Joint ranges of Hermitian matrices and simultaneous diagonalization

DOI10.1016/0024-3795(91)90361-YzbMath0724.15020MaRDI QIDQ2644738

Chi-Kwong Li, Paul A. Binding

Publication date: 1991

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

zbMATH Keywords

Hermitian matricesquadratic formsinner product spacejoint spectrumsimultaneous diagonalizationHermitian operatorsjoint ranges

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21)

Related Items

H-joint numerical ranges, Some geometric results in semidefinite programming, Sets of matrices with given joint numerical range, Differential properties of the numerical range map of pairs of matrices, Simultaneous Diagonalization via Congruence of Hermitian Matrices: Some Equivalent Conditions and a Numerical Solution, C-numerical ranges andC-numerical radii, On the numerical ranges of matrices in max algebra, Joint numerical ranges and commutativity of matrices, Convexity of the joint numerical range: Topological and differential geometric viewpoints., The generalized numerical range of a set of matrices, Unnamed Item, A note on the boundary of the joint numerical range, Classification of joint numerical ranges of three Hermitian matrices of size three, Remarks on numerical ranges of operators in spaces with an indefinite metric, q-numerical ranges of normal and convex matrices, Some Results on the q-Numerical, Real higher rank numerical ranges and ellipsoids, Linear images of joint unitary orbits of Hermitian matrices, Normal and seminormal eigenvalues of matrix functions, Polynomial numerical hulls of matrix polynomials, II, A numerical investigation of the \(c\)-\textit{numerical ranges} of differential operators, A connection between numerical ranges of selfadjoint matrix polynomials, Polynomial numerical hulls of matrix polynomials, Connectivity of Quadratic Hypersurfaces and Its Applications in Optimization, Part I: General Theory

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