Pith. sign in

Paper Citation Record · LEDGER

Sparse Polynomial Matrix Optimization

As of 19 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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:03.984793Z digest=sha256:3d895d6a89b3c0402dd944fc52fa0dde868ff4f202e114cd62ab8a2a5dadbd51

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:03.990424Z digest=sha256:85aa0196ec6777a03c43de62f60d9381bbaf16a924bb713d67c4a996c4599131

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:03.994527Z digest=sha256:97cfd1f06825fa1fd33e712edd1d90d3f5eaeab47de83ec62e0a0f167e4e99b0

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:03.998357Z digest=sha256:6b6953768fa8e6d6e242a585758abdb9a7ad7f5c8af773412a069449fb14abdd

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.002661Z digest=sha256:3deaa1c30268036db7534cab691757b426cd542eb2d63a1f73383e17536823b4

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.006813Z digest=sha256:9493c134222f911037f18cc4cbd9b5c489266af25ae065e241eeed96c4d2d158

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.011205Z digest=sha256:4d9022cb7c13aa28115597a714f856b14ab3eb7435ada903b5bc2be086d8b628

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.014767Z digest=sha256:4e12f62c1fc48197aed199a61718b66682676f46c32f94d4b60711727ca8ccab

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.018426Z digest=sha256:8b393c78162fe3362f9f6909c41cd11a541c6e7f012459faf2a116fc646b33c5

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.022255Z digest=sha256:76a6567d4b900367e6efb9ee47419c5249036ae8194bcc897692c66a076a04a8

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.025598Z digest=sha256:a388333534c4229e47d0d278c9f83b1383cb7c5303928d4cffad4818b6e092ec

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.029792Z digest=sha256:e00f6eab76af957ee6628ac3bc7def9735901470dbbe56407a74b27fa494a43d

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.033723Z digest=sha256:b2416533099516cf1a03d228e6ad72b4ebde1a7c1babe213f974960290deb907

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.037827Z digest=sha256:32056d9f7f418a03f78365e0d0ba51802ee477a0fb25227a64f0a6361df1f891

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.041985Z digest=sha256:1545907a47d241339b385316885fbee4dc1b55152002ace68257d3f88b888ebb

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.046239Z digest=sha256:1e3627d23537dc1f6becd0fa929ab7032667a9a2135c1f83809227989b2b0c46

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.050259Z digest=sha256:c72254b750422167f6ef5f5d2f54f2b4d94d79a43f15765751e2d54c6641fdc6

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.054389Z digest=sha256:8acab2e81ed55e65e89013a804af87fedbc79000348b02e60294b742a4295b9d

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.058645Z digest=sha256:8353a5329994151f3daab2d57d9dafbabae4f78d049aa9a5dfbaf9a10075d672

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.062486Z digest=sha256:c986a00213b1a251230f6128c76c72a8f240f50e0e35764f6f67bbf00443d33b

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.066537Z digest=sha256:8312ca1c7b8eb15d63d33c176327f536ebb2750218fa8a6ef19af6ef2eebb241

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.070399Z digest=sha256:f3147bfacc22321372c103ec90b0372d5cc309abc66c16c6eef12c7aa046a9cf

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.074968Z digest=sha256:0f47ed92fd97c3dc18d4972aa86cfe8a9b7fc2df4fb75c0866cdbffec7804381

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.079089Z digest=sha256:b79d9355876292ae5249f6691a4d9b7f0828b0bd82bc4978ce4a0c221bde0788

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.082543Z digest=sha256:6c5dc1fecbdb52caa0fab88d5b2cf7dcd733b977eb591948cbf97e09ccda3dbd

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.085818Z digest=sha256:d9e2a02c3122554065e40d8b64cda6d350c88cc82798f306a6dbf26fb02ea61d

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.089151Z digest=sha256:fa9725592704bb6ce1d442bfee6e0a839803426aab26370de51dbc1b13a5159f

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.092925Z digest=sha256:74f934fdfb627111d253c60c96333dc58c50a40fea6e7b5ec384678d8790433f

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.096575Z digest=sha256:c6f1b8018ea587b70cdfebc59b27dbe62de65e1b147c2fa99175762507029565

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.100841Z digest=sha256:4a604e11cd1641130359380a129abfcc7a8b96bfbe20c7288185625526679cfc

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.105012Z digest=sha256:9089c5af5ff19527353ecc3af8d16b12b15bc01628f755bc8a5d0dfa077dd3d4

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.109342Z digest=sha256:c735d810a6cab7a5b8da953da0d43f64eabef19a9dd1f316d3aeca1b3f18b3c0

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.114039Z digest=sha256:ad3998fe17e443e0787861b73b5dd9ed38de08781aafaba5655e0ea5d52cd871

