POS3POLY -- a MATLAB preprocessor for optimization with positive polynomials

DOI10.1007/s11081-012-9190-6zbMath1294.65070OpenAlexW1987534009MaRDI QIDQ402198

Bogdan Dumitrescu, Bogdan C. Şicleru

Publication date: 27 August 2014

Published in: Optimization and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11081-012-9190-6

zbMATH Keywords

convex optimizationfilter designpositive polynomialslibrarytrigonometric/real/hybrid polynomials

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Polynomials, rational functions in real analysis (26C99)

Related Items (1)

Modeling probability densities with sums of exponentials via polynomial approximation

Uses Software

• Matlab
• Sostools
• SeDuMi
• SDPT3
• GloptiPoly
• CVX
• YALMIP
• POS3POLY

Cites Work

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• Convex piecewise-linear fitting
• Robust \(H_{\infty}\) control for linear time-invariant systems with norm-bounded uncertainty in the input matrix
• Semidefinite programming relaxations for semialgebraic problems
• Positive hybrid real-trigonometric polynomials and applications to adjustable filter design and absolute stability analysis
• Robust envelope-constrained filter with orthonormal bases and semi-definite and semi-infinite programming
• Global Optimization with Polynomials and the Problem of Moments
• H/sub ∞/ filtering of 2-D discrete systems
• Spectral Factorizations and Sums of Squares Representations via Semidefinite Programming
• SDPT3 — A Matlab software package for semidefinite programming, Version 1.3
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Trigonometric Polynomials Positive on Frequency Domains and Applications to 2-D FIR Filter Design
• Stability test of multidimensional discrete-time systems via sum-of-squares decomposition
• Stability Region Analysis Using Polynomial and Composite Polynomial Lyapunov Functions and Sum-of-Squares Programming
• Optimal Control for Polynomial Systems Using Matrix Sum of Squares Relaxations
• Linear matrix inequality formulation of spectral mask constraints with applications to FIR filter design
• GloptiPoly
• Positive trigonometric polynomials and signal processing applications
• Optimal compaction gain by eigenvalue minimization.
• A representation theorem for certain partially ordered commutative rings

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