Paper Citation Record · LEDGER

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation

As of 8 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2506.03617.

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

pith.paper-citation-record.v1
2506.03617 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:08:17.055208Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

49 of 49 outbound references displayed

verified exact19
verified fuzzy4
unresolved26
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6723dd2d-248e-402b-8767-a259098f30f8 · outbound

This paper cites an unresolved cited work.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:14.226222Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cdc0c75f-b9ed-4b4c-8d2b-b11dfd5c5d1c · outbound

This paper cites Aminzadeh, J.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Aminzadeh, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:08:19.302267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 53257c32-8d88-4d76-a663-ac320a812b61 · outbound

This paper cites Appel\" o , F.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Appel\" o , F

Reference 3

Resolution: verified exact; doi, observed 2026-08-07T11:08:18.350841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5e0956f1-6bd7-47a7-beff-cb318bc34173 · outbound

This paper cites Arnold, S.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Arnold, S

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:14.436104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8998b5c0-714b-42ca-869e-7d31bd06eeab · outbound

This paper cites Auchmuty, E.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Auchmuty, E

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:08:19.257658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 35d43e3d-7d4d-4a89-b4e1-b843766cff28 · outbound

This paper cites Babu s ka and S.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Babu s ka and S

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:14.548020Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d631e9f-f04f-4814-909a-f910b71cc566 · outbound

This paper cites Benzi and G.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Benzi and G

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:14.659118Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cfea453d-be56-4a0f-ad06-b031a6e418bc · outbound

This paper cites Benzi, G.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Benzi, G

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:14.695291Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 745f591a-4980-49b9-9d2d-fbdd0f46a0f5 · outbound

This paper cites Berenger , A perfectly matched layer for the absorption of electromagnetic waves , Journal of Computational Physics, 114 (1994), pp.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Berenger , A perfectly matched layer for the absorption of electromagnetic waves , Journal of Computational Physics, 114 (1994), pp

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:14.720313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95cd5d42-bdec-402f-a1ea-507a884e96e8 · outbound

This paper cites an unresolved cited work.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Unresolved cited work

Reference 10

Resolution: verified exact; raw_fallback, observed 2026-08-07T11:08:18.791357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 818dcacf-2808-4da0-8623-7c5920c08656 · outbound

This paper cites Calandra, S.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Calandra, S

Reference 11

Resolution: verified exact; doi, observed 2026-08-07T11:08:18.239549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 006d4b60-f289-4dfd-b675-9a2d593ecc8d · outbound

This paper cites Carson, J.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Carson, J

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:14.947514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0cc3c4c-6932-4fbe-b3c8-f13d91764d8f · outbound

This paper cites Chen and X.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Chen and X

Reference 13

Resolution: verified exact; doi, observed 2026-08-07T11:08:18.170674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 20b232a8-fbc2-4e49-8289-0c432d432115 · outbound

This paper cites an unresolved cited work.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Unresolved cited work

Reference 14

Resolution: verified exact; doi, observed 2026-08-07T11:08:18.150601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d221be73-5c1f-4295-97bd-4e4f3afd5740 · outbound

This paper cites Cummings and X.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Cummings and X

Reference 15

Resolution: verified exact; doi, observed 2026-08-07T11:08:18.110674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 600dcd83-7f91-4d88-aa1a-68b4b8aa7aa0 · outbound

This paper cites Despr\' e s , M\' e thodes de d\' e composition de domaine pour les probl\` e ms de propagation d'ondes en r\' e gime harmonique.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Despr\' e s , M\' e thodes de d\' e composition de domaine pour les probl\` e ms de propagation d'ondes en r\' e gime harmonique

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:08:19.223222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e5d349f8-76e8-479e-abdc-7d8a8d885b31 · outbound

This paper cites Eiermann and O.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Eiermann and O

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:15.410847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3f56e45-7186-48c2-93df-6e0c6ad71ccd · outbound

This paper cites Engquist and A.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Engquist and A

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:15.470568Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b34a022e-f2dc-41c2-8ad6-f614d3713683 · outbound

This paper cites Engquist and L.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Engquist and L

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:15.521367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b903d39c-f010-46c1-ab03-818d2b2107ad · outbound

This paper cites an unresolved cited work.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Unresolved cited work

Reference 20

Resolution: verified exact; doi, observed 2026-08-07T11:08:17.973459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9c4e5238-ea41-42ed-965f-30e75808a883 · outbound

This paper cites an unresolved cited work.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Unresolved cited work

Reference 21

Resolution: verified exact; doi, observed 2026-08-07T11:08:17.932032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dff7f125-4b54-4fb4-b63a-b5d1b8fb69e0 · outbound

This paper cites an unresolved cited work.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Unresolved cited work

Reference 22

Resolution: verified exact; doi, observed 2026-08-07T11:08:17.906956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4782e324-4386-4329-84f9-422b7d3c407f · outbound

This paper cites an unresolved cited work.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Unresolved cited work

Reference 23

Resolution: verified exact; doi, observed 2026-08-07T11:08:17.872035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0f14e6bd-8f33-45ea-ad67-07538792b57b · outbound

