Paper Citation Record · LEDGER

Sparse Polynomial Matrix Optimization

As of 13 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 2 inbound Pith citation observations for arXiv:2411.15479.

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

pith.paper-citation-record.v1
2411.15479 v3

Coverage vector

measured 61 of 61 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:28:04.228320Z

measured 63 of 63 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T15:34:21.141655Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T11:29:39.850153Z

Reference resolution

61 of 61 outbound references displayed

verified exact4
verified fuzzy55
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 871c98d9-d996-42b0-bb72-0c9d59cc1a3a · outbound

This paper cites AboutSections Polynomial Matrix Inequality and Semidefinite Representation,.

Sparse Polynomial Matrix Optimization AboutSections Polynomial Matrix Inequality and Semidefinite Representation,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:05.106126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9d2a1f9c-eb13-4341-a4a3-1f2da0e57b8b · outbound

This paper cites Linear matrix inequality representation of sets,.

Sparse Polynomial Matrix Optimization Linear matrix inequality representation of sets,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:05.094787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7bcd34dc-c43a-447f-b8ad-cb0269b6e9ab · outbound

This paper cites Inner Approximations for Polynomial Matrix Inequalities and Robust Stability Regions,.

Sparse Polynomial Matrix Optimization Inner Approximations for Polynomial Matrix Inequalities and Robust Stability Regions,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:05.083398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 59c271f9-728b-4b8a-8f88-ee46441a7475 · outbound

This paper cites Global optimality in minimum compliance topology optimization of frames and shells by moment-sum-of-squares hierarchy,.

Sparse Polynomial Matrix Optimization Global optimality in minimum compliance topology optimization of frames and shells by moment-sum-of-squares hierarchy,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:05.072180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5e3c81f7-12c8-4435-a417-92edf464f163 · outbound

This paper cites Frequency-domain identification of discrete-time systems using sum-of-rational optimization,.

Sparse Polynomial Matrix Optimization Frequency-domain identification of discrete-time systems using sum-of-rational optimization,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:05.060302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3c1698ae-c3ca-45e8-8439-ccfd6ad5cc4d · outbound

This paper cites Analysis of input-affine dynamical systems using parameterized robust coun- terparts,.

Sparse Polynomial Matrix Optimization Analysis of input-affine dynamical systems using parameterized robust coun- terparts,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:05.044198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2cd443cb-69ab-4d76-a7db-3ae6eb354aaf · outbound

This paper cites LMI techniques for optimization over polynomials in control: a survey,.

Sparse Polynomial Matrix Optimization LMI techniques for optimization over polynomials in control: a survey,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:05.032621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dbc46ba5-394e-44ee-9e11-5802141be77a · outbound

This paper cites Some NP-complete problems in quadratic and nonlinear programming,.

Sparse Polynomial Matrix Optimization Some NP-complete problems in quadratic and nonlinear programming,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:05.020674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 04c5a80b-0979-45f5-8c6b-a928213463df · outbound

This paper cites dReal: An SMT solver for nonlinear theories over the reals,.

Sparse Polynomial Matrix Optimization dReal: An SMT solver for nonlinear theories over the reals,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:05.009624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b85e0074-17f6-4d65-8c98-e9f81176f9b3 · outbound

This paper cites Blekherman, P.

Sparse Polynomial Matrix Optimization Blekherman, P

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.998024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 66133412-3ee4-45e0-81af-6cf0e8db3abc · outbound

This paper cites There are Significantly More Nonnegative Polynomials than Sums of Squares,.

Sparse Polynomial Matrix Optimization There are Significantly More Nonnegative Polynomials than Sums of Squares,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.986582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 14ee9632-9926-4c17-ba4c-ee89eeaad0dc · outbound

This paper cites Positive Polynomials on Compact Semi-algebraic Sets,.

Sparse Polynomial Matrix Optimization Positive Polynomials on Compact Semi-algebraic Sets,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.975487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5e295d19-52b9-4cea-9155-95991113819c · outbound

This paper cites On the Effective Putinar’s Positivstellensatz and Moment Approximation,.

Sparse Polynomial Matrix Optimization On the Effective Putinar’s Positivstellensatz and Moment Approximation,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.964292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4ec098f4-c89b-486f-ace4-e85f5ab38c5d · outbound

This paper cites Sum of squares relaxations for robust polynomial semi-definite programs,.

Sparse Polynomial Matrix Optimization Sum of squares relaxations for robust polynomial semi-definite programs,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.953201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation adc80600-f5fc-4b71-b79f-bd5ea099d895 · outbound

This paper cites Exploiting Sparsity in Complex Polynomial Optimization,.

