Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T14:28:04.228320Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T14:28:04.228320Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-09T15:34:21.141655Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-05T11:29:39.850153Z
61 of 61 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 871c98d9-d996-42b0-bb72-0c9d59cc1a3a · outbound
Sparse Polynomial Matrix Optimization AboutSections Polynomial Matrix Inequality and Semidefinite Representation,
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9d2a1f9c-eb13-4341-a4a3-1f2da0e57b8b · outbound
Sparse Polynomial Matrix Optimization Linear matrix inequality representation of sets,
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7bcd34dc-c43a-447f-b8ad-cb0269b6e9ab · outbound
Sparse Polynomial Matrix Optimization Inner Approximations for Polynomial Matrix Inequalities and Robust Stability Regions,
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 59c271f9-728b-4b8a-8f88-ee46441a7475 · outbound
Sparse Polynomial Matrix Optimization Global optimality in minimum compliance topology optimization of frames and shells by moment-sum-of-squares hierarchy,
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5e3c81f7-12c8-4435-a417-92edf464f163 · outbound
Sparse Polynomial Matrix Optimization Frequency-domain identification of discrete-time systems using sum-of-rational optimization,
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3c1698ae-c3ca-45e8-8439-ccfd6ad5cc4d · outbound
Sparse Polynomial Matrix Optimization Analysis of input-affine dynamical systems using parameterized robust coun- terparts,
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2cd443cb-69ab-4d76-a7db-3ae6eb354aaf · outbound
Sparse Polynomial Matrix Optimization LMI techniques for optimization over polynomials in control: a survey,
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation dbc46ba5-394e-44ee-9e11-5802141be77a · outbound
Sparse Polynomial Matrix Optimization Some NP-complete problems in quadratic and nonlinear programming,
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 04c5a80b-0979-45f5-8c6b-a928213463df · outbound
Sparse Polynomial Matrix Optimization dReal: An SMT solver for nonlinear theories over the reals,
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b85e0074-17f6-4d65-8c98-e9f81176f9b3 · outbound
Sparse Polynomial Matrix Optimization Blekherman, P
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 66133412-3ee4-45e0-81af-6cf0e8db3abc · outbound
Sparse Polynomial Matrix Optimization There are Significantly More Nonnegative Polynomials than Sums of Squares,
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 14ee9632-9926-4c17-ba4c-ee89eeaad0dc · outbound
Sparse Polynomial Matrix Optimization Positive Polynomials on Compact Semi-algebraic Sets,
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5e295d19-52b9-4cea-9155-95991113819c · outbound
Sparse Polynomial Matrix Optimization On the Effective Putinar’s Positivstellensatz and Moment Approximation,
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4ec098f4-c89b-486f-ace4-e85f5ab38c5d · outbound
Sparse Polynomial Matrix Optimization Sum of squares relaxations for robust polynomial semi-definite programs,
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation adc80600-f5fc-4b71-b79f-bd5ea099d895 · outbound
Sparse Polynomial Matrix Optimization Exploiting Sparsity in Complex Polynomial Optimization,
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation acc8cbf0-dd89-4bb3-b764-5894e6deb873 · outbound
Sparse Polynomial Matrix Optimization “Positive
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a3bdc7a4-6af3-4fb4-b63c-d8a04199e1db · outbound
Sparse Polynomial Matrix Optimization Constrained Polynomial Optimization Problems with Noncommuting Variables,
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ad0e0cd6-fc30-4b24-9748-310e1acb1dea · outbound
Sparse Polynomial Matrix Optimization Symmetry in Tur´ an sums of squares polynomials from flag algebras,
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c22f58a9-1107-4ba1-9a3f-a8f3df885ded · outbound
Sparse Polynomial Matrix Optimization Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e692a4fe-a380-4a3e-b6b8-3a70e2aa0fa9 · outbound
Sparse Polynomial Matrix Optimization Harmonic hierarchies for polynomial optimization,
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 195f0861-2614-4224-882c-ebed78ee4178 · outbound
