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Paper Citation Record · LEDGER

A new randomized CholeskyQR based on LU decomposition with partial pivoting

As of 12 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2412.06551.

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

pith.paper-citation-record.v1
2412.06551 v5

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T19:42:19.254691Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

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

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T23:04:51.714014Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

34 of 34 outbound references displayed

  • verified exact2
  • verified fuzzy23
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7a3c2ebb-6bdd-48b4-ab9f-d449e6127ac4 · outbound

This paper cites an unresolved cited work.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Unresolved cited work

Reference 1

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raw_fallback, observed 2026-08-11T19:42:19.884211Z

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.

source=pdf_text observed=2026-08-11T19:42:19.116853Z digest=sha256:1b31e784df2621cc58d966199bbd8d822dc3210a11bf2ae7ef122a5ba9481beb

Observation be69089c-612e-4955-9af3-314d5684c101 · outbound

This paper cites Ali and V.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Ali and V

Reference 2

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raw_fallback, observed 2026-08-11T19:42:19.870492Z

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.

source=pdf_text observed=2026-08-11T19:42:19.121667Z digest=sha256:c4724aaaa1d54ac5116de73e5b40114a3d9072b8e8e0ed7dea6323a6e5d490e2

Observation 16813b13-e034-4f79-9991-205f79c44375 · outbound

This paper cites Randomized Cholesky QR factorizations.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Randomized Cholesky QR factorizations

Reference 3

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no resolver link, observed 2026-08-11T19:42:19.127206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:42:19.127206Z digest=sha256:9a56bee68e14ad9e01528e7b31bba67dea5d979d68c662a7cbf4f8915242f00d

Observation 3261b114-b7fa-4933-9b30-2792031598eb · outbound

This paper cites Balabanov and L.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Balabanov and L

Reference 4

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raw_fallback, observed 2026-08-11T19:42:19.858736Z

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.

source=pdf_text observed=2026-08-11T19:42:19.131966Z digest=sha256:6c86341612a454228023ec0a4c66c274da4ccfc14685091055e5359de3b58b76

Observation 8c875d13-39f9-4a2a-80cc-4554f124e9d6 · outbound

This paper cites Borobia, Constructing matrices with prescribed main-diagonal submatrix and characteristic polynomial, Linear Algebra and its Applications, 418 (2006), pp.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Borobia, Constructing matrices with prescribed main-diagonal submatrix and characteristic polynomial, Linear Algebra and its Applications, 418 (2006), pp

Reference 5

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raw_fallback, observed 2026-08-11T19:42:19.847315Z

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.

source=pdf_text observed=2026-08-11T19:42:19.136803Z digest=sha256:8f07252c218fb11f01ef59039f4f7da060781e0e5beb7fe965806f11f24829cc

Observation 3309399c-776a-402b-97c8-4b4a07c73863 · outbound

This paper cites Charikar, K.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Charikar, K

Reference 6

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raw_fallback, observed 2026-08-11T19:42:19.834246Z

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.

source=pdf_text observed=2026-08-11T19:42:19.140993Z digest=sha256:12b256ca232ecdb873c5192cf8bd1390af919ebce9df2c665dfd64c0de3b8a2d

Observation 9f737d42-b5a9-4bda-9e9a-975ed537a1f7 · outbound

This paper cites an unresolved cited work.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Unresolved cited work

Reference 7

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raw_fallback, observed 2026-08-11T19:42:19.822348Z

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.

source=pdf_text observed=2026-08-11T19:42:19.146041Z digest=sha256:0e7dcff790d2bbada1b70c28edda5868b27fbb34e9299972465cf532c6c2b247

Observation b4be2e38-2c4c-4e0a-adb8-212e19658c14 · outbound

This paper cites A Novel Randomized XR-Based Preconditioned CholeskyQR Algorithm.