This paper cites Feng and H.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Feng and H

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:15.836757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17961036-64ea-4948-bac5-86dbb8cc04d1 · outbound

This paper cites Galkowski and E.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Galkowski and E

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:15.897415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd0d5437-c7bc-473e-8b45-42def4f2c9d3 · outbound

This paper cites an unresolved cited work.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:15.970314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 02466b71-4eef-4d4c-8f7e-a00c36002a98 · outbound

This paper cites an unresolved cited work.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:16.071085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82da6f3d-1e3f-4b29-bc61-14abf8bfda87 · outbound

This paper cites an unresolved cited work.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:16.146104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aef83e3f-a561-4cf5-b99a-3cdbdc213549 · outbound

This paper cites an unresolved cited work.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Unresolved cited work

Reference 29

Resolution: verified exact; doi, observed 2026-08-07T11:08:17.657217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 641bdea6-4084-4777-811f-805f67d68ad8 · outbound

This paper cites Greenbaum, V.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Greenbaum, V

Reference 30

Resolution: verified exact; doi, observed 2026-08-07T11:08:17.625586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1e286154-fac9-499b-a480-6fbb4df0650d · outbound

This paper cites an unresolved cited work.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Unresolved cited work

Reference 31

Resolution: verified exact; doi, observed 2026-08-07T11:08:17.575008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 59e2c9e7-902d-44db-b942-1276d83ae2c9 · outbound

This paper cites Hernandez, J.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Hernandez, J

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:16.483406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8ebfd3e-bd24-4589-ba07-3f0149ae84b3 · outbound

This paper cites an unresolved cited work.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:16.559211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14799821-2f05-49c0-af7c-91202ef5dd7e · outbound

This paper cites Hochbruck and A.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Hochbruck and A

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:16.735720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6e21df6-347b-4731-94c3-cc9418055b33 · outbound

This paper cites Ihlenburg and I.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Ihlenburg and I

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:16.788411Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19b3d822-7a7b-499f-a4d9-882b16095c70 · outbound

This paper cites Lafontaine, E.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Lafontaine, E

Reference 36

Resolution: verified exact; doi, observed 2026-08-07T11:08:17.477347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 51e6d356-884f-4d8a-a75e-7bc6161121fc · outbound

This paper cites Luo and Q.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Luo and Q

Reference 37

Resolution: verified exact; doi, observed 2026-08-07T11:08:17.450423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1ad57399-968d-4a5d-bff5-55edfde50e63 · outbound

This paper cites an unresolved cited work.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Unresolved cited work

Reference 38

Resolution: verified exact; doi, observed 2026-08-07T11:08:17.418319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b52f66d1-defd-4661-8826-58214d4a8f19 · outbound

This paper cites an unresolved cited work.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:16.940925Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56044274-e272-4f8a-9be7-4c9214511031 · outbound

This paper cites an unresolved cited work.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:16.952481Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9591bb5-7c21-4471-9bd9-ffe68b67a5a0 · outbound

This paper cites N\' e d\' e lec , Acoustic and electromagnetic equations , Springer, New York, 2001, https://doi.org/10.1007/978-1-4757-4393-7.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation N\' e d\' e lec , Acoustic and electromagnetic equations , Springer, New York, 2001, https://doi.org/10.1007/978-1-4757-4393-7

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:16.958901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5104d10-aab2-4aab-b0a0-e375d09f9c0c · outbound

This paper cites Poulson, B.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Poulson, B

Reference 42

Resolution: verified exact; doi, observed 2026-08-07T11:08:17.320128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0640aa75-2e49-436d-bbb3-42ce74bd61da · outbound

This paper cites Saad , A flexible inner-outer preconditioned GMRES algorithm , SIAM Journal on Scientific Computing, 14 (1993), pp.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Saad , A flexible inner-outer preconditioned GMRES algorithm , SIAM Journal on Scientific Computing, 14 (1993), pp

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:16.987253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e3cf8155-6230-40c1-a69a-f678f5164703 · outbound

This paper cites Saad and M.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Saad and M

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:17.004621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4afcab1e-cde4-4bab-9a38-72ed2560d75e · outbound

This paper cites an unresolved cited work.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Unresolved cited work

Reference 45

Resolution: verified exact; doi, observed 2026-08-07T11:08:17.226627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7f2118a2-958e-4392-8b82-aab4b852b569 · outbound

This paper cites Trottenberg, C.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Trottenberg, C

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:08:19.185947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4cd210f7-fc3a-4ccf-9b92-7706de281e9e · outbound

This paper cites Tsuji, J.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Tsuji, J

Reference 47

Resolution: verified exact; raw_fallback, observed 2026-08-07T11:08:18.551481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5a1258d7-049f-487a-8a83-7449a89c6629 · outbound

This paper cites an unresolved cited work.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation Unresolved cited work

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:17.046720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 89c8c7a5-5333-4e0f-9e8f-0814ee01ce57 · outbound

This paper cites write newline.

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation write newline

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-07T11:08:17.055208Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.