Paper Citation Record · LEDGER

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems

As of 19 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 2 inbound Pith citation observations for arXiv:2505.05598.

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

pith.paper-citation-record.v1
2505.05598 v2

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:17:17.263128Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-09T21:21:25.029388Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T14:56:04.144841Z

Reference resolution

42 of 42 outbound references displayed

verified exact5
verified fuzzy12
unresolved25
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External citation measurements

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Outbound references

Observation 4c266f63-ee3e-41dc-983e-03c10957d1db · outbound

This paper cites Aarnes and T.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Aarnes and T

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:17:17.758899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d727fee9-cef7-4182-857d-1095140857e0 · outbound

This paper cites Al Daas, L.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Al Daas, L

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T23:17:16.940667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ca2fd64-9b9e-4a9a-96bf-c6584eaabae2 · outbound

This paper cites Al Daas, P.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Al Daas, P

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:17:17.746494Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8bd3c5bf-5082-4aab-b0db-84cea574e997 · outbound

This paper cites an unresolved cited work.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:17:17.734318Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8e900df8-981a-4d73-b9ab-f360738ceb99 · outbound

This paper cites an unresolved cited work.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:17:17.720554Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fc4cd837-d12e-4641-9614-2eee7a62d0bc · outbound

This paper cites Axelsson , A survey of algebraic multilevel iteration ( AMLI ) methods , BIT Numerical Mathematics, 43 (2003), pp.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Axelsson , A survey of algebraic multilevel iteration ( AMLI ) methods , BIT Numerical Mathematics, 43 (2003), pp

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:17:17.703083Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 457b9070-16d7-4949-8efd-5a177265095f · outbound

This paper cites Axelsson and P.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Axelsson and P

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:17:17.688181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d3a2f43b-4e65-4bec-a752-5cf421994131 · outbound

This paper cites Axelsson and P.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Axelsson and P

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:17:17.674674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 17fb0707-e72a-4689-942f-3a34a532a3a1 · outbound

This paper cites an unresolved cited work.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T23:17:16.976763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1992e831-b4e7-4f5c-95b8-ac8ef521d599 · outbound

This paper cites an unresolved cited work.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T23:17:16.982509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5b7d234-786a-4c9f-ada7-053272fd4b8c · outbound

This paper cites Brandt , Algebraic multigrid theory: The symmetric case , Applied Mathematics and Computation, 19 (1986), pp.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Brandt , Algebraic multigrid theory: The symmetric case , Applied Mathematics and Computation, 19 (1986), pp

Reference 11

Resolution: verified exact; doi, observed 2026-08-15T23:17:17.423118Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d339a6c8-c265-4c3f-9ab6-13df23ab2842 · outbound

This paper cites Brannick, F.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Brannick, F

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T23:17:16.993411Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f51b5376-6b26-4ac4-8060-c3140939e7b6 · outbound

This paper cites Brannick and K.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Brannick and K

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T23:17:16.997930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 364bfae6-68e1-454c-a03f-e4760a099414 · outbound

This paper cites Brezina, A.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Brezina, A

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T23:17:17.002145Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2fdbb315-f247-49ef-a4f1-0ed14f75f6df · outbound

This paper cites Chartier, R.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Chartier, R

Reference 15

Resolution: verified exact; doi, observed 2026-08-15T23:17:17.387246Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8604001b-aa97-423a-9f22-126fe060e3c3 · outbound

This paper cites Dargaville, R.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Dargaville, R

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:17:17.660714Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6866fb8b-259c-4209-a467-df8f0a85e8ac · outbound

This paper cites De Sterck, S.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems De Sterck, S

Reference 17

Resolution: verified exact; doi, observed 2026-08-15T23:17:17.374448Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation dd070df3-ae73-46a4-932e-c90f5086b781 · outbound

This paper cites an unresolved cited work.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T23:17:17.021877Z

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Unavailable: canonical work link unavailable.

Observation 702618d5-a97d-4e77-96f0-21a2c0506444 · outbound

This paper cites an unresolved cited work.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T23:17:17.026497Z

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Unavailable: canonical work link unavailable.

Observation 9abf3550-9564-4744-b90d-68469f252e65 · outbound

This paper cites Galvis and Y.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Galvis and Y

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:17:17.647424Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7fc0b334-17d3-40be-af23-427132a7f351 · outbound

This paper cites Galvis and Y.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Galvis and Y

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T23:17:17.036457Z

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Unavailable: canonical work link unavailable.

