.803676Z

Source-reported events for the cited work

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Observation 498c1d1a-e235-4a8a-a350-1b26dc4e04a6 · outbound

This paper cites Fortunato and A.

Compression Properties for large Toeplitz-like matrices Fortunato and A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.794915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6a9010e1-a0c4-4d0e-b7b1-881efb785383 · outbound

This paper cites Gohberg, T.

Compression Properties for large Toeplitz-like matrices Gohberg, T

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.785802Z

Source-reported events for the cited work

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Observation a27b567a-da11-4ec4-95c1-a2958a541038 · outbound

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Compression Properties for large Toeplitz-like matrices Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:37:52.776370Z

Source-reported events for the cited work

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Observation c2fe6764-e9af-49d6-a11a-40beeeb826d3 · outbound

This paper cites Grasedyck, Existence of a low rank or H-matrix approximant to the solution of a Sylvester equation, Numer.

Compression Properties for large Toeplitz-like matrices Grasedyck, Existence of a low rank or H-matrix approximant to the solution of a Sylvester equation, Numer

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.767481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation cbf15c6c-37dc-4b7b-8a2d-47695915eadc · outbound

This paper cites an unresolved cited work.

Compression Properties for large Toeplitz-like matrices Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:37:52.758053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 54ea9d35-c62d-46ff-91ef-5e40c0760854 · outbound

This paper cites Grenander and G.

Compression Properties for large Toeplitz-like matrices Grenander and G

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.748618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e34fae21-7594-493d-8de3-7bc47acd5edd · outbound

This paper cites Gu and S.

Compression Properties for large Toeplitz-like matrices Gu and S

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.739884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f0c312b2-088d-4649-8bb2-171a21aaad94 · outbound

This paper cites Hackbusch, Hierarchical matrices: algorithms and analysis , vol.

Compression Properties for large Toeplitz-like matrices Hackbusch, Hierarchical matrices: algorithms and analysis , vol

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.730690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 17f341a6-00bb-4c53-9b74-7923ea26ffcd · outbound

This paper cites Hackbusch, B.

Compression Properties for large Toeplitz-like matrices Hackbusch, B

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.721274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 094069c5-fe3b-434a-800c-07dd4989f569 · outbound

This paper cites Halko, P.-G.

Compression Properties for large Toeplitz-like matrices Halko, P.-G

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.712521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d6fcd9d4-ae01-4863-a986-158e25122c8f · outbound

This paper cites Heinig and K.

Compression Properties for large Toeplitz-like matrices Heinig and K

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.702921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 57683476-6f5b-434b-933a-7c3ae3875e20 · outbound

This paper cites Huckle, Superfast solution of linear equations with low displacement rank , in High perfor- mance algorithms for structured matrix problems, vol.

Compression Properties for large Toeplitz-like matrices Huckle, Superfast solution of linear equations with low displacement rank , in High perfor- mance algorithms for structured matrix problems, vol

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.694113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fce2f1c3-7039-44dd-896a-90920bc041bd · outbound

This paper cites Kailath and A.

Compression Properties for large Toeplitz-like matrices Kailath and A

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.685120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ed92cd5b-efbb-44f8-9ff1-480f4529457f · outbound

This paper cites Kressner, S.

Compression Properties for large Toeplitz-like matrices Kressner, S

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.676141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f24f177c-de04-4794-926f-908c30d9f31b · outbound

This paper cites Lebedev, On a Zolotarev problem in the method of alternating directions , USSR Comput.

Compression Properties for large Toeplitz-like matrices Lebedev, On a Zolotarev problem in the method of alternating directions , USSR Comput

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.667163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f8d8c13f-4b4c-42f9-bb2b-615cec662976 · outbound

This paper cites Lepilov and J.

Compression Properties for large Toeplitz-like matrices Lepilov and J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.658115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 75883b9f-012f-4085-b45c-e18e8cb2b4c1 · outbound

This paper cites Li and J.

Compression Properties for large Toeplitz-like matrices Li and J

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.648484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a3696040-40ac-4720-b8d4-bc24933bd3ca · outbound

This paper cites Lu and E.

Compression Properties for large Toeplitz-like matrices Lu and E

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.639041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 158ae97c-3a1c-40e7-9da2-e7ff13e59d93 · outbound

This paper cites Martinsson, A fast randomized algorithm for computing a hierarchically semiseparable representation of a matrix , SIAM J.

