GpoSolver: a Matlab/C++ toolbox for global polynomial optimization

DOI10.1080/10556788.2015.1121489zbMath1342.90145OpenAlexW2296543004MaRDI QIDQ2815514

Tomáš Pajdla, Jan Heller

Publication date: 29 June 2016

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556788.2015.1121489

zbMATH Keywords

linear matrix inequalitiessemidefinite programming relaxationsglobal polynomial optimizationpolynomial matrix inequalities

Mathematics Subject Classification ID

Semidefinite programming (90C22) Nonconvex programming, global optimization (90C26)

Related Items (5)

A Search Algorithm for the Global Extremum of a Discontinuous Function ⋮ Sum-of-Squares Optimization without Semidefinite Programming ⋮ Solving 2D heat transfer problems with the aid of a BEM-isogeometric solver ⋮ A mixed PI/VI design method for nonlinear H_∞ Control ⋮ Fitting thermodynamic-based models: incorporating parameter sensitivity improves the performance of an evolutionary algorithm

Uses Software

• Matlab
• GloptiPoly
• YALMIP
• GpoSolver

Cites Work

• First order conditions for semidefinite representations of convex sets defined by rational or singular polynomials
• Semidefinite programming relaxations for semialgebraic problems
• Certifying convergence of Lasserre's hierarchy via flat truncation
• Global Optimization with Polynomials and the Problem of Moments
• Algorithm 950
• NLCertify: A Tool for Formal Nonlinear Optimization
• On the Generation of Positivstellensatz Witnesses in Degenerate Cases
• GloptiPoly 3: moments, optimization and semidefinite programming
• Some NP-complete problems in quadratic and nonlinear programming
• CSDP, A C library for semidefinite programming
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Detecting Global Optimality and Extracting Solutions in GloptiPoly
• The truncated complex $K$-moment problem
• LMI Techniques for Optimization Over Polynomials in Control: A Survey
• Convergent Relaxations of Polynomial Matrix Inequalities and Static Output Feedback
• PRICING A CLASS OF EXOTIC OPTIONS VIA MOMENTS AND SDP RELAXATIONS
• GloptiPoly
• Sums of Squares and Semidefinite Program Relaxations for Polynomial Optimization Problems with Structured Sparsity

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