Solving Matrix Inequalities whose Unknowns are Matrices

DOI10.1137/040613718zbMath1112.90058OpenAlexW2148053278MaRDI QIDQ5470242

Robert E. Skelton, Juan F. Camino, J. William Helton

Publication date: 30 May 2006

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/040613718

zbMATH Keywords

convex optimizationsemidefinite programmingmatrix inequalitiescomputer algebranoncommutative algebra

Mathematics Subject Classification ID

Semidefinite programming (90C22) Convex programming (90C25) Linear inequalities of matrices (15A39) Inequalities involving eigenvalues and eigenvectors (15A42) General systems theory (93A99)

Related Items (3)

Simplification of symbolic polynomials on non-commutative variables ⋮ Efficient Evaluation of Noncommutative Polynomials Using Tensor and Noncommutative Waring Decompositions ⋮ Free (rational) derivation

Uses Software

• SeDuMi
• SDPT3
• NCAlgebra

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