Paper Citation Record · LEDGER

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES

As of 22 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2506.17193.

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

pith.paper-citation-record.v1
2506.17193 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:19:30.271067Z

measured 34 of 34 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

34 of 34 outbound references displayed

verified exact20
verified fuzzy3
unresolved9
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4b11ae5b-0efb-4578-9175-096bcdb5ae27 · outbound

This paper cites Arioli, V.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Arioli, V

Reference 1

Resolution: verified exact; doi, observed 2026-08-15T19:19:30.556398Z

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.

Observation 68ffc86f-a6f5-408e-bd03-58cd00816341 · outbound

This paper cites A comparative study of sparse approximate inverse preconditioners.Appl.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES A comparative study of sparse approximate inverse preconditioners.Appl

Reference 2

Resolution: verified exact; doi, observed 2026-08-15T19:19:30.543576Z

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.

Observation 98df27d3-e09f-4fdb-b6ae-0e01f25517e1 · outbound

This paper cites Cai and O.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Cai and O

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T19:19:30.139987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54c5ce80-a329-459b-9287-9f9e82897916 · outbound

This paper cites an unresolved cited work.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Unresolved cited work

Reference 4

Resolution: verified exact; doi, observed 2026-08-15T19:19:30.524025Z

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.

Observation 5bc6369a-4de3-46e0-b166-fb3a2de3000f · outbound

This paper cites an unresolved cited work.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:19:30.835080Z

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.

Observation 4b3b9ef4-3412-49aa-a5be-a6a9c8c90958 · outbound

This paper cites an unresolved cited work.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Unresolved cited work

Reference 6

Resolution: verified exact; doi, observed 2026-08-15T19:19:30.512059Z

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.

Observation 9f21dd4f-a9fe-43fc-b956-7b43c23592ac · outbound

This paper cites Duintjer Tebbens and G.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Duintjer Tebbens and G

Reference 7

Resolution: verified exact; doi, observed 2026-08-15T19:19:30.500239Z

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.

Observation 1cb44353-76cd-4d7c-9e9c-d3b10f855eb5 · outbound

This paper cites Duintjer Tebbens and G.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Duintjer Tebbens and G

Reference 8

Resolution: verified exact; doi, observed 2026-08-15T19:19:30.487904Z

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.

Observation 42abc154-df6e-4858-a349-4d4084e40bfc · outbound

This paper cites an unresolved cited work.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T19:19:30.171315Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 159c3adf-95b9-4693-8e53-232bd8d62ed1 · outbound

This paper cites Extending Elman's Bound for GMRES.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Extending Elman's Bound for GMRES

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T19:19:30.175619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6e1a72f-010a-4ebf-9b46-8a954389b8fd · outbound

This paper cites Embree, R.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Embree, R

Reference 11

Resolution: verified exact; doi, observed 2026-08-15T19:19:30.470591Z

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.

Observation bd239ccb-b9ca-4402-bf33-f2d63605a616 · outbound

This paper cites an unresolved cited work.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Unresolved cited work

Reference 12

Resolution: verified exact; doi, observed 2026-08-15T19:19:30.460400Z

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.

Observation 89c50c96-31b6-4aca-9548-f3366b14df2c · outbound

This paper cites Greenbaum, V.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Greenbaum, V

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T19:19:30.188720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1de4e0dd-726e-474c-ba73-5a596f63a770 · outbound

This paper cites Güttel and J.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Güttel and J

Reference 14

Resolution: verified exact; doi, observed 2026-08-15T19:19:30.442292Z

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.

Observation a0297078-37fe-476f-b3e7-0e915b0c88b8 · outbound

This paper cites an unresolved cited work.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:19:30.823478Z

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.

Observation 4925d6e1-c3d7-4646-8536-1b93e058243b · outbound

This paper cites A different approach to bounding the minimal residual norm in Krylov methods.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES A different approach to bounding the minimal residual norm in Krylov methods

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:19:30.808444Z

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.

Observation d737b4f4-5b5c-420d-a1df-6af10475509d · outbound

This paper cites an unresolved cited work.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Unresolved cited work

Reference 17

Resolution: malformed identifier; no resolver link, observed 2026-08-15T19:19:30.205599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74a24209-12f6-422a-b0aa-ee665914c8c1 · outbound

This paper cites Klawonn and G.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Klawonn and G

Reference 18

Resolution: verified exact; doi, observed 2026-08-15T19:19:30.419638Z

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.