A new randomized CholeskyQR based on LU decomposition with partial pivoting A Novel Randomized XR-Based Preconditioned CholeskyQR Algorithm

Reference 8

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no resolver link, observed 2026-08-11T19:42:19.149920Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:42:19.149920Z digest=sha256:2a0cdcd9f1d33f87e20a82b12fba9a50bff7a695a2e79e97b1a60914ede3a2a7

Observation f236fbab-b764-4847-9815-9b289afe9f1c · outbound

This paper cites Fukaya, R.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Fukaya, R

Reference 9

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raw_fallback, observed 2026-08-11T19:42:19.807969Z

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.

source=pdf_text observed=2026-08-11T19:42:19.154569Z digest=sha256:943444c5a34a546aeb4d5621d49c7a9860dfddcf51ffcbd3694015c57db7e560

Observation c30e8d93-c16b-4071-ac95-be7d4e8ab42e · outbound

This paper cites Fukaya, Y.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Fukaya, Y

Reference 10

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raw_fallback, observed 2026-08-11T19:42:19.794985Z

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.

source=pdf_text observed=2026-08-11T19:42:19.158231Z digest=sha256:a457ec80eb0bdbcb35135d06ee8d02862b402a54aa502dc1a93bd90dc98cc529

Observation c5596256-5ff5-44f3-9415-5756a1b53895 · outbound

This paper cites Gao and R.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Gao and R

Reference 11

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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.

source=pdf_text observed=2026-08-11T19:42:19.161879Z digest=sha256:524205bcf63cd01ed803b9cef5b247b15c1eb4b35c6e317eabe5de51d1b7f753

Observation 3adcafa3-bef9-4376-8c79-c7ae7723d5ec · outbound

This paper cites Golub and C.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Golub and C

Reference 12

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raw_fallback, observed 2026-08-11T19:42:19.771941Z

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.

source=pdf_text observed=2026-08-11T19:42:19.165812Z digest=sha256:1b3049f0841429aefb5ca13eeed1cebec72fa8abcbebfb66acbbff4027dd508c

Observation 3159fb5a-ef3a-4729-8507-8069d3130877 · outbound

This paper cites An improved error analysis of CholeskyQR with the randomized model.

A new randomized CholeskyQR based on LU decomposition with partial pivoting An improved error analysis of CholeskyQR with the randomized model

Reference 13

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local_arxiv, observed 2026-08-11T19:42:19.502563Z

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.

source=pdf_text observed=2026-08-11T19:42:19.170087Z digest=sha256:6036cd449aa443cb6556ef807a06e68fb49b93dfd7f66c930149039c80488afc

Observation 8776e333-b3b5-48d9-9e99-966b00a12cea · outbound

This paper cites Guan and Y.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Guan and Y

Reference 14

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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.

source=pdf_text observed=2026-08-11T19:42:19.173856Z digest=sha256:8f3c764ee234eeb1afa978b66c28a2476882c079ae237f2341699985ed54f110

Observation 87f6b3e2-4469-4352-bc39-837cfaa85fa5 · outbound

This paper cites Halko, P.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Halko, P

Reference 15

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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.

source=pdf_text observed=2026-08-11T19:42:19.178789Z digest=sha256:771b6b94a29d9c6ff019b3a1ce213641203f2ea77eaf3eee759cdafdf47d7cc6

Observation 33b8e39c-0d31-4156-a9d1-bc16c0dd14fc · outbound

This paper cites Higgins, D.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Higgins, D

Reference 16

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no resolver link, observed 2026-08-11T19:42:19.182212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:42:19.182212Z digest=sha256:2553c421003c4eb68670ee6e6cf2c39fa3ec54cd9962dedbbbd03f2abc5e85fc

Observation b4163678-5664-410a-8fb3-b5a6cd588585 · outbound

This paper cites Higham, Accuracy and Stability of Numerical Algorithms , SIAM, Philadelphia, PA, USA, second ed.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Higham, Accuracy and Stability of Numerical Algorithms , SIAM, Philadelphia, PA, USA, second ed

Reference 17

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raw_fallback, observed 2026-08-11T19:42:19.749787Z

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.

source=pdf_text observed=2026-08-11T19:42:19.185998Z digest=sha256:8c0e04d0df4eb0a75fd3d63a50c34044222680ad4be90f5574603b9f9512fb21

Observation 27c58f05-57f8-4206-b15e-9f8183062e01 · outbound

This paper cites Kapralov, V.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Kapralov, V

