On the connectedness of numerical range of matrix polynomials

DOI10.1016/S0024-3795(98)00012-3zbMath0934.15029MaRDI QIDQ1808927

Panayiotis J. Psarrakos, John Maroulas

Publication date: 26 April 2000

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

zbMATH Keywords

connectednessnumerical rangematrix polynomialsdistribution of eigenvalues

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) 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 (9)

On the Numerical Range of Rational Matrix Functions ⋮ On a Compression of Normal Matrix Polynomials ⋮ Birkhoff-James approximate orthogonality sets and numerical ranges ⋮ The quadratic numerical range of an analytic operator function ⋮ On factorization of matrix polynomials ⋮ Numerical approximation of the boundary of numerical range of matrix polynomials ⋮ The numerical range of linear pencils of 2-by-2 matrices ⋮ The block numerical range of matrix polynomials ⋮ Matrix pencils with the numerical range equal to the whole complex plane

Cites Work

• Numerical range of operator pencils and Keldysh multiple completeness
• Factorization of matrix functions and characteristic properties of the circle
• The boundary of the numerical range of matrix polynomials
• Numerical Range of Matrix Polynomials
• Some results on numerical ranges and factorizations of matrix polynomials
• A Generalization of a Theorem of Bôcher
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