Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T13:15:29.155580Z
Paper Citation Record · LEDGER
Lanczos with compression for symmetric matrix Lyapunov equations
As of 8 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2505.22498.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
37 of 37 outbound references displayed
- verified exact1
- verified fuzzy25
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 50711c2a-37b3-4b37-8da2-e94cfe9f8f4f · outbound
This paper cites an unresolved cited work.
Lanczos with compression for symmetric matrix Lyapunov equations Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:15:36.658345Z
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 28a41f64-c212-43db-8866-5ccff1f03c64 · outbound
This paper cites Beckermann, An error analysis for rational Galerkin projection applied to the Sylvester equation, SIAM J.
Lanczos with compression for symmetric matrix Lyapunov equations Beckermann, An error analysis for rational Galerkin projection applied to the Sylvester equation, SIAM J
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:36.380847Z
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 0606bb05-5def-4f83-a7b2-625ecbf6805f · outbound
This paper cites Beckermann, A.
Lanczos with compression for symmetric matrix Lyapunov equations Beckermann, A
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:36.129394Z
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 043d5d61-fb29-4163-a31a-d9a61d35307f · outbound
This paper cites Beckermann and A.
Lanczos with compression for symmetric matrix Lyapunov equations Beckermann and A
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:35.988893Z
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 c92266c3-febf-43a6-8f53-f227a3592bc2 · outbound
This paper cites Benner, A.
Lanczos with compression for symmetric matrix Lyapunov equations Benner, A
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:35.776125Z
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 94c17b6c-03ae-4596-8588-87910d0ca1cf · outbound
This paper cites Benner, R.-C.
Lanczos with compression for symmetric matrix Lyapunov equations Benner, R.-C
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:35.563816Z
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 7b65d486-9a5b-4d0d-9483-4b7e00e9421d · outbound
This paper cites Benner, V.
Lanczos with compression for symmetric matrix Lyapunov equations Benner, V
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:35.384398Z
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 9bf1a258-14c4-483a-bf10-99dc816ede3c · outbound
This paper cites Benner, D.
Lanczos with compression for symmetric matrix Lyapunov equations Benner, D
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:35.107229Z
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 44f99169-d97b-4750-adc9-587f86d6decd · outbound
This paper cites an unresolved cited work.
Lanczos with compression for symmetric matrix Lyapunov equations Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:15:34.862817Z
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 3beb5559-1730-46fb-9f53-44741fcf750f · outbound
This paper cites an unresolved cited work.
Lanczos with compression for symmetric matrix Lyapunov equations Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:15:34.638541Z
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 fd33303f-7ff0-4b22-bc05-becdae0d92b6 · outbound
This paper cites an unresolved cited work.
Lanczos with compression for symmetric matrix Lyapunov equations Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:15:34.355791Z
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 2d333f87-cb35-4d01-8a45-f94a785d7468 · outbound
This paper cites A low-memory Lanczos method with rational Krylov compression for matrix functions.
Lanczos with compression for symmetric matrix Lyapunov equations A low-memory Lanczos method with rational Krylov compression for matrix functions
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T13:15:29.342999Z
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 8d29b038-7cc2-4b97-a631-81ae48d5e911 · outbound
This paper cites an unresolved cited work.
Lanczos with compression for symmetric matrix Lyapunov equations Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:15:34.107381Z
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 b70db9de-7cf5-4aad-91f1-b1df0ae0f27e · outbound
This paper cites an unresolved cited work.
Lanczos with compression for symmetric matrix Lyapunov equations Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:15:33.893005Z
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 4e705247-7d51-4f49-b9e6-ece11f8c94cc · outbound
This paper cites Druskin, A.
Lanczos with compression for symmetric matrix Lyapunov equations Druskin, A
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:33.665197Z
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 662ce37f-96e0-4d7d-88ee-af273ed30e7a · outbound
This paper cites Druskin, L.
Lanczos with compression for symmetric matrix Lyapunov equations Druskin, L
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:33.431385Z
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 93a8b397-2c36-44b4-b13e-c996f8b8609b · outbound
This paper cites an unresolved cited work.
Lanczos with compression for symmetric matrix Lyapunov equations Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:15:33.253591Z
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 0d59987f-06cc-4dea-a9b1-cb9b171bd8f3 · outbound
This paper cites Elsworth and S.
Lanczos with compression for symmetric matrix Lyapunov equations Elsworth and S
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:33.094670Z
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 f89ba20e-cdce-45bc-b2d2-345a695d7b0c · outbound
This paper cites Gajic and M.
Lanczos with compression for symmetric matrix Lyapunov equations Gajic and M
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:32.916432Z
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 5f0382ac-cd6d-4daf-b118-5d469cc8f6dc · outbound
This paper cites an unresolved cited work.
Lanczos with compression for symmetric matrix Lyapunov equations Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:15:32.659141Z
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 7ce8a679-e009-4fc0-a5a3-c110fba5fdfc · outbound
This paper cites Grubišić and D.
