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Paper Citation Record · LEDGER

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization

As of 19 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 1 inbound Pith citation observation for arXiv:2403.17241.

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

pith.paper-citation-record.v1
2403.17241 v2

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T03:16:02.607535Z

measured 47 of 47 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:28:04.143097Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T14:28:04.374891Z

Reference resolution

46 of 46 outbound references displayed

  • verified exact1
  • verified fuzzy18
  • unresolved27
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 46a19f88-d64e-4ec7-9b57-d4008ba4ea73 · outbound

This paper cites Springer, Berlin (1998).

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Springer, Berlin (1998)

Reference 1

Resolution
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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.

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Observation 6713d17a-33d7-4af3-a71f-53d67a3c76d9 · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 2

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

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Observation c98f901e-acae-41ab-8cfd-92f0103274d2 · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 3

Resolution
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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.

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Observation e56ae94b-a045-46eb-9608-2da182e1b0cc · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 4

Resolution
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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.

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Observation f8169a7f-96c5-4883-a683-df6a2ce4e16d · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 5

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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.

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Observation 3446dee2-d864-4883-a061-28aa23f31bf9 · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 6

Resolution
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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.

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Observation dc4d36d8-9e1c-48b0-b9c1-22d8af04ab38 · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 7

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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.

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Observation 0fbaf0e1-1303-4006-9e06-13713ab19541 · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 8

Resolution
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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.

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Observation 022d9df8-495e-4756-ad82-d7f4b9b8faca · outbound

This paper cites Linear Algebra Appl 648, 1-55 (2022).

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Linear Algebra Appl 648, 1-55 (2022)

Reference 9

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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.

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Observation 15869e44-808c-4a7f-83ce-a019a0759647 · outbound

This paper cites Lecture Notes in Computer Science , Vol.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Lecture Notes in Computer Science , Vol

Reference 10

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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.

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Observation b455c31d-b4e3-435a-993e-2de5162071c3 · outbound

This paper cites In Positive polynomials in control , 293.C310, Lecture Notes in Control and Inform.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization In Positive polynomials in control , 293.C310, Lecture Notes in Control and Inform

Reference 11

Resolution
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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.

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Observation 5497e9ff-fde9-4941-8285-f8d853833fa6 · outbound

This paper cites Convergent relaxations of p olynomial matrix inequalities and static output feedback.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Convergent relaxations of p olynomial matrix inequalities and static output feedback

Reference 12

Resolution
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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.

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Observation 0efc0800-0387-4f55-a720-828f83e48dac · outbound

This paper cites Inner approximations for po lynomial matrix inequalities and robust stability regions.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Inner approximations for po lynomial matrix inequalities and robust stability regions

Reference 13

Resolution
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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.

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Observation 0b3b3272-d2ab-45ab-b9ea-80c4e77116f1 · outbound

This paper cites W orld Scientific, Cam- bridge (2020) FINITE CONVERGENCE OF THE MATRIX MOMENT-SOS HIERARCHY 31.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization W orld Scientific, Cam- bridge (2020) FINITE CONVERGENCE OF THE MATRIX MOMENT-SOS HIERARCHY 31

Reference 14

Resolution
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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.

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Observation 942892f9-48bd-4924-865f-69dd05d193ad · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 15

Resolution
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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.

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Observation 64410c6d-1039-4ece-816d-bf09d7413d34 · outbound

This paper cites Optim Lett 17, 1263–1270 (2023).

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Optim Lett 17, 1263–1270 (2023)

Reference 16

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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.

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Observation 06ad3c49-dced-4c0d-93f0-4ef0d0182be4 · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 17

Resolution
unresolved
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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.

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Observation cb6eae7e-60aa-45a5-b98b-e180ce4c805d · outbound

This paper cites J Sci Comput 95, 15 (2023).

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization J Sci Comput 95, 15 (2023)

Reference 18

Resolution
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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.