Compression Properties for large Toeplitz-like matrices Martinsson, A fast randomized algorithm for computing a hierarchically semiseparable representation of a matrix , SIAM J

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.629691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 91da76f3-b898-4ed1-991a-8f0187d25994 · outbound

This paper cites Martinsson, V.

Compression Properties for large Toeplitz-like matrices Martinsson, V

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.620026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 13916278-30a0-4933-bef0-eaf693587d6e · outbound

This paper cites Massei, L.

Compression Properties for large Toeplitz-like matrices Massei, L

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.610692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5a0c651a-e59c-46ba-baa9-f784d36b61c3 · outbound

This paper cites Minden, K.

Compression Properties for large Toeplitz-like matrices Minden, K

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.601483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8e1df148-0592-46a6-95ea-a9c7319ea579 · outbound

This paper cites an unresolved cited work.

Compression Properties for large Toeplitz-like matrices Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:37:52.592693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f6aafd40-f850-4697-b5c6-ed0b650236a0 · outbound

This paper cites an unresolved cited work.

Compression Properties for large Toeplitz-like matrices Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:37:52.584045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8bf76b4e-f0d8-4e32-9248-99a09cba3c0d · outbound

This paper cites Close to optimal column approximations with a single SVD.

Compression Properties for large Toeplitz-like matrices Close to optimal column approximations with a single SVD

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-07T20:37:52.379747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d5189f4-38e8-4f69-bc1f-04b4cf168358 · outbound

This paper cites Ou and J.

Compression Properties for large Toeplitz-like matrices Ou and J

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.574958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8c97a99e-dfdf-4904-abf2-0aec00ef5f2e · outbound

This paper cites an unresolved cited work.

Compression Properties for large Toeplitz-like matrices Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:37:52.566432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3d7018ec-6f40-4757-b0a3-64d62979167b · outbound

This paper cites an unresolved cited work.

Compression Properties for large Toeplitz-like matrices Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:37:52.557334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 431685b1-5029-412d-93fe-35a96f22ec80 · outbound

This paper cites Penzl, Eigenvalue decay bounds for solutions of Lyapunov equations: the symmetric case , Systems Control Lett., 40 (2000), pp.

Compression Properties for large Toeplitz-like matrices Penzl, Eigenvalue decay bounds for solutions of Lyapunov equations: the symmetric case , Systems Control Lett., 40 (2000), pp

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.548199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 783f76e8-2796-4423-a45b-a769e4c92d8f · outbound

This paper cites Rubin, A.

Compression Properties for large Toeplitz-like matrices Rubin, A

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.538264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7434cbd7-fde0-4b44-87ec-377dbdaf24be · outbound

This paper cites Sabino, Solution of large-scale Lyapunov equations via the block modified Smith method , PhD thesis, Rice University, 2007.

Compression Properties for large Toeplitz-like matrices Sabino, Solution of large-scale Lyapunov equations via the block modified Smith method , PhD thesis, Rice University, 2007

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.528938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bc3f7bd3-ae5c-49bc-898c-3527b2d4932f · outbound

This paper cites Townsend and H.

Compression Properties for large Toeplitz-like matrices Townsend and H

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.519311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 007f6aa3-4c43-4d77-8d21-dbe598ba72da · outbound

This paper cites Tyrtyshnikov, Mosaic-skeleton approximations, Calcolo, 33 (1996), pp.

Compression Properties for large Toeplitz-like matrices Tyrtyshnikov, Mosaic-skeleton approximations, Calcolo, 33 (1996), pp

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:37:52.509165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 057d0c1b-e684-4b46-a94d-b878c15fe70b · outbound

This paper cites an unresolved cited work.

Compression Properties for large Toeplitz-like matrices Unresolved cited work

Reference 52

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:37:52.499018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2bacaf32-0704-48eb-b217-3751942e30b7 · outbound

This paper cites an unresolved cited work.

Compression Properties for large Toeplitz-like matrices Unresolved cited work

Reference 53

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:37:52.489842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0276257c-28fc-4510-bbb2-d5421e61aa14 · outbound

This paper cites an unresolved cited work.

Compression Properties for large Toeplitz-like matrices Unresolved cited work

Reference 54

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:37:52.480494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0983c69b-6b6d-4275-9fc9-b53dc42a0d5f · outbound

This paper cites an unresolved cited work.

Compression Properties for large Toeplitz-like matrices Unresolved cited work

Reference 55

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