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Paper Citation Record · LEDGER

A Spectral Gradient Projection Method for the Positive Semi-definite Procrustes Problem

As of 16 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:1908.06497.

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

pith.paper-citation-record.v1
1908.06497 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:47:30.929785Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

18 of 18 outbound references displayed

  • verified exact1
  • verified fuzzy15
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2806387e-0c7e-423f-8389-34390d1ef486 · outbound

This paper cites A constrained procrus tes problem.

A Spectral Gradient Projection Method for the Positive Semi-definite Procrustes Problem A constrained procrus tes problem

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:31.399526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:47:30.819853Z digest=sha256:50118b36b13e784f0ee95f526d8d6c8551c24b5ec51fbbd8dfc1ef8149175d6b

Observation 622aa32d-d9b6-46eb-bec3-c6554d4f9f72 · outbound

This paper cites Efficient Algorithms for Positive Semi-Definite Total Least Squares Problems, Minimum Rank Problem and Correlation Matrix Computation.

A Spectral Gradient Projection Method for the Positive Semi-definite Procrustes Problem Efficient Algorithms for Positive Semi-Definite Total Least Squares Problems, Minimum Rank Problem and Correlation Matrix Computation

Reference 2

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verified exact
local_arxiv, observed 2026-08-14T12:47:30.994168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 97e0015d-3126-4fd1-8f86-f18205788b7a · outbound

This paper cites Two-point step size g radi- ent methods.

A Spectral Gradient Projection Method for the Positive Semi-definite Procrustes Problem Two-point step size g radi- ent methods

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:31.354137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:47:30.832294Z digest=sha256:57d0e0b35d1ebd35b08fc69ed7bf48ca50f010b22197e35bf90e9beb74039463

Observation e73607ce-8155-4895-b21d-920e33f5ed6a · outbound

This paper cites Nonlinear programming.

A Spectral Gradient Projection Method for the Positive Semi-definite Procrustes Problem Nonlinear programming

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-14T12:47:30.838066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:47:30.838066Z digest=sha256:a41ea2dae3327eed8cb35cd3552ae9d41b2a6dad0754a20e2dd7fab21f0dc8d1

Observation aea0b7e2-be4d-46c2-be0b-7847f4c20ea3 · outbound

This paper cites Optimal matrices describing linear systems.

A Spectral Gradient Projection Method for the Positive Semi-definite Procrustes Problem Optimal matrices describing linear systems

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:31.313956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:47:30.845473Z digest=sha256:f6ca48593f5b9767795014b5e9de5f3963df73bee54e3ff7cddaa1f5ee8b89f7

Observation 2853603e-4c36-4083-bcf1-648c0e4e7578 · outbound

This paper cites Projected barzilai-borwein me th- ods for large-scale box-constrained quadratic programming.

A Spectral Gradient Projection Method for the Positive Semi-definite Procrustes Problem Projected barzilai-borwein me th- ods for large-scale box-constrained quadratic programming

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:31.281723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:47:30.853129Z digest=sha256:cd0aefbb217c9e4f9b434b6afddd5d5275015e6e42164cb977c6b7300722a163

Observation 66979a11-56f7-4b52-b39d-92415e1a8a10 · outbound

This paper cites Non- monotone algorithm for minimization on arbitrary domains with appli- cations to large-scale orthogonal procrustes problem.

A Spectral Gradient Projection Method for the Positive Semi-definite Procrustes Problem Non- monotone algorithm for minimization on arbitrary domains with appli- cations to large-scale orthogonal procrustes problem

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:31.247727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:47:30.860575Z digest=sha256:ea61317b82c130800a33e1f781af3ccf81597880a81e4ce788b692a73f6820ec

Observation 71105c8f-6dcd-40c9-bc0b-7b6f2cdfb35d · outbound

This paper cites A semi-analytical approach for the positive semidefinite procrustes problem.

A Spectral Gradient Projection Method for the Positive Semi-definite Procrustes Problem A semi-analytical approach for the positive semidefinite procrustes problem

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:31.222279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:47:30.866068Z digest=sha256:4d4f19861a643b481bd0cffaf0add5e941fcecfd50287f588094b0b05c987201

Observation f5ff1597-337a-496a-9aee-293658ae50a7 · outbound

This paper cites Computing a nearest symmetric positive semidefi - nite matrix.