Lanczos with compression for symmetric matrix Lyapunov equations Grubišić and D
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:32.447095Z
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 34cdb9e1-b010-4bea-bd75-75ec48c3822b · outbound
This paper cites Güttel, Rational Krylov Methods for Operator Functions, PhD thesis, Technische Uni- versität Bergakademie Freiberg, Germany, 2010.
Lanczos with compression for symmetric matrix Lyapunov equations Güttel, Rational Krylov Methods for Operator Functions, PhD thesis, Technische Uni- versität Bergakademie Freiberg, Germany, 2010
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:32.278501Z
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 ba596b2a-8ed5-4ee8-9328-acc3756e2eb9 · outbound
This paper cites Güttel, D.
Lanczos with compression for symmetric matrix Lyapunov equations Güttel, D
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:32.094997Z
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 eb1cdd80-53e6-4fe4-a1e6-181e35c454e1 · outbound
This paper cites Güttel and M.
Lanczos with compression for symmetric matrix Lyapunov equations Güttel and M
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:31.950936Z
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 11850c74-8382-4633-a758-0ccfbfa95052 · outbound
This paper cites an unresolved cited work.
Lanczos with compression for symmetric matrix Lyapunov equations Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:15:31.775090Z
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 e95bab3a-f609-41cb-acb3-7cb2432bdde1 · outbound
This paper cites Jbilou and A.
Lanczos with compression for symmetric matrix Lyapunov equations Jbilou and A
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:31.598570Z
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 d56cc17d-3aa2-49f8-baf5-156220dd3a99 · outbound
This paper cites Kressner, Memory-efficient Krylov subspace techniques for solving large-scale Lyapunov equations, in 2008 IEEE International Conference on Computer-Aided Control Systems, 2008.
Lanczos with compression for symmetric matrix Lyapunov equations Kressner, Memory-efficient Krylov subspace techniques for solving large-scale Lyapunov equations, in 2008 IEEE International Conference on Computer-Aided Control Systems, 2008
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:31.358236Z
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 6d9096c3-c3db-413e-9d3c-9e3890786be6 · outbound
This paper cites Kressner, K.
Lanczos with compression for symmetric matrix Lyapunov equations Kressner, K
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:31.154478Z
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 587059cb-4c26-45a9-ac57-904622e3a884 · outbound
This paper cites Li and J.
Lanczos with compression for symmetric matrix Lyapunov equations Li and J
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:30.890700Z
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 db23b641-a549-494e-b55a-247b00af1dc5 · outbound
This paper cites an unresolved cited work.
Lanczos with compression for symmetric matrix Lyapunov equations Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:15:30.677826Z
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 5b3ccfba-0ebf-4251-a1a7-78b3f7634d62 · outbound
This paper cites an unresolved cited work.
Lanczos with compression for symmetric matrix Lyapunov equations Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:15:30.513552Z
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 bfe19886-17a8-4ee5-aefd-dd23734123d1 · outbound
This paper cites Matrix Anal.
Lanczos with compression for symmetric matrix Lyapunov equations Matrix Anal
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:30.274508Z
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 6d6d6a25-e989-4e1d-86de-dbf1afbfe8f3 · outbound
This paper cites Palitta and V.
Lanczos with compression for symmetric matrix Lyapunov equations Palitta and V
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:30.113884Z
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 882e3995-09bc-49ad-90ee-d3d8385649a9 · outbound
This paper cites Penzl , A cyclic low-rank Smith method for large sparse Lyapunov equations, SIAM J.
Lanczos with compression for symmetric matrix Lyapunov equations Penzl , A cyclic low-rank Smith method for large sparse Lyapunov equations, SIAM J
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:29.948397Z
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 026ad400-e5af-4193-aad6-749be54630a5 · outbound
This paper cites Saad , Numerical solution of large Lyapunov equations, in Signal processing, scattering and operator theory, and numerical methods (Amsterdam, 1989), vol.
Lanczos with compression for symmetric matrix Lyapunov equations Saad , Numerical solution of large Lyapunov equations, in Signal processing, scattering and operator theory, and numerical methods (Amsterdam, 1989), vol
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:29.823750Z
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 a7053985-b1e9-4ee2-8c90-4cae649c4413 · outbound
This paper cites Simoncini , Computational methods for linear matrix equations, SIAM Rev., 58 (2016), pp.
Lanczos with compression for symmetric matrix Lyapunov equations Simoncini , Computational methods for linear matrix equations, SIAM Rev., 58 (2016), pp
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:29.669615Z
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 ed8aaf7c-8d21-455d-8a0f-fdfdd274c20d · outbound
This paper cites Simoncini and V.
Lanczos with compression for symmetric matrix Lyapunov equations Simoncini and V
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:15:29.525481Z
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.
Pith citing papers
No inbound Pith citation observations are available.