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Observation c6b2cf19-5c4c-4886-94ad-47c637b5ba8f · outbound

This paper cites Finite convergence of Moment-SOS relaxations with non-real radical ideals.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Finite convergence of Moment-SOS relaxations with non-real radical ideals

Reference 19

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arxiv_id, observed 2026-05-24T03:18:49.559188Z

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.

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Observation e29e80ae-d925-4371-bed1-3b1d00868df0 · outbound

This paper cites Indiana Univ.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Indiana Univ

Reference 20

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

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Observation 2a0fe1eb-c9d2-4798-b5b6-a764453a892c · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 21

Resolution
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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.

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Observation 03204ee4-0afa-4893-a221-41be56644cb8 · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 22

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

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Observation eda683d2-5288-46ac-8c8b-7fbecc701646 · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 23

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

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Observation d63998ed-8857-4ebc-9537-f8a011de450e · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 24

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

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Observation 6155d30d-a108-4ee6-9963-078639aa0db3 · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 25

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

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Observation 49f1e0b7-1698-49f8-85cd-3e46e12fa665 · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 26

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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.

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Observation 47d37c3a-4163-42b3-b9eb-f603035e0a78 · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 27

Resolution
unresolved
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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.

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Observation 1de367db-399a-4e45-847b-d81dd93a9ada · outbound

This paper cites In: Emerging Applications of Algebraic Geometry of IMA Volumes in Mathematics and its Ap- plications, 149: 157–270.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization In: Emerging Applications of Algebraic Geometry of IMA Volumes in Mathematics and its Ap- plications, 149: 157–270

Reference 28

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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.

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Observation 8c0fccd4-7961-4c04-9178-94cf2eea6656 · outbound

This paper cites Annales de la Faculte des Sciences Toulouse 15, 599–609 (2006).

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Annales de la Faculte des Sciences Toulouse 15, 599–609 (2006)

Reference 29

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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.

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Observation c75fa388-5f08-40e6-a813-f0601db6fd89 · outbound

This paper cites American Mathematical Society, Providence (2008).

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization American Mathematical Society, Providence (2008)

Reference 30

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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.

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Observation 894d8743-65cc-4533-b649-15f58d256b01 · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-05-24T03:23:51.250676Z

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.

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Observation 874d0132-839e-4eeb-bf9c-4bbea6d98f9d · outbound

This paper cites Program., 142, 485–510 (2013).

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Program., 142, 485–510 (2013)

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T03:23:51.263397Z

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.

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Observation 24537d96-40fb-4103-871e-daf096c2613d · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-05-24T03:23:51.215098Z

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.

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Observation 2f8d6f43-4b39-49e5-843f-1201d6373a6d · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-05-24T03:23:51.294917Z

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.

source=pdf_text observed=2026-05-24T03:16:02.607535Z digest=sha256:a9864a6d0a6d772c76277c462c6625ed8090577b431b75f13e4036e6479ba44a

Observation a7a73872-d54b-48c1-a31a-6378947f4029 · outbound

This paper cites SIAM, Phi ladelphia (2023).

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization SIAM, Phi ladelphia (2023)

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T03:23:51.269185Z

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.

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Observation 53fe6edd-5497-4899-8352-e6bc0f088b30 · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-05-24T03:23:51.253974Z

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.

source=pdf_text observed=2026-05-24T03:16:02.607535Z digest=sha256:5085b9e7cf0097947b368c61e2afcb57634b8ba10945be47b1d0a8f6e122dbb7

Observation 9e97b0d6-7f7b-42ab-bb45-858719128cee · outbound

This paper cites Indiana Univ.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Indiana Univ

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T03:23:51.278830Z

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.

source=pdf_text observed=2026-05-24T03:16:02.607535Z digest=sha256:23712fe0ce12d0d0f66245003eb7cdc685ce30283c1ba052034f16cbafc96010