A Spectral Gradient Projection Method for the Positive Semi-definite Procrustes Problem Computing a nearest symmetric positive semidefi - nite matrix

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:31.201586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:47:30.872102Z digest=sha256:e1899b354b1409c80f2e9f750a64408b6d316c424a6f20282da5ee45db17604e

Observation 56c9a17c-be7f-4d02-a2b8-9d2915bbad89 · outbound

This paper cites Least-squares solution of ax b= d over symmetric positive semidefinite matrices x.

A Spectral Gradient Projection Method for the Positive Semi-definite Procrustes Problem Least-squares solution of ax b= d over symmetric positive semidefinite matrices x

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:31.180753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:47:30.877673Z digest=sha256:a7c02d2515ccea762a1e3d535678228125ad94f44dcfe86b6bb487292796d293

Observation 13cb8516-ad30-4223-8afb-b11ae60d6fa9 · outbound

This paper cites Introductory lectures on convex programm ing volume i: Basic course.

A Spectral Gradient Projection Method for the Positive Semi-definite Procrustes Problem Introductory lectures on convex programm ing volume i: Basic course

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:31.159258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:47:30.885121Z digest=sha256:21aad65ec66f8fe14d84edd495c6c2a734ec370ff92efb8ef8e0faf25877f07e

Observation 22e9a87c-6538-4df4-a24e-b9604c84f7a6 · outbound

This paper cites Numerical optimization.

A Spectral Gradient Projection Method for the Positive Semi-definite Procrustes Problem Numerical optimization

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-14T12:47:30.890360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:47:30.890360Z digest=sha256:217c5aba40012deef65160956da09fd17aad3a3ecb9ce0a24063225b33a16306

Observation 87929a2a-b84e-4c72-9df9-cf5a5c5b1f80 · outbound

This paper cites The barzilai and borwein gradient method for t he large scale unconstrained minimization problem.

A Spectral Gradient Projection Method for the Positive Semi-definite Procrustes Problem The barzilai and borwein gradient method for t he large scale unconstrained minimization problem

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:31.125287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:47:30.895612Z digest=sha256:b05a1e57c0fddb3c875b88f0918961780d3ef8e255f001c7c198af12bb928081

Observation d912eacc-5cc6-43bf-90a9-381d8d974b24 · outbound

This paper cites Approximation by a hermitian positive semidefinite toeplitz matrix.

A Spectral Gradient Projection Method for the Positive Semi-definite Procrustes Problem Approximation by a hermitian positive semidefinite toeplitz matrix

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:31.104069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:47:30.903401Z digest=sha256:eef99fa0421b014343399e94aaf8b65d8410aec107f992f5591acb7508798017

Observation 119894b5-90d4-4799-8c93-d0d3566bd400 · outbound

This paper cites An inexact primal–dual path following algorithm for convex quadratic sdp.

A Spectral Gradient Projection Method for the Positive Semi-definite Procrustes Problem An inexact primal–dual path following algorithm for convex quadratic sdp

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:31.083198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:47:30.910901Z digest=sha256:d465eb791d1f2ce3f1fe5d6ac59cf768335c4b4bc179f0023829c0f73fa996b0

Observation 01bff190-387c-4fed-a576-9012ab8b8176 · outbound

This paper cites Sdpt3a matlab software package for semidefinite programming, version 1.3.

A Spectral Gradient Projection Method for the Positive Semi-definite Procrustes Problem Sdpt3a matlab software package for semidefinite programming, version 1.3

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:31.062139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:47:30.917248Z digest=sha256:3bb6a7e96587d940d0874e589978943138252499c03e38ed3edb8100db27e5c2

Observation 7ad2027d-dca9-4906-8573-b7ea0821f42b · outbound

This paper cites Least-squares solution of f= pg over positiv e semidefinite symmetric p.

A Spectral Gradient Projection Method for the Positive Semi-definite Procrustes Problem Least-squares solution of f= pg over positiv e semidefinite symmetric p

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:31.040600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:47:30.922624Z digest=sha256:636bb8e4dc9c961dc045b848b932df889b1a0230d5048e37ab29e2e7f86b2944

Observation 2b2be216-0e28-4f71-81ce-26627d13f003 · outbound

This paper cites A nonmonotone line search technique and its application to unconstrained optimization.

A Spectral Gradient Projection Method for the Positive Semi-definite Procrustes Problem A nonmonotone line search technique and its application to unconstrained optimization

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:31.018233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:47:30.929785Z digest=sha256:c12b23bac2a2800c84e780554f33f521483f94d1a3d4472e82ac484be28eeaa5

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