Paper Citation Record · LEDGER

Component-wise accurate computation of the square root of an M-matrix

As of 16 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2605.21679.

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

pith.paper-citation-record.v1
2605.21679 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-22T09:05:49.565749Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T02:45:29.925347Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

verified exact2
verified fuzzy14
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 08d92b62-aeb7-46f7-878d-e37c085af98f · outbound

This paper cites Alefeld and N.

Component-wise accurate computation of the square root of an M-matrix Alefeld and N

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:06:20.636097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c3dcf78d-d1c8-43c9-bbe0-7069f3f76c95 · outbound

This paper cites an unresolved cited work.

Component-wise accurate computation of the square root of an M-matrix Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-05-22T09:06:20.632976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c112affa-b806-4452-ba35-e39fc48efc0f · outbound

This paper cites Benzi, D.

Component-wise accurate computation of the square root of an M-matrix Benzi, D

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:06:20.629748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 38bd53ca-096b-42ba-9db9-41cb6ed78f7f · outbound

This paper cites Berman and R.

Component-wise accurate computation of the square root of an M-matrix Berman and R

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:06:20.602931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 847ba028-b4cc-4bd0-a786-0e165a6f13f0 · outbound

This paper cites Berman, R.

Component-wise accurate computation of the square root of an M-matrix Berman, R

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:06:20.597003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 39403814-21da-49eb-83d2-68f2b753b446 · outbound

This paper cites an unresolved cited work.

Component-wise accurate computation of the square root of an M-matrix Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-05-22T09:06:20.620542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 874d81c0-41a8-4186-bce5-cac9ee938a7f · outbound

This paper cites Chen, R.-C.

Component-wise accurate computation of the square root of an M-matrix Chen, R.-C

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:06:20.599539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b2f11c81-f68e-4ada-8369-8917edcec44b · outbound

This paper cites Deadman, N.

Component-wise accurate computation of the square root of an M-matrix Deadman, N

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:06:20.614750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 16a76ded-ccba-458b-a636-dcc51cb4ebf7 · outbound

This paper cites Druskin and L.

Component-wise accurate computation of the square root of an M-matrix Druskin and L

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:06:20.617698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 314377d6-dd4a-4097-ad76-9696d66fa647 · outbound

This paper cites Evard and F.

Component-wise accurate computation of the square root of an M-matrix Evard and F

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:06:20.594311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation afcd766f-3b94-4900-abe2-59ef1402cc2b · outbound

This paper cites Polynomial Preconditioning for the Action of the Matrix Square Root and Inverse Square Root.

Component-wise accurate computation of the square root of an M-matrix Polynomial Preconditioning for the Action of the Matrix Square Root and Inverse Square Root

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-22T09:06:20.249698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 236cf894-4c24-4bc3-8c61-437ce9700a0c · outbound

This paper cites an unresolved cited work.

Component-wise accurate computation of the square root of an M-matrix Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-05-22T09:06:20.611728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 21ad4538-0695-4008-bbf0-cbbaae57bc2e · outbound

This paper cites an unresolved cited work.

Component-wise accurate computation of the square root of an M-matrix Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-05-22T09:06:20.608749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 29d8f883-02ec-44f7-b68d-aad9f66b2f6e · outbound

This paper cites an unresolved cited work.

Component-wise accurate computation of the square root of an M-matrix Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-05-22T09:06:20.623813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5564724c-572b-45eb-a806-5c098231dc03 · outbound

This paper cites Guo and D.

Component-wise accurate computation of the square root of an M-matrix Guo and D

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:06:20.585381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f2a7f16e-a557-405e-9b4d-2c9bfcf7e92c · outbound

This paper cites an unresolved cited work.

Component-wise accurate computation of the square root of an M-matrix Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-05-22T09:06:20.591152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2f1cc1af-0904-4c70-bb82-105947b4340d · outbound

This paper cites Iannazzo.

Component-wise accurate computation of the square root of an M-matrix Iannazzo

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:06:20.626731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dc5eedb0-8ffa-44cc-bbb5-ba0dcb1af994 · outbound

This paper cites Iannazzo and B.

Component-wise accurate computation of the square root of an M-matrix Iannazzo and B

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:06:20.579816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3de1dd11-b40c-4e45-b53d-c4ceb6ce30a7 · outbound

This paper cites Liu, W.-G.

Component-wise accurate computation of the square root of an M-matrix Liu, W.-G

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:06:20.576974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e48d500b-2f31-41ed-ab33-228c12f5c5d6 · outbound

This paper cites an unresolved cited work.

Component-wise accurate computation of the square root of an M-matrix Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-05-22T09:06:20.582570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3a6ef03a-301b-41e8-bec3-e85682edaade · outbound

This paper cites an unresolved cited work.

Component-wise accurate computation of the square root of an M-matrix Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-05-22T09:06:20.588604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9add61b4-9583-4cde-a7d3-827e19847dae · outbound

This paper cites an unresolved cited work.

Component-wise accurate computation of the square root of an M-matrix Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-05-22T09:06:20.568809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3afa9835-6efc-4fed-8011-d2ee1366219c · outbound

This paper cites Componentwise accurate Brownian motion computations using Cyclic Reduction.

Component-wise accurate computation of the square root of an M-matrix Componentwise accurate Brownian motion computations using Cyclic Reduction

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-05-22T09:06:20.245281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9d5dc1b2-d021-4d48-837f-34549811bcab · outbound

This paper cites Schneider.

Component-wise accurate computation of the square root of an M-matrix Schneider

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:06:20.573940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3832dcab-7dc5-449e-b26a-7bf2ad4f6370 · outbound

This paper cites Xue and R.-C.

Component-wise accurate computation of the square root of an M-matrix Xue and R.-C

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T09:06:20.571230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2c815fe5-2d34-44ea-b92d-533e40b5b77b · outbound

This paper cites an unresolved cited work.

Component-wise accurate computation of the square root of an M-matrix Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-05-22T09:06:20.605827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

Observation f8cf60a6-acce-4716-a3d3-813bad80f902 · inbound

The mmatrix toolbox: componentwise accurate algorithms for M-matrices with triplet representation cites this paper.

The mmatrix toolbox: componentwise accurate algorithms for M-matrices with triplet representation Component-wise accurate computation of the square root of an M-matrix

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-12T02:45:29.925347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.