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Paper Citation Record · LEDGER

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement

As of 22 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2605.17185.

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

pith.paper-citation-record.v1
2605.17185 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-20T14:02:30.189846Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

52 of 52 outbound references displayed

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  • verified fuzzy34
  • unresolved7
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2794f010-f978-490a-b55d-406401254fd5 · outbound

This paper cites A Note on the Randomized.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement A Note on the Randomized

Reference 1

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Observation 47a717cb-4fec-431e-b5be-751a40628938 · outbound

This paper cites On the fast convergence of minibatch heavy ball momentum , urldate =.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement On the fast convergence of minibatch heavy ball momentum , urldate =

Reference 2

Resolution
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Observation a8cdcd5e-3d26-4bb3-a6a2-10d06dde3de7 · outbound

This paper cites Global Convergence of.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Global Convergence of

Reference 3

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Observation 325c12ac-878c-4880-9a66-6f1626c8e3e2 · outbound

This paper cites Numerical Stability of the.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Numerical Stability of the

Reference 4

Resolution
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Source-reported events for the cited work

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Observation d617a1c3-a1e9-4b12-be41-1a91bf1e57cb · outbound

This paper cites Accelerating the solution of linear systems by iterative refinement in three precisions , volume =.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Accelerating the solution of linear systems by iterative refinement in three precisions , volume =

Reference 5

Resolution
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Source-reported events for the cited work

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Observation d18bd8d2-7f86-4a03-a33a-9af30e3785f7 · outbound

This paper cites Perturbation Analyses for the.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Perturbation Analyses for the

Reference 6

Resolution
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Observation c46fd461-3d56-42e0-9b56-26a28e14a84d · outbound

This paper cites Rigorous perturbation bounds of some matrix factorizations , volume =.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Rigorous perturbation bounds of some matrix factorizations , volume =

Reference 7

Resolution
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Source-reported events for the cited work

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Observation f0d2c08c-308f-4fbc-bf01-03fd106abea8 · outbound

This paper cites Well-Conditioned Oblivious Perturbations in Linear Space , year =.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Well-Conditioned Oblivious Perturbations in Linear Space , year =

Reference 8

Resolution
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Source-reported events for the cited work

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Observation f12f1e02-4016-42d7-8676-a86f5a7f806e · outbound

This paper cites Solving dense linear systems faster than via preconditioning , year =.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Solving dense linear systems faster than via preconditioning , year =

Reference 9

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation cd660449-b2d0-42e2-b5da-c44daebce86d · outbound

This paper cites Fine-grained analysis and faster algorithms for iteratively solving linear systems , volume =.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Fine-grained analysis and faster algorithms for iteratively solving linear systems , volume =

Reference 10

Resolution
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Source-reported events for the cited work

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Observation be2d4414-c0ef-4b5c-add9-431be5be5807 · outbound

This paper cites Randomized.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Randomized

Reference 11

Resolution
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Source-reported events for the cited work

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Observation e59e2dbd-4e6a-42e8-a37a-c811fd10c434 · outbound

This paper cites Last-Iterate Convergence of Randomized.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Last-Iterate Convergence of Randomized

Reference 12

Resolution
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Source-reported events for the cited work

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Observation 98b0b282-59c3-4ea5-8555-bdc2c5e63c97 · outbound

This paper cites and Greenbaum, Anne and Nakatsukasa, Yuji , journal =.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement and Greenbaum, Anne and Nakatsukasa, Yuji , journal =

Reference 13

Resolution
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Observation 14f12ea1-8ad2-4a7a-a703-a54661a8ceb4 · outbound

This paper cites and Goldshlager, Gil and Webber, Robert J.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement and Goldshlager, Gil and Webber, Robert J

Reference 14

Resolution
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Source-reported events for the cited work

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Observation ef26e3ef-0190-4fc2-9136-15529527af72 · outbound

This paper cites Block-iterative methods for consistent and inconsistent linear equations , volume =.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Block-iterative methods for consistent and inconsistent linear equations , volume =

Reference 15

Resolution
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Source-reported events for the cited work

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Observation ff754f21-8c88-4293-931e-9a9246e0c183 · outbound

This paper cites and Meier, Maike and Nakatsukasa, Yuji , copyright =.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement and Meier, Maike and Nakatsukasa, Yuji , copyright =

Reference 16

Resolution
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Observation d5389b61-e64e-45a6-b6bb-502f00177eb0 · outbound