Sparse Polynomial Matrix Optimization Exploiting Sparsity in Complex Polynomial Optimization,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.941228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation acc8cbf0-dd89-4bb3-b764-5894e6deb873 · outbound

This paper cites “Positive.

Sparse Polynomial Matrix Optimization “Positive

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.930885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a3bdc7a4-6af3-4fb4-b63c-d8a04199e1db · outbound

This paper cites Constrained Polynomial Optimization Problems with Noncommuting Variables,.

Sparse Polynomial Matrix Optimization Constrained Polynomial Optimization Problems with Noncommuting Variables,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.920598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ad0e0cd6-fc30-4b24-9748-310e1acb1dea · outbound

This paper cites Symmetry in Tur´ an sums of squares polynomials from flag algebras,.

Sparse Polynomial Matrix Optimization Symmetry in Tur´ an sums of squares polynomials from flag algebras,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.910133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c22f58a9-1107-4ba1-9a3f-a8f3df885ded · outbound

This paper cites an unresolved cited work.

Sparse Polynomial Matrix Optimization Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:28:04.900215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e692a4fe-a380-4a3e-b6b8-3a70e2aa0fa9 · outbound

This paper cites Harmonic hierarchies for polynomial optimization,.

Sparse Polynomial Matrix Optimization Harmonic hierarchies for polynomial optimization,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.889794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 195f0861-2614-4224-882c-ebed78ee4178 · outbound

This paper cites Magron and J.

Sparse Polynomial Matrix Optimization Magron and J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.877414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f3da2b5e-8caf-4c78-aa33-428c407c5aae · outbound

This paper cites Chordal and factor-width decompositions for scal- able semidefinite and polynomial optimization,.

Sparse Polynomial Matrix Optimization Chordal and factor-width decompositions for scal- able semidefinite and polynomial optimization,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.866394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4cb52c80-248f-4daa-8b68-d60b4ed8358d · outbound

This paper cites Sums of Squares and Semidefinite Program Re- laxations for Polynomial Optimization Problems with Structured Sparsity,.

Sparse Polynomial Matrix Optimization Sums of Squares and Semidefinite Program Re- laxations for Polynomial Optimization Problems with Structured Sparsity,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.855331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation eaf6cdfa-3c0e-45ec-9426-17a6cdab0044 · outbound

This paper cites TSSOS: A moment-SOS hierarchy that exploits term sparsity,.

Sparse Polynomial Matrix Optimization TSSOS: A moment-SOS hierarchy that exploits term sparsity,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.844641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 331a765e-8d3d-4d85-a601-dfee045f2bcd · outbound

This paper cites Chordal-TSSOS: a moment-SOS hierarchy that exploits term sparsity with chordal extension,.

Sparse Polynomial Matrix Optimization Chordal-TSSOS: a moment-SOS hierarchy that exploits term sparsity with chordal extension,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.833969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 46942a52-c115-48c1-a3a1-91801d621abe · outbound

This paper cites Exploiting term sparsity in noncommutative polynomial optimization,.

Sparse Polynomial Matrix Optimization Exploiting term sparsity in noncommutative polynomial optimization,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.823407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation eebd0d92-e215-443d-a47c-11680a211619 · outbound

This paper cites Extremal PSD forms with few terms,.

Sparse Polynomial Matrix Optimization Extremal PSD forms with few terms,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.812755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 07638557-e36b-435e-a545-6422af05a357 · outbound

This paper cites Symmetry groups, semidefinite programs, and sums of squares,.

Sparse Polynomial Matrix Optimization Symmetry groups, semidefinite programs, and sums of squares,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.802074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e4ce363b-9b82-44c9-aa87-dfa86c735e65 · outbound

This paper cites Pre-and post-processing sum-of-squares programs in practice,.

Sparse Polynomial Matrix Optimization Pre-and post-processing sum-of-squares programs in practice,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.790527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ed3f8723-da72-471a-8268-d259ad775bbd · outbound

This paper cites Exploiting algebraic structure in sum of squares programs,.

Sparse Polynomial Matrix Optimization Exploiting algebraic structure in sum of squares programs,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.779657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f7522583-cba0-4f8b-b33d-75e90e332c59 · outbound

This paper cites CS-TSSOS: Correlative and term sparsity for large-scale polynomial optimization,.

Sparse Polynomial Matrix Optimization CS-TSSOS: Correlative and term sparsity for large-scale polynomial optimization,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.768305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 467efbb4-2e26-4f1f-bb02-d451a30edb27 · outbound

This paper cites Exploiting Sign Symmetries in Minimizing Sums of Rational Functions.

