Sets of matrices with common Stein solutions and \(H\)-contractions

DOI10.1016/j.laa.2003.09.016zbMath1059.15024OpenAlexW2066304277MaRDI QIDQ1826833

Yanyan Li

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.09.016

zbMATH Keywords

indefinite inner productmatrix inequalityHermitian matrixPotapov-Ginzburg transform\(H\)-contractionStein solution

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Linear operators on spaces with an indefinite metric (47B50)

Related Items (5)

Passive linear continuous-time systems: characterization through structure ⋮ A Hill-Pick matrix criterion for the Lyapunov order ⋮ The positive real lemma and construction of all realizations of generalized positive rational functions ⋮ Passive linear discrete-time systems: characterization through structure ⋮ Convex invertible cones and positive real analytic functions

Cites Work

• Inertia characteristics of self-adjoint matrix polynomials
• Inertia theory for simultaneously triangulable complex matrices
• Set of matrices with common Lyapunov solution
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