A connection between numerical ranges of selfadjoint matrix polynomials

DOI10.1080/03081089808818568zbMath0913.15018OpenAlexW2083455441MaRDI QIDQ4222260

John Maroulas, Panayiotis J. Psarrakos

Publication date: 31 May 1999

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

Full work available at URL: https://doi.org/10.1080/03081089808818568

zbMATH Keywords

matrix polynomialsjoint numerical range

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Matrices over function rings in one or more variables (15A54)

Related Items (3)

On the Numerical Range of Rational Matrix Functions ⋮ Normal and seminormal eigenvalues of matrix functions ⋮ Repeated eigenvectors and the numerical range of self-adjoint quadratic operator polynomials

Cites Work

• Numerical range of operator pencils and Keldysh multiple completeness
• Joint ranges of Hermitian matrices and simultaneous diagonalization
• Factorization of selfadjoint matrix polynomials with constant signature
• Numerical Range of Matrix Polynomials
• On the convex hull of the multiform numerical range
• Some results on numerical ranges and factorizations of matrix polynomials
• A Dilation and Norm in Several Variable Operator Theory

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