Observation c563dd9e-0527-4cd5-bb64-0ec3c56ddcdd · outbound

This paper cites an unresolved cited work.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T23:17:17.040671Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ca29f1c-6a91-45ee-810b-5fcd7e6203a1 · outbound

This paper cites Kuzmin , A guide to numerical methods for transport equations , 2010.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Kuzmin , A guide to numerical methods for transport equations , 2010

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:17:17.626247Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a94e3075-9403-4ca2-9e49-3e71a054ba00 · outbound

This paper cites Li , Rayleigh quotient based optimization methods for eigenvalue problems , Matrix Functions and Matrix Equations, 19 (2015), pp.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Li , Rayleigh quotient based optimization methods for eigenvalue problems , Matrix Functions and Matrix Equations, 19 (2015), pp

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T23:17:17.113524Z

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Unavailable: canonical work link unavailable.

Observation 78a50f2a-0062-42a7-ab5b-0b7fc388a44c · outbound

This paper cites Manteuffel and B.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Manteuffel and B

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-15T23:17:17.156335Z

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Unavailable: canonical work link unavailable.

Observation 1500a449-5fb8-4374-ab1f-1925f3cf6999 · outbound

This paper cites an unresolved cited work.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:17:17.613543Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5e3ef434-b529-4b77-b61f-ad5b3d6f752b · outbound

This paper cites an unresolved cited work.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-15T23:17:17.196272Z

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Unavailable: canonical work link unavailable.

Observation 2f050647-5d5e-492b-b99e-7e80b23aa877 · outbound

This paper cites an unresolved cited work.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:17:17.591649Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2237966e-2d62-4f79-8326-01359711e5a4 · outbound

This paper cites Nataf, H.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Nataf, H

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:17:17.579625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fffab9e1-ccd9-45b6-b216-f0408ea35a3c · outbound

This paper cites Notay , A robust algebraic multilevel preconditioner for non-symmetric M-matrices , Numerical Linear Algebra with Applications, 7 (2000), pp.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Notay , A robust algebraic multilevel preconditioner for non-symmetric M-matrices , Numerical Linear Algebra with Applications, 7 (2000), pp

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:17:17.565825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation be1b442a-8cab-4c85-944b-662360f61b46 · outbound

This paper cites Notay , Algebraic multigrid and algebraic multilevel methods: a theoretical comparison , Numerical Linear Algebra with Applications, 12 (2005), pp.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Notay , Algebraic multigrid and algebraic multilevel methods: a theoretical comparison , Numerical Linear Algebra with Applications, 12 (2005), pp

Reference 31

Resolution: verified exact; doi, observed 2026-08-15T23:17:17.322260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 782e7733-6edb-4aa4-b5b1-85a2b1ba708a · outbound

This paper cites Notay , Algebraic analysis of two-grid methods: The nonsymmetric case , Numerical Linear Algebra with Applications, 17 (2010), pp.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Notay , Algebraic analysis of two-grid methods: The nonsymmetric case , Numerical Linear Algebra with Applications, 17 (2010), pp

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:17:17.552184Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 51c31f04-4dba-4fd4-b372-e741c7a37223 · outbound

This paper cites an unresolved cited work.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-15T23:17:17.223095Z

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Unavailable: canonical work link unavailable.

Observation e1564d83-a4ca-4df6-92ce-5914a42b8b38 · outbound

This paper cites Sala and R.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Sala and R

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:17:17.538884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0cdacfc2-cf4f-4368-b48c-ce7d4e21e2f6 · outbound

This paper cites an unresolved cited work.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:17:17.526836Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3d489f50-4b71-4f47-b516-de3835179610 · outbound

This paper cites an unresolved cited work.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Unresolved cited work

Reference 36

Resolution: verified exact; doi, observed 2026-08-15T23:17:17.299461Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 17b93945-742b-4e37-b2c8-15abd2abf79b · outbound

This paper cites an unresolved cited work.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:17:17.513468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ca37561e-fb3f-4d03-9645-a8b3f89c177c · outbound

This paper cites Virtanen, R.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Virtanen, R

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-15T23:17:17.247097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57c44335-ed92-456c-9928-c75409d10226 · outbound

This paper cites an unresolved cited work.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:17:17.492832Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b9a452bb-3b62-4ac9-a1e3-ce5de7ae4b79 · outbound

This paper cites an unresolved cited work.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:17:17.479268Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 260ff1ac-bd2c-47bc-a648-93e2aaaec7f3 · outbound

This paper cites an unresolved cited work.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:17:17.466703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b4eab400-d171-49cc-ba06-0664970deb81 · outbound

This paper cites write newline.

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems write newline

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-15T23:17:17.263128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 79587a58-9811-4aed-a730-f9fe44d5ba67 · inbound

Optimal transfer operators for nonsymmetric two-grid methods cites this paper.

Optimal transfer operators for nonsymmetric two-grid methods Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-11T14:36:09.373079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ffd7dfe5-3f86-43c2-b319-d179d33855aa · inbound

Norm-based convergence bounds for nonsymmetric algebraic V-cycle multigrid methods cites this paper.

Norm-based convergence bounds for nonsymmetric algebraic V-cycle multigrid methods Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-11T14:56:04.149958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.