Sparse Polynomial Matrix Optimization Magron and J
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f3da2b5e-8caf-4c78-aa33-428c407c5aae · outbound
Sparse Polynomial Matrix Optimization Chordal and factor-width decompositions for scal- able semidefinite and polynomial optimization,
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4cb52c80-248f-4daa-8b68-d60b4ed8358d · outbound
Sparse Polynomial Matrix Optimization Sums of Squares and Semidefinite Program Re- laxations for Polynomial Optimization Problems with Structured Sparsity,
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation eaf6cdfa-3c0e-45ec-9426-17a6cdab0044 · outbound
Sparse Polynomial Matrix Optimization TSSOS: A moment-SOS hierarchy that exploits term sparsity,
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 331a765e-8d3d-4d85-a601-dfee045f2bcd · outbound
Sparse Polynomial Matrix Optimization Chordal-TSSOS: a moment-SOS hierarchy that exploits term sparsity with chordal extension,
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 46942a52-c115-48c1-a3a1-91801d621abe · outbound
Sparse Polynomial Matrix Optimization Exploiting term sparsity in noncommutative polynomial optimization,
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation eebd0d92-e215-443d-a47c-11680a211619 · outbound
Sparse Polynomial Matrix Optimization Extremal PSD forms with few terms,
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 07638557-e36b-435e-a545-6422af05a357 · outbound
Sparse Polynomial Matrix Optimization Symmetry groups, semidefinite programs, and sums of squares,
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e4ce363b-9b82-44c9-aa87-dfa86c735e65 · outbound
Sparse Polynomial Matrix Optimization Pre-and post-processing sum-of-squares programs in practice,
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ed3f8723-da72-471a-8268-d259ad775bbd · outbound
Sparse Polynomial Matrix Optimization Exploiting algebraic structure in sum of squares programs,
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f7522583-cba0-4f8b-b33d-75e90e332c59 · outbound
Sparse Polynomial Matrix Optimization CS-TSSOS: Correlative and term sparsity for large-scale polynomial optimization,
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 467efbb4-2e26-4f1f-bb02-d451a30edb27 · outbound
Sparse Polynomial Matrix Optimization Exploiting Sign Symmetries in Minimizing Sums of Rational Functions
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ad31d444-8489-47b2-9342-f3b930ac6722 · outbound
Sparse Polynomial Matrix Optimization Amoebas, nonnegative polynomials and sums of squares supported on circuits,
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cc2661a9-b0ff-4c7e-8a00-c112cf317395 · outbound
Sparse Polynomial Matrix Optimization Relative entropy relaxations for signomial optimization,
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5eb0e78f-fcb5-4886-b319-5a179ada9de4 · outbound
Sparse Polynomial Matrix Optimization A second order cone characterization for sums of nonnegative circuits,
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2f717ecc-6016-459a-ab85-6613fe12362a · outbound
Sparse Polynomial Matrix Optimization Sonc optimization and exact nonnegativity certificates via second-order cone programming,
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7bd03e60-ce43-42ea-a72c-0090e0bd8c48 · outbound
Sparse Polynomial Matrix Optimization Kojima,Sums of squares relaxations of polynomial semidefinite programs
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f40e4ade-17b3-4840-a7e1-b0a341516980 · outbound
Sparse Polynomial Matrix Optimization Convergent relaxations of polynomial matrix inequalities and static output feedback,
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e3a70f93-1e1b-4ed6-aeef-a5d3a65411bf · outbound
Sparse Polynomial Matrix Optimization Convergence rates of S.O.S. hierarchies for polynomial semidefinite pro- grams,
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6b3d9e47-5d15-47d6-87f1-c2a02f2ef946 · outbound
Sparse Polynomial Matrix Optimization Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 88d1cb1e-428d-4db5-876c-cfa8c825b082 · outbound
Sparse Polynomial Matrix Optimization A Moment-Sum-of-Squares Hierarchy for Robust Polynomial Matrix Inequality Optimization with Sum-of-Squares Convexity,
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cbe64d42-a88a-4bd1-9db4-6ced5c527896 · outbound
