Normal and seminormal eigenvalues of matrix functions

DOI10.1007/BF01203175zbMath0989.15012MaRDI QIDQ5952399

Peter Lancaster, Panayiotis J. Psarrakos

Publication date: 1 August 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

numerical rangespectrummatrix functionsseminormal eigenvalue

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Matrices over function rings in one or more variables (15A54)

Related Items (12)

Birkhoff-James \(\varepsilon\)-orthogonality sets of vectors and vector-valued polynomials ⋮ On a Compression of Normal Matrix Polynomials ⋮ Birkhoff-James approximate orthogonality sets and numerical ranges ⋮ On the shell and the shell-extremal eigenvalues of a square matrix ⋮ Unnamed Item ⋮ On theq-numerical range of matrices and matrix polynomials ⋮ Numerical approximation of the boundary of numerical range of matrix polynomials ⋮ On the shape of numerical range of matrix polynomials ⋮ On the distance from a weakly normal matrix polynomial to matrix polynomials with a prescribed multiple eigenvalue ⋮ Numerical Range for the Matrix Exponential Function ⋮ Definite triples of Hermitian matrices and matrix polynomials ⋮ Repeated eigenvectors and the numerical range of self-adjoint quadratic operator polynomials

Cites Work

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• The boundary of the numerical range of matrix polynomials
• Joint ranges of Hermitian matrices and simultaneous diagonalization
• The Numerical Range of Self-Adjoint Quadratic Matrix Polynomials
• A connection between numerical ranges of selfadjoint matrix polynomials
• Numerical Range of Matrix Polynomials
• Some results on numerical ranges and factorizations of matrix polynomials

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