Paper Citation Record · LEDGER

Block subspace expansions for eigenvalues and eigenvectors approximation

As of 13 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2411.14578.

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pith.paper-citation-record.v1
2411.14578 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:16:21.071942Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

28 of 28 outbound references displayed

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verified fuzzy22
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External citation measurements

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Outbound references

Observation c340b6ab-fd83-414c-96c0-379a49441ee0 · outbound

This paper cites Bhatia, Matrix analysis.

Block subspace expansions for eigenvalues and eigenvectors approximation Bhatia, Matrix analysis

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.352451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f1279b3a-f8f5-43bd-9240-75670832afbc · outbound

This paper cites Drineas, I.F.

Block subspace expansions for eigenvalues and eigenvectors approximation Drineas, I.F

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.344017Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 28a4c390-1329-435e-bfcf-1a6392c3b19b · outbound

This paper cites Gu, Subspace Iteration Randomization and Singular Value Problems.

Block subspace expansions for eigenvalues and eigenvectors approximation Gu, Subspace Iteration Randomization and Singular Value Problems

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-12T15:16:20.991211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f886bdbf-cebb-4c0a-8253-2f5a19624831 · outbound

This paper cites Hochstenbach, A Jacobi-Davidson type SVD method.

Block subspace expansions for eigenvalues and eigenvectors approximation Hochstenbach, A Jacobi-Davidson type SVD method

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.334238Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 39785d56-a8de-41bc-beed-082d5855781d · outbound

This paper cites Jia, The convergence of generalized Lanczos methods for large unsymmetric eigenproblems, SIAM Journal on Matrix Analysis and Applications 16 (1995), 843–862.

Block subspace expansions for eigenvalues and eigenvectors approximation Jia, The convergence of generalized Lanczos methods for large unsymmetric eigenproblems, SIAM Journal on Matrix Analysis and Applications 16 (1995), 843–862

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.324726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4f0f2745-cc50-467f-a034-f6a12e270bd1 · outbound

This paper cites Jia, Refined iterative algorithms based on Arnoldi’s process for unsymmetric eigenproblems, Linear Algebra Appl., 259 (1997), pp.

Block subspace expansions for eigenvalues and eigenvectors approximation Jia, Refined iterative algorithms based on Arnoldi’s process for unsymmetric eigenproblems, Linear Algebra Appl., 259 (1997), pp

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.316007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2c1113e9-921a-4d92-adcf-f795a7a79989 · outbound

This paper cites Jia, Generalized block Lanczos methods for large unsymmetric eigenproblems, Numerische Mathematik 80 (1998), 171–189.

Block subspace expansions for eigenvalues and eigenvectors approximation Jia, Generalized block Lanczos methods for large unsymmetric eigenproblems, Numerische Mathematik 80 (1998), 171–189

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.307272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2dbd3c2e-624f-410e-98d0-683bb6cf8ce6 · outbound

This paper cites Jia, Some theoretical comparisons of refined Ritz vectors and Ritz vectors, Science in China Ser.

Block subspace expansions for eigenvalues and eigenvectors approximation Jia, Some theoretical comparisons of refined Ritz vectors and Ritz vectors, Science in China Ser

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.298239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8b5ea4cb-3d27-4db4-8197-b08326decdd4 · outbound

This paper cites Jia, The convergence of harmonic Ritz values, harmonic Ritz vectors and refined harmonic Ritz vectors, Math.

Block subspace expansions for eigenvalues and eigenvectors approximation Jia, The convergence of harmonic Ritz values, harmonic Ritz vectors and refined harmonic Ritz vectors, Math

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.288185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0067a565-9a6c-4c47-98a0-8c8d1cae228d · outbound

This paper cites Jia, Theoretical and computable optimal subspace expansions for matrix eigenvalue problems.

Block subspace expansions for eigenvalues and eigenvectors approximation Jia, Theoretical and computable optimal subspace expansions for matrix eigenvalue problems

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.278990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ebd8348a-d884-442f-99a2-2206c2992ef4 · outbound

This paper cites Jia and C.

Block subspace expansions for eigenvalues and eigenvectors approximation Jia and C

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.270167Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cf3b822c-1502-4f3f-afcd-edc6ff46a690 · outbound

This paper cites Jia and C.

Block subspace expansions for eigenvalues and eigenvectors approximation Jia and C

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.261781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9e6b2583-30cc-4ff7-855d-b20cc0da1fdd · outbound

This paper cites Jia, G.W.