Observation a9922210-625d-4a81-ba95-9645081df444 · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-05-24T03:23:51.285625Z

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.

source=pdf_text observed=2026-05-24T03:16:02.607535Z digest=sha256:79806c54f56fd687a6d7b89e74ea481dbb6a529e3bcba74542d95220dd5f0a9c

Observation 7053bed4-72e2-4a08-bcb0-09c922216bfd · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-05-24T03:23:51.220772Z

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.

source=pdf_text observed=2026-05-24T03:16:02.607535Z digest=sha256:ee7f1f2ef5d441f924c423339826a8287f78ac4c5cf9d5a8cb8bc12cb43d4ce9

Observation aed2e9aa-57a0-4944-90b1-2125cc76d397 · outbound

This paper cites In: Emerging Applications of Algebraic Geometry of IMA Volumes in Mathem atics and its Applications , 149: 271–324.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization In: Emerging Applications of Algebraic Geometry of IMA Volumes in Mathem atics and its Applications , 149: 271–324

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T03:23:51.230568Z

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.

source=pdf_text observed=2026-05-24T03:16:02.607535Z digest=sha256:3957e7623089089a1c2589427e38eeed34b2d59068857063cd595ffdb794a4ab

Observation 43ef439b-1555-4dae-8a74-31e8487c8fc0 · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-05-24T03:23:51.257502Z

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.

source=pdf_text observed=2026-05-24T03:16:02.607535Z digest=sha256:b7f67b2fc3bee1c5364e0906a71bdd6bcfee92fa7ab6de257fdf0152f96cffde

Observation 923dce39-dc9b-4e87-a2c7-b1a2f5c84ec9 · outbound

This paper cites In: Emerging Applications of Algebraic Geometry of IMA Volumes in Mathematics and its Applications , 149: 325–350.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization In: Emerging Applications of Algebraic Geometry of IMA Volumes in Mathematics and its Applications , 149: 325–350

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T03:23:51.247614Z

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.

source=pdf_text observed=2026-05-24T03:16:02.607535Z digest=sha256:b979ad8919a220844185cad727375749b039d36e1377ddc7a422153989b3d06d

Observation b55cce1c-dd74-44b8-b7ba-db1b2d28c7ca · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-05-24T03:23:51.291593Z

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.

source=pdf_text observed=2026-05-24T03:16:02.607535Z digest=sha256:e7de4c334b35f3a0645f13db1f0bdab4d34d5cb9fd82fe78acbc4163ad92cbd8

Observation bcb3af45-0d1b-4c5e-b751-e0493a2e1d78 · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-05-24T03:23:51.212101Z

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.

source=pdf_text observed=2026-05-24T03:16:02.607535Z digest=sha256:7002455b44f284e5c930bceae8844330e42e4cd2dd98f14d521f9e64e9b72081

Observation 11cee317-e03e-4e5a-8cc9-b1db09d29fc3 · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-05-24T03:23:51.272035Z

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.

source=pdf_text observed=2026-05-24T03:16:02.607535Z digest=sha256:2845453ab122cf22f896fd59d0826f16fc66e08e24b4687a735278d8935028e4

Observation 576e679b-b12a-4a7a-b20f-bcd4bf35de8a · outbound

This paper cites an unresolved cited work.

Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-05-24T03:23:51.217983Z

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.

source=pdf_text observed=2026-05-24T03:16:02.607535Z digest=sha256:c19efe011bcfec7554a68679d6c99e1b7f374add01fee639a94ace30f9d5302d

Pith citing papers

Observation 6b3d9e47-5d15-47d6-87f1-c2a02f2ef946 · inbound

Sparse Polynomial Matrix Optimization cites this paper.

Sparse Polynomial Matrix Optimization Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-08-12T14:28:04.380846Z

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.

source=pdf_text observed=2026-08-12T14:28:04.143097Z digest=sha256:1157608144b4e77165c8cdec168bd26f8a3678704767f5d5676430ecf9cf5bba