The block numerical range of matrix polynomials

DOI10.1016/j.amc.2009.01.070zbMath1162.15304OpenAlexW2058350073MaRDI QIDQ1021644

Xin-Guo Liu, Hong-Bo Guo, Wei-Guo Wang

Publication date: 9 June 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.01.070

zbMATH Keywords

eigenvaluenumerical rangequadratic numerical rangematrix polynomialblock numerical range

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Cites Work

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• Geometrical properties of numerical range of matrix polynomials
• An estimation of the spectral radius of a product of block matrices.
• On the estimation of the \(q\)-numerical range of monic matrix polynomials
• On the connectedness of numerical range of matrix polynomials
• Bounds for eigenvalues of matrix polynomials
• The Quadratic Eigenvalue Problem
• Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
• Numerical Range of Matrix Polynomials
• The Block Numerical Range of an n × n Block Operator Matrix
• The Quadratic Numerical Range and the Location of Zeros of Polynomials
• Theq-numerical range of matrix polynomials
• On the Stability Radius of Matrix Polynomials
• A new concept for block operator matrices: The quadratic numerical range
• On the shape of numerical range of matrix polynomials

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