Upper and lower bounds on norms of functions of matrices

DOI10.1016/j.laa.2008.06.036zbMath1155.15032OpenAlexW1967611003MaRDI QIDQ957994

Anne Greenbaum

Publication date: 2 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.06.036

zbMATH Keywords

Hardy spacefield of valuesBlaschke productpolynomial numerical hullPick-Nevanlinna interpolationnonnormal matrix

Mathematics Subject Classification ID

Related Items (5)

Linear preservers of polynomial numerical hulls of matrices ⋮ Crouzeix's conjecture and perturbed Jordan blocks ⋮ Polynomial numerical hulls of matrix polynomials, II ⋮ Linear maps preserving the polynomial numerical radius of matrices ⋮ Linear maps compressing the polynomial numerical hulls of matrices

Uses Software

• mctoolbox
• Eigtool

Cites Work

• Numerical range and functional calculus in Hilbert space
• On inverses of Vandermonde and confluent Vandermonde matrices
• The Pick interpolation theorem for finitely connected domains
• On inverses of Vandermonde and confluent Vandermonde matrices. III
• The polynomial numerical hulls of Jordan blocks and related matrices.
• Generalizations of the field of values useful in the study of polynomial functions of a matrix
• Finite Blaschke product interpolation on the closed unit disc
• Bounds for analytical functions of matrices
• Hessenberg matrices in krylov subspaces and the computation of the spectrum
• The Nevanlinna-Pick interpolation problem in multiply connected domains
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