Block subspace expansions for eigenvalues and eigenvectors approximation Jia, G.W

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.252697Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f3c5f624-7612-4978-a505-e5364a8d19e6 · outbound

This paper cites Lee, Residual Arnoldi method: theory, package and experiments, Ph.

Block subspace expansions for eigenvalues and eigenvectors approximation Lee, Residual Arnoldi method: theory, package and experiments, Ph

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.244774Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c5e96ca9-5e0e-4b6f-bea5-571b901858c5 · outbound

This paper cites Lee and G.

Block subspace expansions for eigenvalues and eigenvectors approximation Lee and G

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.236447Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 40749c16-89e1-4a1b-b642-f43e53007d40 · outbound

This paper cites an unresolved cited work.

Block subspace expansions for eigenvalues and eigenvectors approximation Unresolved cited work

Reference 16

Resolution: verified exact; doi, observed 2026-08-12T15:16:21.098127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 290cf837-2758-4e7e-9bff-02b71f58ef3c · outbound

This paper cites an unresolved cited work.

Block subspace expansions for eigenvalues and eigenvectors approximation Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:16:21.227444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a3a6f6be-145d-4712-8e9e-3234197330c5 · outbound

This paper cites Randomized Block Krylov Methods for Stronger and Faster Approximate Singular Value Decomposition.

Block subspace expansions for eigenvalues and eigenvectors approximation Randomized Block Krylov Methods for Stronger and Faster Approximate Singular Value Decomposition

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-12T15:16:21.135020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 805f1d26-b223-4fb0-8577-d164570c5b13 · outbound

This paper cites Saad, Numerical Methods for Large Eigenvalue Problems, Revised Version, SIAM, Philadephia, PA, 2011.

Block subspace expansions for eigenvalues and eigenvectors approximation Saad, Numerical Methods for Large Eigenvalue Problems, Revised Version, SIAM, Philadephia, PA, 2011

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.219132Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 82750ca8-d43a-4c2a-953d-8fdc82f81503 · outbound

This paper cites 40, n.o 1, January 2019, pp.

Block subspace expansions for eigenvalues and eigenvectors approximation 40, n.o 1, January 2019, pp

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.210438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b3b8ceb0-55d9-4c84-96e4-7de44d991a27 · outbound

This paper cites G.; Van der Vorst, Henk A.

Block subspace expansions for eigenvalues and eigenvectors approximation G.; Van der Vorst, Henk A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.201413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 343f3a75-ee61-4aed-ba8a-b61731f1cc2e · outbound

This paper cites G.; Van der Vorst, Henk A.

Block subspace expansions for eigenvalues and eigenvectors approximation G.; Van der Vorst, Henk A

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.192942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ddffa57f-0a3d-4d53-b3e7-329371d3defc · outbound

This paper cites an unresolved cited work.

Block subspace expansions for eigenvalues and eigenvectors approximation Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:16:21.184269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a789e098-d981-4842-98f3-8a2ca260399c · outbound

This paper cites Van der Vorst, Computational Methods for Large Eigenvalue Problems, Elsevier, North Hollands, 2002.

Block subspace expansions for eigenvalues and eigenvectors approximation Van der Vorst, Computational Methods for Large Eigenvalue Problems, Elsevier, North Hollands, 2002

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.174587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a5531e19-1ea2-4b17-9d18-1fd38589facd · outbound

This paper cites Improved Analyses of the Randomized Power Method and Block Lanczos Method.

Block subspace expansions for eigenvalues and eigenvectors approximation Improved Analyses of the Randomized Power Method and Block Lanczos Method

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-12T15:16:21.120831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8d2db6e4-8a76-4059-9ace-8a7ec51a7171 · outbound

This paper cites Wu and L.

Block subspace expansions for eigenvalues and eigenvectors approximation Wu and L

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.164596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 30498209-792b-444f-bb46-35f8447a38dc · outbound

This paper cites Ye, Optimal expansion of subspaces for eigenvector approximations.

Block subspace expansions for eigenvalues and eigenvectors approximation Ye, Optimal expansion of subspaces for eigenvector approximations

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.155593Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 16896d74-c3dd-44c5-8423-ac24d75bb011 · outbound

This paper cites Zhu, A.V.

Block subspace expansions for eigenvalues and eigenvectors approximation Zhu, A.V

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:16:21.145977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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