Sparse Polynomial Matrix Optimization Exploiting Sign Symmetries in Minimizing Sums of Rational Functions

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:28:04.467807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ad31d444-8489-47b2-9342-f3b930ac6722 · outbound

This paper cites Amoebas, nonnegative polynomials and sums of squares supported on circuits,.

Sparse Polynomial Matrix Optimization Amoebas, nonnegative polynomials and sums of squares supported on circuits,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.756960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cc2661a9-b0ff-4c7e-8a00-c112cf317395 · outbound

This paper cites Relative entropy relaxations for signomial optimization,.

Sparse Polynomial Matrix Optimization Relative entropy relaxations for signomial optimization,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.745578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5eb0e78f-fcb5-4886-b319-5a179ada9de4 · outbound

This paper cites A second order cone characterization for sums of nonnegative circuits,.

Sparse Polynomial Matrix Optimization A second order cone characterization for sums of nonnegative circuits,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.733932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2f717ecc-6016-459a-ab85-6613fe12362a · outbound

This paper cites Sonc optimization and exact nonnegativity certificates via second-order cone programming,.

Sparse Polynomial Matrix Optimization Sonc optimization and exact nonnegativity certificates via second-order cone programming,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.722800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7bd03e60-ce43-42ea-a72c-0090e0bd8c48 · outbound

This paper cites Kojima,Sums of squares relaxations of polynomial semidefinite programs.

Sparse Polynomial Matrix Optimization Kojima,Sums of squares relaxations of polynomial semidefinite programs

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.711688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f40e4ade-17b3-4840-a7e1-b0a341516980 · outbound

This paper cites Convergent relaxations of polynomial matrix inequalities and static output feedback,.

Sparse Polynomial Matrix Optimization Convergent relaxations of polynomial matrix inequalities and static output feedback,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.700639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e3a70f93-1e1b-4ed6-aeef-a5d3a65411bf · outbound

This paper cites Convergence rates of S.O.S. hierarchies for polynomial semidefinite pro- grams,.

Sparse Polynomial Matrix Optimization Convergence rates of S.O.S. hierarchies for polynomial semidefinite pro- grams,

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-12T14:28:04.138674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization.

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 2026-08-13T06:32:02.005865+00:00.

Observation 88d1cb1e-428d-4db5-876c-cfa8c825b082 · outbound

This paper cites A Moment-Sum-of-Squares Hierarchy for Robust Polynomial Matrix Inequality Optimization with Sum-of-Squares Convexity,.

Sparse Polynomial Matrix Optimization A Moment-Sum-of-Squares Hierarchy for Robust Polynomial Matrix Inequality Optimization with Sum-of-Squares Convexity,

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.690493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cbe64d42-a88a-4bd1-9db4-6ced5c527896 · outbound

This paper cites Sum-of-squares chordal decomposition of polynomial matrix inequalities,.

Sparse Polynomial Matrix Optimization Sum-of-squares chordal decomposition of polynomial matrix inequalities,

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.680089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2b9f4b6a-7ede-4022-9c07-103c6d15672c · outbound

This paper cites A note on sparse SOS and SDP relaxations for polynomial optimization problems over symmetric cones,.

Sparse Polynomial Matrix Optimization A note on sparse SOS and SDP relaxations for polynomial optimization problems over symmetric cones,

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.668462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d1069753-996f-4fd0-84d0-4a9e598f712d · outbound

This paper cites Sparse polynomial optimization with matrix constraints,.

Sparse Polynomial Matrix Optimization Sparse polynomial optimization with matrix constraints,

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.656287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation aec29841-eae7-45ed-b83f-8431d5f8352e · outbound

This paper cites Exploiting sparsity in linear and nonlinear matrix inequalities via positive semidefinite matrix completion,.

Sparse Polynomial Matrix Optimization Exploiting sparsity in linear and nonlinear matrix inequalities via positive semidefinite matrix completion,

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.644190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f8320398-a256-432e-84ed-f5df12b2447d · outbound

This paper cites Term-sparse polynomial optimization for the design of frame structures.

Sparse Polynomial Matrix Optimization Term-sparse polynomial optimization for the design of frame structures

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:28:04.266616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 760e8a6a-1c5a-4dcf-8ee9-5cdd66243031 · outbound

This paper cites Matrix Sum-of-Squares Relaxations for Robust Semi-Definite Programs,.

Sparse Polynomial Matrix Optimization Matrix Sum-of-Squares Relaxations for Robust Semi-Definite Programs,

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.633136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cb69fcc2-68c1-4c19-a8f6-d18513734d30 · outbound

This paper cites Closures of Quadratic Modules,.

