A note on Söderlind's conjecture

DOI10.1016/S0024-3795(02)00589-XzbMath1029.15014OpenAlexW1984780291WikidataQ123153546 ScholiaQ123153546MaRDI QIDQ1873697

Zong Ben Xu, Ji-Gen Peng

Publication date: 27 May 2003

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(02)00589-x

zbMATH Keywords

counterexamplenumerical radiusstrict stabilitylogarithmic normGerschogrin range radiuslub-Lipschitz constantSöderlind's conjecture

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Cites Work

• An error bound for fixed-point iterations
• On nonlinear difference and differential equations
• All spectral dominant norms are stable
• Bounds on nonlinear operators in finite-dimensional Banach spaces
• Power inequalities and spectral dominance of generalized matrix norms
• On the numerical radius and its applications
• The Bauer fields of values of a matrix
• Logarithmic derivative of a square matrix

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