Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T16:46:25.278642Z
Paper Citation Record · LEDGER
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application
As of 17 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2412.09898.
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 2026-08-17T06:30:58.91139+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
22 of 22 outbound references displayed
- verified exact1
- verified fuzzy16
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 7d74c35e-9ef4-4dd2-a3c9-5387ec2602c0 · outbound
This paper cites Springer, New York (2000).
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application Springer, New York (2000)
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T16:46:25.716949Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5f258956-75bb-4727-8015-a16c501ef95a · outbound
This paper cites and Zhao, X.: Quadratic Growth Conditions for Con vex Matrix Optimiza- tion Problems Associated with Spectral Functions.
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application and Zhao, X.: Quadratic Growth Conditions for Con vex Matrix Optimiza- tion Problems Associated with Spectral Functions
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T16:46:25.702128Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 244c4b51-2a27-4256-ae27-779d098d0fb2 · outbound
This paper cites and Sendov, H.: Prox-Regularity of Spectral Functions and Spectral Sets.
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application and Sendov, H.: Prox-Regularity of Spectral Functions and Spectral Sets
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T16:46:25.687034Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f1fea8a1-9e65-4a94-9497-1e01e5468574 · outbound
This paper cites Set-Valued Var.
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application Set-Valued Var
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T16:46:25.671412Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 34aa155d-d605-42f4-9ace-5b0baf36e9e8 · outbound
This paper cites and Toh, K.C.: An Introduction to a Class of Matrix Cone Programming.
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application and Toh, K.C.: An Introduction to a Class of Matrix Cone Programming
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T16:46:25.656173Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9ad6d913-f3e3-440b-bad9-a161d312d428 · outbound
This paper cites Springer, Berlin (2001).
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application Springer, Berlin (2001)
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T16:46:25.640837Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8e8dcbdf-0215-48e9-892c-5f8968e3d479 · outbound
This paper cites Cambridge univ ersity press, Cambridge (2012).
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application Cambridge univ ersity press, Cambridge (2012)
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T16:46:25.626157Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 092439b4-52ed-4b8c-9d65-38ff6f6a1ea0 · outbound
This paper cites an unresolved cited work.
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T16:46:25.609558Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation fff816a3-5fe1-414c-9648-a271c2c7af95 · outbound
This paper cites an unresolved cited work.
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T16:46:25.594063Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 45fdadb7-5f99-4659-bdec-952588e76d83 · outbound
This paper cites P art I: Theory.
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application P art I: Theory
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T16:46:25.577030Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d4c9babd-ab8a-4b09-acef-067f74f99151 · outbound
This paper cites P art II: Applications.
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application P art II: Applications
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T16:46:25.562592Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9543ea5f-20e2-4d6f-9b36-90cbe37a8cde · outbound
This paper cites Linear Algebra Appl.
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application Linear Algebra Appl
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T16:46:25.547568Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 91953649-5289-48a7-8d64-8d9ccc4d1d5e · outbound
This paper cites and Sarabi, M.E.: Variational A nalysis of Composite Models with Applications to Continuous Optimization.
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application and Sarabi, M.E.: Variational A nalysis of Composite Models with Applications to Continuous Optimization
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T16:46:25.531847Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 05c84bf4-d9fc-45c3-b698-0492a80c1cdc · outbound
This paper cites an unresolved cited work.
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application Unresolved cited work
Reference 14
- Resolution
- verified exact
- raw_fallback, observed 2026-08-11T16:46:25.390937Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7eae5e86-6070-4f41-b538-18d8b4457c21 · outbound
This paper cites an unresolved cited work.
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T16:46:25.515972Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 6a8b8191-1e75-4fcc-bb1e-221d282f88b7 · outbound
This paper cites Princeton University Press, Princeton (1970).
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application Princeton University Press, Princeton (1970)
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T16:46:25.250914Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8f24d7df-5892-44bb-9d2d-24b8e0561193 · outbound
This paper cites an unresolved cited work.
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T16:46:25.490033Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 642463ea-5869-4056-b2f6-7ace27844b4e · outbound
This paper cites Springer, B erlin (1998).
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application Springer, B erlin (1998)
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T16:46:25.473201Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2d34287c-bc89-416f-abbf-064243a58d97 · outbound
This paper cites Nonlinear Anal.
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application Nonlinear Anal
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T16:46:25.455366Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation bdae8f05-6bd4-4003-a4d1-43eb77177fbe · outbound
This paper cites SIAM Re v.
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application SIAM Re v
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T16:46:25.439593Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 99eafc04-7a77-4e19-b11b-7099a3cf85e6 · outbound
This paper cites Linear Algebra Appl.
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application Linear Algebra Appl
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T16:46:25.422820Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d2c488b2-64fc-4bdc-b106-6b6fb504ff3c · outbound
This paper cites and Xiao, X.: On the Second-order Directio nal Derivatives of Singular Values of Matrices and Symmetric Matrix-valued Functions.
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application and Xiao, X.: On the Second-order Directio nal Derivatives of Singular Values of Matrices and Symmetric Matrix-valued Functions
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T16:46:25.407422Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Pith citing papers
No inbound Pith citation observations are available.