A generalization of the Kreiss matrix theorem

DOI10.1016/j.laa.2018.03.011OpenAlexW2791072647WikidataQ130095866 ScholiaQ130095866MaRDI QIDQ1747109

Samir Raouafi

Publication date: 3 May 2018

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

Full work available at URL: https://doi.org/10.1016/j.laa.2018.03.011

zbMATH Keywords

resolventMarkov functionKreiss matrix theoremFaber polynomial

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Approximation in the complex plane (30E10) Operators on Hilbert spaces (general) (47B02)

Related Items (2)

A Kreiss type inequality for rational functions on general domains ⋮ Operators with minimal pseudospectra and connections to normality

Cites Work

• Unnamed Item
• On a conjecture by LeVeque and Trefethen related to the Kreiss matrix theorem
• On the resolvent condition in the Kreiss matrix theorem
• On Faber polynomials and Faber expansions
• Error Estimates and Evaluation of Matrix Functions via the Faber Transform
• Über Die Stabilitätsdefinition Für Differenzengleichungen Die Partielle Differentialgleichungen Approximieren
• The Kreiss Matrix Theorem on a General Complex Domain
• Pseudospectra and holomorphic functions of matrices
• Functional calculus under Kreiss type conditions

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