Sparse Polynomial Matrix Optimization Closures of Quadratic Modules,

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.622409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 61783a0e-aead-446a-9320-a2000106d1f4 · outbound

This paper cites On the complexity of Putinar’s Positivstellensatz,.

Sparse Polynomial Matrix Optimization On the complexity of Putinar’s Positivstellensatz,

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.611186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ff935272-2df8-459d-ab8f-4b5b0a75b498 · outbound

This paper cites Minimum-weight triangulation is NP-hard,.

Sparse Polynomial Matrix Optimization Minimum-weight triangulation is NP-hard,

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.600138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 60b6b5ba-c775-4297-b666-9dd66ea85645 · outbound

This paper cites Treewidth computations I. upper bounds,.

Sparse Polynomial Matrix Optimization Treewidth computations I. upper bounds,

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.588858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e8dce250-1724-4d0e-9a8c-9b2c3d04e32a · outbound

This paper cites Positive semidefinite matrices with a given sparsity pattern,.

Sparse Polynomial Matrix Optimization Positive semidefinite matrices with a given sparsity pattern,

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.577473Z

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Observation 038410cc-0785-4762-835c-1ed1491a1508 · outbound

This paper cites Positive definite completions of partial hermitian matrices,.

Sparse Polynomial Matrix Optimization Positive definite completions of partial hermitian matrices,

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.565325Z

Source-reported events for the cited work

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Observation 148fb17c-69e8-4382-af7e-05a90cb26476 · outbound

This paper cites L¨ ofberg,Block diagonalization of matrix-valued sum-of-squares programs.

Sparse Polynomial Matrix Optimization L¨ ofberg,Block diagonalization of matrix-valued sum-of-squares programs

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.552398Z

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Observation 4f40f948-5e43-48c4-bd47-8acdd74213c5 · outbound

This paper cites On matrix-valued monge–kantorovich optimal mass transport,.

Sparse Polynomial Matrix Optimization On matrix-valued monge–kantorovich optimal mass transport,

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.540556Z

Source-reported events for the cited work

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Observation 03ce3767-84ad-4d1d-995d-f2729e9a9078 · outbound

This paper cites Convergent SDP-relaxations in polynomial optimization with sparsity,.

Sparse Polynomial Matrix Optimization Convergent SDP-relaxations in polynomial optimization with sparsity,

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.528810Z

Source-reported events for the cited work

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Observation f2ad6ac1-afd7-4041-9161-ab26b8b9c37b · outbound

This paper cites A note on the representation of positive polynomials with structured sparsity,.

Sparse Polynomial Matrix Optimization A note on the representation of positive polynomials with structured sparsity,

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.516189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 44f70b3c-4da9-4dfd-8e6f-023c9de0321d · outbound

This paper cites TSSOS: a Julia library to exploit sparsity for large-scale polynomial opti- mization,.

Sparse Polynomial Matrix Optimization TSSOS: a Julia library to exploit sparsity for large-scale polynomial opti- mization,

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.504580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 370a7f9c-430c-4453-89df-fb757c2e0946 · outbound

This paper cites The Mosek Interior Point Optimizer for Linear Programming: An Implementation of the Homogeneous Algorithm,.

Sparse Polynomial Matrix Optimization The Mosek Interior Point Optimizer for Linear Programming: An Implementation of the Homogeneous Algorithm,

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.492088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 30d9f4aa-a6eb-4b04-bc03-6f65518a6ebe · outbound

This paper cites Chordal sparsity in control and optimization of large-scale systems,.

Sparse Polynomial Matrix Optimization Chordal sparsity in control and optimization of large-scale systems,

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:28:04.480640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8d83d38c-5173-4382-9fa7-95f035cdf1fc · outbound

This paper cites Available: https://arxiv.org/abs/2411.18820.

Sparse Polynomial Matrix Optimization Available: https://arxiv.org/abs/2411.18820

Reference 2024

Resolution: verified exact; raw_fallback, observed 2026-08-12T14:28:04.363953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation e3acf1b3-6652-4166-9fa1-7633f4c5fafc · inbound

Finite convergence and minimizer extraction in moment relaxations with correlative sparsity cites this paper.

Finite convergence and minimizer extraction in moment relaxations with correlative sparsity Sparse Polynomial Matrix Optimization

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-09T15:34:21.141655Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a338a1d5-daf1-428a-9198-5a3fe2964b89 · inbound

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization cites this paper.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Sparse Polynomial Matrix Optimization

Reference 18

Resolution: metadata mismatch; local_arxiv, observed 2026-08-05T11:29:39.964983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.