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21

Maximizing Slice-Volumes of Semialgebraic Sets using Sum-of-Squares Programming
Miller, Jared ; Meroni, Chiara ; Tacchi, Matteo ; et al.

Slicing Volume Polynomial Optimization Sum-of-Squares Semidefinite Programming [MATH.MATH-AG]Mathematic... …
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22

The exact worst-case convergence rate of the alternating direction method of multipliers.
Zamani, Moslem ; Abbaszadehpeivasti, Hadi ; de Klerk, Etienne
Mathematical Programming. Nov2024, Vol. 208 Issue 1/2, p243-276. 34p.

SEMIDEFINITE programming
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23

Homotopy Methods for Convex Optimization.
Klingler, Andreas ; Netzer, Tim
SIAM Journal on Optimization. 2025, Vol. 35 Issue 3, p1498-1523. 26p.

MATHEMATICAL optimizatio... CONVEX programming SEMIDEFINITE programming GEOMETRIC programming QUADRATIC programming INTERIOR-point methods
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24

Certifying Solutions of Degenerate Semidefinite Programs.
Kolmogorov, Vladimir ; Naldi, Simone ; Zapata, Jeferson
SIAM Journal on Optimization. 2025, Vol. 35 Issue 3, p1630-1654. 25p.

FEASIBILITY studies ALGORITHMS HEURISTIC SEMIDEFINITE programming OPTIMIZATION algorithms ALGEBRAIC geometry …
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25

The Lovász Theta Function for Recovering Planted Clique Covers and Graph Colorings.
Hou, Jiaxin ; Soh, Yong Sheng ; Varvitsiotis, Antonios
SIAM Journal on Optimization. 2025, Vol. 35 Issue 3, p1873-1898. 26p.

GRAPH coloring SEMIDEFINITE programming NP-hard problems GRAPH theory COMBINATORIAL optimizati...
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26

An improved approximation algorithm for Hypergraph Max [formula omitted]-Section.
Li, Guangfeng ; Sun, Jian ; Gao, Jiaquan ; et al.
Discrete Applied Mathematics. Dec2025, Vol. 377, p102-112. 11p.

APPROXIMATION algorithms SEMIDEFINITE programming HYPERGRAPHS PERTURBATION theory APPROXIMATION error DETERMINISTIC algorithms
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27

Symmetry reduction for testing k -block-positivity via extendibility.
Chen, Qian ; Collins, Benoît ; Fawzi, Omar
Journal of Physics A: Mathematical & Theoretical. 2025, Vol. 58 Issue 48, p1-23. 23p.

SEMIDEFINITE programming QUANTUM entanglement MATHEMATICAL optimizatio... TENSOR products SYMMETRY
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28

Day-Ahead Coordinated Reactive Power Optimization Dispatching Based on Semidefinite Programming.
Xu, Binbin ; Liu, Mengqi ; Zhong, Yilin ; et al.
Energies (19961073). Oct2025, Vol. 18 Issue 20, p5469. 21p.

REACTIVE power SEMIDEFINITE programming INTEGER programming OPERATING costs OPTIMIZATION algorithms REAL variables …
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29

Optimization tools for computing colorings of [formula omitted] with few monochromatic solutions on 3-variable linear equations.
De Loera, Jesús A. ; Ventura, Denae ; Wang, Liuyue ; et al.
Discrete Applied Mathematics. Oct2025, Vol. 373, p159-178. 20p.

RAMSEY theory SEMIDEFINITE programming LINEAR equations ARITHMETIC MATHEMATICAL optimizatio... RAMSEY numbers
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30

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization
Handa, Marouan ; Tyburec, Marek ; Fantuzzi, Giovanni ; et al.

Structural optimization Semidefinite programming Polynomial matrix inequa... Polynomial optimization Arrow decomposition [MATH.MATH-OC]Mathematic... …
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31

New lower bounds on crossing numbers of Km,n from semidefinite programming.
Brosch, Daniel ; C. Polak, Sven
Mathematical Programming. Sep2024, Vol. 207 Issue 1/2, p693-715. 23p.

MATHEMATICS SEMIDEFINITE programming MATRICES (Mathematics) COMPLETE graphs SYMMETRY BIPARTITE graphs
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32

State polynomials: positivity, optimization and nonlinear Bell inequalities.
Klep, Igor ; Magron, Victor ; Volčič, Jurij ; et al.
Mathematical Programming. Sep2024, Vol. 207 Issue 1/2, p645-691. 47p.

BELL'S theorem SEMIDEFINITE programming CONDITIONAL expectations ALGEBRAIC geometry OPERATOR theory BIPARTITE graphs
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33

Optimum designs for clinical trials in personalized medicine when response variance depends on treatment.
Duarte, Belmiro P. M. ; Atkinson, Anthony C.
Journal of Biopharmaceutical Statistics. Sep2024, p1-18. 18p. 2 Illustrations.

SEMIDEFINITE programming INDIVIDUALIZED medicine CLINICAL trials THERAPEUTICS GENERALIZATION
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34

Solving a class of robust vector rational optimization problems.
Huang, Jian ; Jiao, Liguo ; Lee, Jae Hyoung ; et al.
Annals of Operations Research. Nov2025, p1-24.

UNCERTAINTY (Information... ROBUST optimization SEMIDEFINITE programming MULTI-objective optimiza... OPTIMIZATION algorithms
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35

An overview and comparison of spectral bundle methods for primal and dual semidefinite programs.
Liao, Feng-Yi ; Ding, Lijun ; Zheng, Yang
Computational Optimization & Applications. Oct2025, p1-44.

MATHEMATICAL optimizatio... EMPIRICAL research ALGORITHMS PROBLEM solving SEMIDEFINITE programming
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36

Getting to the root of the problem: sums of squares for limits of trees.
Brosch, Daniel ; Puges, Diane
Mathematical Programming. Dec2025, p1-57.

GRAPH theory SEMIDEFINITE programming PHYLOGENY
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37

A hierarchy of convex relaxations for the total variation distance.
Lasserre, Jean B.
Mathematical Programming. Oct2025, p1-21.

MATHEMATICAL statistics QUANTITATIVE research SEMIDEFINITE programming CONVEX programming CARLEMAN theorem
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38

Strong global convergence properties of algorithms for nonlinear symmetric cone programming.
Andreani, R. ; Haeser, G. ; Ramos, A. ; et al.
Computational Optimization & Applications. Jun2025, Vol. 91 Issue 2, p397-421. 25p.

NONLINEAR programming INTERIOR-point methods SEMIDEFINITE programming LAGRANGIAN points CONES
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39

Quadratic convex reformulations for a class of complex quadratic programming problems: Quadratic convex reformulations...: C. Lu et al.
Lu, Cheng ; Kang, Gaojian ; Qu, Guangtai ; et al.
Computational Optimization & Applications. May2025, Vol. 91 Issue 1, p125-144. 20p.

SEMIDEFINITE programming QUADRATIC programming ARGUMENT
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40

Proximal-stabilized semidefinite programming.
Cipolla, Stefano ; Gondzio, Jacek
Computational Optimization & Applications. Jun2025, Vol. 91 Issue 2, p573-616. 44p.

SEMIDEFINITE programming
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