Sparse Polynomial Matrix Optimization Sum-of-squares chordal decomposition of polynomial matrix inequalities,
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2b9f4b6a-7ede-4022-9c07-103c6d15672c · outbound
Sparse Polynomial Matrix Optimization A note on sparse SOS and SDP relaxations for polynomial optimization problems over symmetric cones,
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d1069753-996f-4fd0-84d0-4a9e598f712d · outbound
Sparse Polynomial Matrix Optimization Sparse polynomial optimization with matrix constraints,
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation aec29841-eae7-45ed-b83f-8431d5f8352e · outbound
Sparse Polynomial Matrix Optimization Exploiting sparsity in linear and nonlinear matrix inequalities via positive semidefinite matrix completion,
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f8320398-a256-432e-84ed-f5df12b2447d · outbound
Sparse Polynomial Matrix Optimization Term-sparse polynomial optimization for the design of frame structures
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 760e8a6a-1c5a-4dcf-8ee9-5cdd66243031 · outbound
Sparse Polynomial Matrix Optimization Matrix Sum-of-Squares Relaxations for Robust Semi-Definite Programs,
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cb69fcc2-68c1-4c19-a8f6-d18513734d30 · outbound
Sparse Polynomial Matrix Optimization Closures of Quadratic Modules,
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 61783a0e-aead-446a-9320-a2000106d1f4 · outbound
Sparse Polynomial Matrix Optimization On the complexity of Putinar’s Positivstellensatz,
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ff935272-2df8-459d-ab8f-4b5b0a75b498 · outbound
Sparse Polynomial Matrix Optimization Minimum-weight triangulation is NP-hard,
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 60b6b5ba-c775-4297-b666-9dd66ea85645 · outbound
Sparse Polynomial Matrix Optimization Treewidth computations I. upper bounds,
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e8dce250-1724-4d0e-9a8c-9b2c3d04e32a · outbound
Sparse Polynomial Matrix Optimization Positive semidefinite matrices with a given sparsity pattern,
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 038410cc-0785-4762-835c-1ed1491a1508 · outbound
Sparse Polynomial Matrix Optimization Positive definite completions of partial hermitian matrices,
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 148fb17c-69e8-4382-af7e-05a90cb26476 · outbound
Sparse Polynomial Matrix Optimization L¨ ofberg,Block diagonalization of matrix-valued sum-of-squares programs
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4f40f948-5e43-48c4-bd47-8acdd74213c5 · outbound
Sparse Polynomial Matrix Optimization On matrix-valued monge–kantorovich optimal mass transport,
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 03ce3767-84ad-4d1d-995d-f2729e9a9078 · outbound
Sparse Polynomial Matrix Optimization Convergent SDP-relaxations in polynomial optimization with sparsity,
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f2ad6ac1-afd7-4041-9161-ab26b8b9c37b · outbound
Sparse Polynomial Matrix Optimization A note on the representation of positive polynomials with structured sparsity,
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 44f70b3c-4da9-4dfd-8e6f-023c9de0321d · outbound
Sparse Polynomial Matrix Optimization TSSOS: a Julia library to exploit sparsity for large-scale polynomial opti- mization,
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 370a7f9c-430c-4453-89df-fb757c2e0946 · outbound
Sparse Polynomial Matrix Optimization The Mosek Interior Point Optimizer for Linear Programming: An Implementation of the Homogeneous Algorithm,
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 30d9f4aa-a6eb-4b04-bc03-6f65518a6ebe · outbound
Sparse Polynomial Matrix Optimization Chordal sparsity in control and optimization of large-scale systems,
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8d83d38c-5173-4382-9fa7-95f035cdf1fc · outbound
Sparse Polynomial Matrix Optimization Available: https://arxiv.org/abs/2411.18820
Reference 2024
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e3acf1b3-6652-4166-9fa1-7633f4c5fafc · inbound
Finite convergence and minimizer extraction in moment relaxations with correlative sparsity Sparse Polynomial Matrix Optimization
Reference 16
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 Sparse Polynomial Matrix Optimization
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.