On Some Properties of Convex Matrix Sets Characterized byP-Matrices and BlockP-Matrices

DOI10.1080/03081080290004988zbMath1007.15012OpenAlexW2132767265MaRDI QIDQ3147570

Ludwig Elsner, Tomasz Szulc, Vladimir V. Monov

Publication date: 12 March 2003

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081080290004988

zbMATH Keywords

Schur stability\(M\)-matrices\(P\)-matricessign patternnonsingularitymatrix stabilityHurwitz stabilityblock \(P\)-matricesconvex sets of matrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Algebraic systems of matrices (15A30) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (6)

On the stability of a convex set of matrices ⋮ A practical test for assessing the reachability of discrete-time Takagi-Sugeno fuzzy systems ⋮ The bialternate matrix product revisited ⋮ Convex invertible sets and matrix sign function ⋮ Unnamed Item ⋮ Robust unknown input observer for state and fault estimation in discrete-time Takagi–Sugeno systems

Cites Work

• Convex combinations of matrices -- full rank characterization
• Generalizations of \(\mathbf P_ 0\)- and \(\mathbf P\)-properties; extended vertical and horizontal linear complementarity problems
• Block P-matrices
• Convex combinations of matrices-nonsingularity and schur stability characterizations
• On the spectrum of convex sets of matrices
• Interval P-Matrices
• Convex sets of schur stable and stable matrices
• Convex sets of nonsingular and P:–Matrices

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