Some results on numerical ranges and factorizations of matrix polynomials

DOI10.1080/03081089708818497zbMath0883.15016OpenAlexW2009668746WikidataQ114100501 ScholiaQ114100501MaRDI QIDQ4342152

Leiba Rodman, Alexander Markus

Publication date: 22 March 1998

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

Full work available at URL: https://doi.org/10.1080/03081089708818497

zbMATH Keywords

Hilbert spacenumerical rangefactorizationoperator polynomialsquadratic matrix polynomials

Mathematics Subject Classification ID

Factorization of matrices (15A23) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Matrix pencils (15A22)

Related Items (9)

On the Numerical Range of Rational Matrix Functions ⋮ Separation of roots of matrix and operator polynomials ⋮ On factorization of matrix polynomials ⋮ Normal and seminormal eigenvalues of matrix functions ⋮ On the connectedness of numerical range of matrix polynomials ⋮ Joint zero sets and ranges of several Hermitian forms over complex and quaternionic scalars ⋮ A connection between numerical ranges of selfadjoint matrix polynomials ⋮ Repeated eigenvectors and the numerical range of self-adjoint quadratic operator polynomials ⋮ Point equation of the boundary of the numerical range of a matrix polynomial

Cites Work

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• On some mathematical principles in the linear theory of damped oscillations of continua II
• Numerical Range of Matrix Polynomials

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