Reference 18

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raw_fallback, observed 2026-08-11T19:42:19.738257Z

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.

source=pdf_text observed=2026-08-11T19:42:19.189466Z digest=sha256:8cbb72bb8bf2dec0a192d699348dfef7f20eb308e1d63885b93544263d716314

Observation e6cb7b47-6b1c-485d-b3e4-f773a1e91c8c · outbound

This paper cites an unresolved cited work.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Unresolved cited work

Reference 19

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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.

source=pdf_text observed=2026-08-11T19:42:19.193156Z digest=sha256:ce25483fc01d4f80972b4feaae8d024473c248062941d4d359a35ff8ab03b239

Observation 8f97bbca-21d5-48e2-a760-0e9a0032b3be · outbound

This paper cites Martinsson and J.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Martinsson and J

Reference 20

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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.

source=pdf_text observed=2026-08-11T19:42:19.196431Z digest=sha256:3f04a9df847758f5bb3b8482c551e00ca5f4c23160e31dfe46e67768aa323977

Observation b957435b-0973-49be-8f9c-904b0ef4e1fc · outbound

This paper cites Meng and M.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Meng and M

Reference 21

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raw_fallback, observed 2026-08-11T19:42:19.700812Z

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.

source=pdf_text observed=2026-08-11T19:42:19.199955Z digest=sha256:7cb04ea116d8abbe85f4086b3cec98d9ef0ec03ba6468d42058da687bccf05c9

Observation db63b2bf-32c3-476c-aa01-c9736c992ade · outbound

This paper cites Nakatsukasa and J.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Nakatsukasa and J

Reference 22

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raw_fallback, observed 2026-08-11T19:42:19.689018Z

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.

source=pdf_text observed=2026-08-11T19:42:19.203203Z digest=sha256:63ec73f9a7d536fb7dfe4a27cc7d1a8e6fa0f07d31c7af78ebc7fb8109b42e74

Observation d8315d4b-1d86-4aa4-bed8-3f4634e2e955 · outbound

This paper cites an unresolved cited work.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Unresolved cited work

Reference 23

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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.

source=pdf_text observed=2026-08-11T19:42:19.206524Z digest=sha256:e7c6576b78f8596fb427d5d10c83d26748886fbdb6ff7cbbe2f5bda9a8b8e7c1

Observation d17e9a27-77de-43b6-b064-62ae72e0cdf1 · outbound

This paper cites Phillips and P.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Phillips and P

Reference 24

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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.

source=pdf_text observed=2026-08-11T19:42:19.210058Z digest=sha256:24aa1bb4e47ec91fd7e9e497f37ba60ab74fd9a5684fa4cb6550ce855ee2870a

Observation 2c839c51-2862-4ae2-8079-0845ead2e44c · outbound

This paper cites Sarlos, Improved Approximation Algorithms for Large Matrices via Random Projections , in 2006 47th Annual IEEE Symposium on Foundations of Computer Science (FOCS’06), 2006, pp.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Sarlos, Improved Approximation Algorithms for Large Matrices via Random Projections , in 2006 47th Annual IEEE Symposium on Foundations of Computer Science (FOCS’06), 2006, pp

Reference 25

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raw_fallback, observed 2026-08-11T19:42:19.650345Z

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.

source=pdf_text observed=2026-08-11T19:42:19.213690Z digest=sha256:62691cb8da7ef3ab8e6a831337956fdfd8439f67eaf931506d7259aba41d8949

Observation 13b8db1a-f58c-44b4-8d9b-c5901e6cd937 · outbound

This paper cites Schneider and D.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Schneider and D

Reference 26

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raw_fallback, observed 2026-08-11T19:42:19.638570Z

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.

source=pdf_text observed=2026-08-11T19:42:19.216873Z digest=sha256:4e15cbabf143dbed127d1d9ea9483cc0c4fa949f80d3b194b826f187217e49c2

Observation dfed5b51-b563-44e5-9343-70d467e8f628 · outbound

This paper cites Sobczyk and E.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Sobczyk and E

Reference 27

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raw_fallback, observed 2026-08-11T19:42:19.627885Z

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.