Observation 108f5271-fdfe-4ff3-80b1-f82fe33710a1 · outbound

This paper cites Kubínová and K.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Kubínová and K

Reference 19

Resolution: verified exact; doi, observed 2026-08-15T19:19:30.408594Z

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.

Observation 3891277f-777f-4695-968e-31e9979cd675 · outbound

This paper cites Liesen, M.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Liesen, M

Reference 20

Resolution: verified exact; doi, observed 2026-08-15T19:19:30.395993Z

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.

Observation 6a11b950-caff-4818-8e61-20a90c0eb297 · outbound

This paper cites an unresolved cited work.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Unresolved cited work

Reference 21

Resolution: verified exact; doi, observed 2026-08-15T19:19:30.385322Z

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.

Observation 1093b0f4-d2d3-4399-ac45-4a40214a6e4b · outbound

This paper cites an unresolved cited work.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:19:30.794311Z

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.

Observation 81b05c8c-c14d-4c1b-8bea-cf259eedec63 · outbound

This paper cites GMRESandtheArioli, Pták, andStrakošparametrization.BIT Numerical Mathematics, 52(3):687– 702, 2012.doi:10.1007/s10543-012-0374-4.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES GMRESandtheArioli, Pták, andStrakošparametrization.BIT Numerical Mathematics, 52(3):687– 702, 2012.doi:10.1007/s10543-012-0374-4

Reference 23

Resolution: verified exact; doi, observed 2026-08-15T19:19:30.373657Z

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.

Observation b8425d63-3387-46b4-953c-4252b365623f · outbound

This paper cites Pestana.Nonstandard Inner Products and Preconditioned Iterative Methods.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Pestana.Nonstandard Inner Products and Preconditioned Iterative Methods

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:19:30.780978Z

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.

Observation ca8b41c2-597a-4d41-be3f-d0033f5b26dc · outbound

This paper cites Pestana and A.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Pestana and A

Reference 25

Resolution: verified exact; doi, observed 2026-08-15T19:19:30.361243Z

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.

Observation 3cb9f9a3-8268-456d-9e07-5654d7d36f17 · outbound

This paper cites Saad.Iterative methods for sparse linear systems.Philadelphia, PA: SIAM Society for Industrial and Applied Mathematics, 2nd ed.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Saad.Iterative methods for sparse linear systems.Philadelphia, PA: SIAM Society for Industrial and Applied Mathematics, 2nd ed

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:19:30.767301Z

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.

Observation c7eab78a-fb63-49d2-85fd-5fa5dbaf8ed6 · outbound

This paper cites Saad and M.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Saad and M

Reference 27

Resolution: malformed identifier; raw_fallback, observed 2026-08-15T19:19:30.754099Z

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.

Observation a617305d-62ed-402b-9af9-d34f6af8d5c3 · outbound

This paper cites Sarkis and D.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Sarkis and D

Reference 28

Resolution: verified exact; doi, observed 2026-08-15T19:19:30.349498Z

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.

Observation 0b913879-e496-41ff-bc28-a97a620cacfa · outbound

This paper cites Nečas Cent.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Nečas Cent

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-15T19:19:30.255473Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 226e753c-256f-4c9d-ab25-f1ba27f2b168 · outbound

This paper cites Do you precondition on the left or on the right?, 2026.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Do you precondition on the left or on the right?, 2026

Reference 30

Resolution: verified exact; raw_fallback, observed 2026-08-15T19:19:30.665401Z

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.

Observation 45ace040-361a-4ea1-9123-a0f35031e23d · outbound

This paper cites an unresolved cited work.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Unresolved cited work

Reference 31

Resolution: verified exact; doi, observed 2026-08-15T19:19:30.329926Z

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.

Observation 72708e8a-38db-49e7-8b3c-2d0a0933aea9 · outbound

This paper cites Vecharynski and J.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Vecharynski and J

Reference 32

Resolution: verified exact; doi, observed 2026-08-15T19:19:30.317291Z

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.

Observation 32778b78-e9f4-46a3-9ca2-de51cdd2ec2e · outbound

This paper cites an unresolved cited work.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Unresolved cited work

Reference 33

Resolution: verified exact; doi, observed 2026-08-15T19:19:30.304826Z

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.

Observation 147f52af-2bbf-4c51-8870-e3b71c790dd5 · outbound

This paper cites an unresolved cited work.

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES Unresolved cited work

Reference 2011

Resolution: unresolved; no resolver link, observed 2026-08-15T19:19:30.152736Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.