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.117935Z digest=sha256:c34058acc821952f156b5d6e3ebd6c2c7890d16f9b5665ec7ef3b1b78ef0a452

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.122079Z digest=sha256:0c808501b19d32e3388be55c4be2ef2470e317ce2b7acbcfa94ec0062e68e1dc

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.126278Z digest=sha256:49c4f0b3a2857a81ee8921828edbbdf8e61b4a176f6b484ddc0b94e0152e99b7

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.130368Z digest=sha256:20a331b0f9a7ba2340246c38d467d80504ce67e556bc877938e94369fb6bfad0

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.134551Z digest=sha256:853c3e4ccb7dc2577da0d1f076b1df23ccb091e88337eadc638ceb1d9f63ab8c

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.

source=pdf_text observed=2026-08-12T14:28:04.138674Z digest=sha256:24de5beb3aece6e3c1b330a8ac693c9cd6acac5affee52b2335eb88e3d1f500f

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 2026-08-19T06:32:44.657259+00:00.

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

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.147381Z digest=sha256:64acff00c18294dda38f27ed1ed9846af1c3e5f5195e72cc8f8b424f9b6440e9

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.152025Z digest=sha256:3be3609a84e048ff48d22c8fe3685e3aa9d87953cdd40c3143801ea5667cde45

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.155879Z digest=sha256:0cec1efe207c6487af7c1951f586eedc2ea514e897edf814eabc4bacce7e2fd3

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.159718Z digest=sha256:fff67512a339edd206d1cec3ed92356c3e66fec5d543199669414c33a8802266

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.167320Z digest=sha256:7451a05afcbd2db578b8c0708762a4cf0b231579797d70177f4ad239888ebd6e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.170991Z digest=sha256:eaef75cf21957bc0ce414219385264c6c822880a4b93b547d7e684ea52ce5173

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.174777Z digest=sha256:f3ff41f2b1815dd7c966d78dbf9233913079e6a3768b5daf9a12dacea99ed7c6

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.179069Z digest=sha256:65b8e530bad03bd3ab0175a23f8a8ca745d2d915ae41a8c6add323e440fc87ac

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.183444Z digest=sha256:15d6cb8dc8ddf64e5e7bfafcc9d35ec0456b750d7d99a35ec4a7b3ae34cecdc2

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.187311Z digest=sha256:0bac33580397ec842a9a5f1a99ee1441ffe9a615734f8f1a7b3d7783ec10e64b

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.191725Z digest=sha256:cf9569e9b6e3ee8364746fbeed136395c7c1627db2911dbdfbda279988b29309

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

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=2026-08-12T14:28:04.195366Z digest=sha256:af9a0a36a7adb7551bc40f07bf383dcca1aeea5b2eaae8874e5617a6aa0ebe07

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

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

source=pdf_text observed=2026-08-12T14:28:04.199438Z digest=sha256:604bbdd15f2c6c6f81b42c05822ce5bec069fabea0d457a95526cbe4b3eb0485

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

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=2026-08-12T14:28:04.204100Z digest=sha256:e67800722a2397cecd130c69ae37af9a388c762d3436712d395f6a79df70375b

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

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

source=pdf_text observed=2026-08-12T14:28:04.208148Z digest=sha256:01644a3796a95e6f2ba68fef8223ff73a39579279ab0a5940023c4ba84656ec4

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

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

source=pdf_text observed=2026-08-12T14:28:04.212167Z digest=sha256:42bd73c92dcbf776bcf4b29a20982619bbbeab6f363812f4ed42dfa7f5c4fd07

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.216195Z digest=sha256:5d902e67fc41259403893cf09031ce69bc0180194617b69e567d4f0092197933

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.220156Z digest=sha256:239b3496bf0a579684b1876e9d58f8e03bf31070e49a3633e3d87f3defbdf01f

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.224525Z digest=sha256:32cfeb1e6def2791f9e7ac8bef9a4da17939e0425b6953b3f53781d3cca1f214

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.228320Z digest=sha256:d34e17817174b17415058df0176bf5c3c7845d67715e76b7759f5cc6ca3b65b9

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T14:28:04.163485Z digest=sha256:951decac35610ae6910cc956df0a02a2af88d833fe2e39f9bd05a64bd23bff7b

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.

source=pdf_text observed=2026-08-09T15:34:21.141655Z digest=sha256:c2b45d452b6884ea79ae78151d59e037aad2e1f8b82ac2151a3dfd549a9ae7e4

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T11:29:35.289594Z digest=sha256:38650eabafde5f0bbec0d005963fdb5680967b85b177c1afae36d8fe86dd8cda