Approximation of the numerical range of polynomial operator matrices

DOI10.7153/oam-2021-15-67OpenAlexW3202345810MaRDI QIDQ5072465

Ahmed Muhammad

Publication date: 28 April 2022

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2021-15-67

zbMATH Keywords

projection methodStokes operator\(q\)-numerical rangepolynomial operatorHain-lüst operator

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Dilations, extensions, compressions of linear operators (47A20) Linear operator approximation theory (47A58)

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Cites Work

• An introduction to operator polynomials
• On the estimation of the \(q\)-numerical range of monic matrix polynomials
• Approximation of the quadratic numerical range of block operator matrices
• Essential spectra of coupled systems of differential equations and applications in hydrodynamics
• Numerical Range of Matrix Polynomials
• Theq-numerical range of matrix polynomials
• Compressions and Dilations of Numerical Ranges
• On a Compression of Normal Matrix Polynomials
• On theq-numerical range of matrices and matrix polynomials
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