Paper Citation Record · LEDGER

An Empirical Study of Conjugate Gradient Preconditioners for Solving Symmetric Positive Definite Systems of Linear Equations

As of 15 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2505.20696.

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

pith.paper-citation-record.v1
2505.20696 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:54:01.379126Z

measured 12 of 12 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

12 of 12 outbound references displayed

verified exact3
verified fuzzy1
unresolved3
parse uncertain0
malformed identifier2
metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0d723d26-75d7-4eb7-aee6-66b4a8b21991 · outbound

This paper cites Robust and Practical Solution of Laplacian Equations by Approximate Elimination.

An Empirical Study of Conjugate Gradient Preconditioners for Solving Symmetric Positive Definite Systems of Linear Equations Robust and Practical Solution of Laplacian Equations by Approximate Elimination

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T13:54:00.414555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e02e7034-372e-4561-bb49-98fd0a53cfad · outbound

This paper cites Cited on page 21.

An Empirical Study of Conjugate Gradient Preconditioners for Solving Symmetric Positive Definite Systems of Linear Equations Cited on page 21

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T13:54:01.294746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f011a453-3c77-48c3-bc66-04dba0f4f7f8 · outbound

This paper cites an unresolved cited work.

An Empirical Study of Conjugate Gradient Preconditioners for Solving Symmetric Positive Definite Systems of Linear Equations Unresolved cited work

Reference 1954

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T13:54:02.881866Z

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 623b65db-d024-427c-9665-8f9d1a3e0715 · outbound

This paper cites Cited on pages 2 and 26.

An Empirical Study of Conjugate Gradient Preconditioners for Solving Symmetric Positive Definite Systems of Linear Equations Cited on pages 2 and 26

Reference 1977

Resolution: verified exact; doi, observed 2026-08-07T13:54:01.744807Z

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 d1731264-ceb5-4ecf-a111-32af13d86312 · outbound

This paper cites A Simple, Combinatorial Algorithm for Solving SDD Systems in Nearly-Linear Time.

An Empirical Study of Conjugate Gradient Preconditioners for Solving Symmetric Positive Definite Systems of Linear Equations A Simple, Combinatorial Algorithm for Solving SDD Systems in Nearly-Linear Time

Reference 1996

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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 2c93a847-9954-4dab-9936-ad66794f8a98 · outbound

This paper cites Cited on page 27.

An Empirical Study of Conjugate Gradient Preconditioners for Solving Symmetric Positive Definite Systems of Linear Equations Cited on page 27

Reference 2001

Resolution: verified exact; doi, observed 2026-08-07T13:54:01.574914Z

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 88bfbf4c-9b11-4f2a-bda0-3238a481cbc9 · outbound

This paper cites T.George, A.Gupta, and V.Sarin.An em- pirical analysis of the performance of precondi- tioners for spd systems.

An Empirical Study of Conjugate Gradient Preconditioners for Solving Symmetric Positive Definite Systems of Linear Equations T.George, A.Gupta, and V.Sarin.An em- pirical analysis of the performance of precondi- tioners for spd systems

Reference 2003

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T13:54:02.443809Z

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 028ecc5b-5cf2-439b-914b-7a0192a26900 · outbound

This paper cites an unresolved cited work.

An Empirical Study of Conjugate Gradient Preconditioners for Solving Symmetric Positive Definite Systems of Linear Equations Unresolved cited work

Reference 2005

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:54:03.104097Z

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 7a335317-50ff-465a-82d4-587601ec6911 · outbound

This paper cites Includes cbuckle and smt.

An Empirical Study of Conjugate Gradient Preconditioners for Solving Symmetric Positive Definite Systems of Linear Equations Includes cbuckle and smt

Reference 2008

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:54:03.320747Z

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 76caee46-0062-48ea-ad0d-5e83a31dbef6 · outbound

This paper cites In- cludes shallow water1 and shallow water2.

An Empirical Study of Conjugate Gradient Preconditioners for Solving Symmetric Positive Definite Systems of Linear Equations In- cludes shallow water1 and shallow water2

Reference 2009

Resolution: verified exact; doi, observed 2026-08-07T13:54:01.943773Z

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 7ef8f595-e23c-428a-a289-3a32578c3169 · outbound

This paper cites 15This preconditioner was invariant to ordering.

An Empirical Study of Conjugate Gradient Preconditioners for Solving Symmetric Positive Definite Systems of Linear Equations 15This preconditioner was invariant to ordering

Reference 2011

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T13:54:02.695219Z

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 4de3eb94-4d34-4e3d-bc88-2d1bdbca186d · outbound

This paper cites Cited on page 22.

An Empirical Study of Conjugate Gradient Preconditioners for Solving Symmetric Positive Definite Systems of Linear Equations Cited on page 22

Reference 2020

Resolution: malformed identifier; no resolver link, observed 2026-08-07T13:54:00.836877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.