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Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement How catastrophic can catastrophic forgetting be in linear regression? , year =

Reference 17

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Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Unresolved cited work

Reference 18

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Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Unresolved cited work

Reference 19

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Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Matrix computations , year =

Reference 20

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Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Randomized iterative methods for linear systems , volume =

Reference 21

Resolution
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Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Advances in Neural Information Processing Systems , title =

Reference 22

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Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Behavior of slightly perturbed

Reference 23

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Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Accuracy and stability of numerical algorithms , year =

Reference 24

Resolution
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Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Mixed precision algorithms in numerical linear algebra , year =

Reference 25

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Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement On Subsampled Quantile Randomized

Reference 26

Resolution
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Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Unresolved cited work

Reference 27

Resolution
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Source-reported events for the cited work

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Observation 7d227f8f-4e38-46c2-a984-ab5fbbab37bd · outbound

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Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Angenaherte auflosung von systemen linearer glei-chungen , year =

Reference 28

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Efficient accelerated coordinate descent methods and faster algorithms for solving linear systems , year =

Reference 29

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement An Accelerated Randomized

Reference 30

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation d247eee8-a03b-47fe-aabe-f5e1160fa76b · outbound

This paper cites Iterative refinement of the solution of a positive definite system of equations , volume =.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Iterative refinement of the solution of a positive definite system of equations , volume =

Reference 31

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation c4a672cc-7212-44cb-9dad-cff5ba6261ba · outbound

This paper cites Convergence Properties of the Randomized Extended.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Convergence Properties of the Randomized Extended

Reference 32

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 534c4cbc-d696-474f-ba32-45b4c9886a1e · outbound

This paper cites SIAM Journal on Matrix Analysis and Applications , pages =.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement SIAM Journal on Matrix Analysis and Applications , pages =

Reference 33

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation b8fcfb6b-5460-4611-b866-653fb92ddd87 · outbound

This paper cites Stability of the.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Stability of the

Reference 34

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-20T14:02:30.189846Z digest=sha256:2581e1b2176c0c22ac6f5ec10de6c536ae78827c7ad6a17a2b9963d050dd3dbd

Observation b12a1fe6-5cc8-4af3-a006-20f9809248a7 · outbound

This paper cites Fast and Stable Randomized Low-Rank Matrix Approximation , year =.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Fast and Stable Randomized Low-Rank Matrix Approximation , year =

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T14:03:20.772830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-20T14:02:30.189846Z digest=sha256:dce5ca8ad55ab610fda45c7c9f650d37c999cc17b9f003c864035973ce902d9e

Observation a9151399-19de-424e-a032-de63a31957fe · outbound

This paper cites Randomized.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Randomized

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T14:03:20.695046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-20T14:02:30.189846Z digest=sha256:18eeb81e8678c465a634127b23fd083c6ecfec4718a931abdd292e2f1fa8b67a

Observation cd5606b9-6387-452d-b601-1fdc5b054ae0 · outbound

This paper cites an unresolved cited work.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-05-20T14:03:20.774965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-20T14:02:30.189846Z digest=sha256:12da03b6dc5a426f711db767657561778e96dbc9bcfcc10fd0956083befa6802

Observation af30b12c-d7f1-40c4-8c3c-8eecf7b97795 · outbound

This paper cites Introductory lectures on convex optimization: A basic course , volume =.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Introductory lectures on convex optimization: A basic course , volume =

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T14:03:20.689042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-20T14:02:30.189846Z digest=sha256:60e91da9d7a4d6890e936dfbd90bd94b88f97e8da005255f46d771c5337dff3b

Observation 3dc294d4-e766-4215-a727-ba500b16139d · outbound

This paper cites Randomized.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Randomized

Reference 39

Resolution
verified exact
doi, observed 2026-05-20T14:03:20.191159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-20T14:02:30.189846Z digest=sha256:4a85a74543ea528cd9d603aab8b6bd67149b9e948f3cbbd7fb233affefa73c1f

Observation 3a9535c9-f42e-4f7c-aba0-2583edf9907c · outbound

This paper cites Stochastic gradient descent, weighted sampling, and the randomized.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Stochastic gradient descent, weighted sampling, and the randomized

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T14:03:20.691991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-20T14:02:30.189846Z digest=sha256:f0478596b897bc13ead5adeba8cc2ef873993cbf8a616f4c5507b49cef349e82