source=pdf_text observed=2026-08-11T19:42:19.220189Z digest=sha256:1b97d0e268493853200c46a5c111dc91ecfc0c246db2867262355ec75d46b957

Observation 36b99f4b-8db0-4d74-b842-08a81499625f · outbound

This paper cites Sobczyk and E.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Sobczyk and E

Reference 28

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raw_fallback, observed 2026-08-11T19:42:19.615659Z

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.

source=pdf_text observed=2026-08-11T19:42:19.224211Z digest=sha256:205c6d3dedf8b360baa8f28972605bfbc880c21e43ca40f9e58f7ad25d2b59b4

Observation 5f24e7a6-381d-4caa-8d5e-1790e27c25dd · outbound

This paper cites Terao, K.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Terao, K

Reference 29

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raw_fallback, observed 2026-08-11T19:42:19.602470Z

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.

source=pdf_text observed=2026-08-11T19:42:19.228335Z digest=sha256:3fc3243703eb6b50822008221c8a0af84479656c6568679d8079b54f8a12e96f

Observation b684c802-7f1d-45b5-9b26-44147acd50ba · outbound

This paper cites Tveito, H.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Tveito, H

Reference 30

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raw_fallback, observed 2026-08-11T19:42:19.589928Z

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.

source=pdf_text observed=2026-08-11T19:42:19.232354Z digest=sha256:3bf26bc53fadedbe2d22438534638842332fc49be7d85f478ba3a6e1eae6cc07

Observation 99936a41-c34a-42c0-8c27-06fd2c4fe8ca · outbound

This paper cites an unresolved cited work.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Unresolved cited work

Reference 31

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raw_fallback, observed 2026-08-11T19:42:19.576863Z

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.

source=pdf_text observed=2026-08-11T19:42:19.236893Z digest=sha256:f162e2b880b2be0e3dcf0b1e41e21102204638790ac77bd946724eb88b53b5e7

Observation dbd6a64b-2935-43c4-ba13-7873aa37f903 · outbound

This paper cites A Practical Guide to Randomized Matrix Computations with MATLAB Implementations.

A new randomized CholeskyQR based on LU decomposition with partial pivoting A Practical Guide to Randomized Matrix Computations with MATLAB Implementations

Reference 32

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unresolved
no resolver link, observed 2026-08-11T19:42:19.241460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:42:19.241460Z digest=sha256:6c51747891e6cda47e3d8885a9a5c795207656446a5b97c6842dbd052d8b3385

Observation 753d6a9a-01e6-4918-9420-91d33c364f4c · outbound

This paper cites Woodruff, Sketching as a Tool for Numerical Linear Algebra , Foundations and Trends in Theoretical Computer Science, 10 (2014), p.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Woodruff, Sketching as a Tool for Numerical Linear Algebra , Foundations and Trends in Theoretical Computer Science, 10 (2014), p

Reference 33

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raw_fallback, observed 2026-08-11T19:42:19.563773Z

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.

source=pdf_text observed=2026-08-11T19:42:19.246126Z digest=sha256:1e661ba6bf2f9772d88ca8ef6f8702f1275f1a650990745f2e86548b46ee079d

Observation d7f7ef6b-c47d-4998-a5c4-3a4a390bd1c0 · outbound

This paper cites Yamamoto, Y.

A new randomized CholeskyQR based on LU decomposition with partial pivoting Yamamoto, Y

Reference 34

Resolution
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raw_fallback, observed 2026-08-11T19:42:19.549090Z

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.

source=pdf_text observed=2026-08-11T19:42:19.254691Z digest=sha256:a270ce3830e3c792ea0656dca233582897638c8c8ee17040543a47629febe42e

Pith citing papers

Observation dccd7b34-3988-4086-b467-08f2a5987f08 · inbound

RCLUPPr: a new randomized CholeskyQR with LU preconditioning cites this paper.

RCLUPPr: a new randomized CholeskyQR with LU preconditioning A new randomized CholeskyQR based on LU decomposition with partial pivoting

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T23:04:51.714014Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T23:04:51.714014Z digest=sha256:e18f621fdffe2b6a08dfd279d47fa47a8a4300d3c37c7328c4b1bd4de83034dc