Observation 707a7a27-fa55-4afc-9e47-a8f69ebb1523 · outbound

This paper cites Accuracy and Stability of.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Accuracy and Stability of

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T14:03:20.697621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-20T14:02:30.189846Z digest=sha256:c7a4e49760b36ad3142ebcd949825b0a36d72900745a4c37eb1410a27875b891

Observation 5638f47e-2708-4855-bcd6-e058481cc12b · outbound

This paper cites an unresolved cited work.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-05-20T14:03:20.706076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-20T14:02:30.189846Z digest=sha256:126c99c1e6be4d0a1cc6226bffdd63928ff203d7c93af5b44166806059fba5aa

Observation b3717f42-1748-4171-8f9d-bc1174cd51b6 · outbound

This paper cites Turbocharging gaussian process inference with approximate sketch-and-project , volume =.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Turbocharging gaussian process inference with approximate sketch-and-project , volume =

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T14:03:20.744727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-20T14:02:30.189846Z digest=sha256:2fa195fd039caf220671f6042381318f5897aabce48c2dc6df2e81f0094da452

Observation 61462267-76a1-44b5-a29c-23abaf3e8cc1 · outbound

This paper cites Nearly linear time algorithms for preconditioning and solving symmetric, diagonally dominant linear systems , volume =.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Nearly linear time algorithms for preconditioning and solving symmetric, diagonally dominant linear systems , volume =

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T14:03:20.736326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-20T14:02:30.189846Z digest=sha256:df197383e8e2d04a530defdc006531e823e6b610c5f02f4e6c653e81c5537fd1

Observation 8535a648-6746-487b-9e05-127cde6c198c · outbound

This paper cites Quantile-Based Random.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Quantile-Based Random

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T14:03:20.801087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-20T14:02:30.189846Z digest=sha256:e7025824cf72936fc187bf56aa6b3cfc15ee9f505e10cd656f3a3c48f937dce6

Observation 4fac4645-4e59-48ce-bb86-9d77c287e0ec · outbound

This paper cites Gradient Descent Learning With Floats , urldate =.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Gradient Descent Learning With Floats , urldate =

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T14:03:20.803910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-20T14:02:30.189846Z digest=sha256:31a1ce0169b3412f59f03dcfce0ca376ec617b11e0c90eb7c2f9ff9166166b69

Observation ce168cfd-bef2-4b1f-9e6f-28202d0681f0 · outbound

This paper cites A Randomized.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement A Randomized

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T14:03:20.713481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-20T14:02:30.189846Z digest=sha256:44c83fe97ac44f12d54b3577078823fe85b2e7e3b78ad1f6a624093371a18789

Observation 4d0c2656-d992-4619-abb3-32e15a888b2c · outbound

This paper cites On perturbation bounds for the.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement On perturbation bounds for the

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T14:03:20.716222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-20T14:02:30.189846Z digest=sha256:b9f4c6a5737ba628e1a37887fe14109f5a04428e6d5239e97abc33dc5d500148

Observation 29951bb0-3093-4d7a-b3d2-94641a0be01e · outbound

This paper cites an unresolved cited work.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-05-20T14:03:20.700552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-20T14:02:30.189846Z digest=sha256:a0dfd362ca0903ef2ba98d81e8263884fc6cfe807643a2c4917fdba23b5f3968

Observation 6a824fdc-cea4-4ce2-a994-71ff1c0c8505 · outbound

This paper cites an unresolved cited work.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-05-20T14:03:20.708417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-20T14:02:30.189846Z digest=sha256:6cdc80288789887750340ec493187f6dcdaf868b02225087f0f273ec6126f23d

Observation b61bddf0-d0d5-4a0f-ada7-e39e7ee7a328 · outbound

This paper cites and Koren, Barry , journal =.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement and Koren, Barry , journal =

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T14:03:20.747570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-20T14:02:30.189846Z digest=sha256:3c603115fba8d527fde8bee40317cd0b92ef24cf0101d50a7b28068e096c105a

Observation 610fdf17-2a94-4cd8-abad-59732296e6f6 · outbound

This paper cites an unresolved cited work.

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-05-20T14:03:20.727607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-20T14:02:30.189846Z digest=sha256:7e82adb9cd38d08c0767927460e76bc21fa018cfc283d8419bbcb30a0a3d79ac

Pith citing papers

No inbound Pith citation observations are available.