On non-normal matrices

DOI10.1016/0024-3795(74)90049-4zbMath0273.15018OpenAlexW1986239713MaRDI QIDQ5919196

Rainer Kress, Hans Ludwig De Vries, Rudolf Wegmann

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0024-3795(74)90049-4

Mathematics Subject Classification ID

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

Related Items

Localization of eigenvalues in elliptic regions ⋮ More bounds for eigenvalues using traces ⋮ Bounds for eigenvalues of Schatten-von Neumann operators via self-commutators ⋮ Estimates for bounds of some numerical characters of matrices ⋮ The asymptotic eigenvalue-distribution for a certain class of random matrices ⋮ Estimation of the eigenvalues and the smallest singular value of matrices ⋮ Improving bounds for eigenvalues of complex matrices using traces ⋮ Turbulence at the Lee bound: maximally non-normal vortex filaments and the decay of a local dissipation rate ⋮ A decreasing sequence of eigenvalue localization regions

Cites Work

• Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices
• Zu einer Ungleichung von Schur über die Eigenwerte einer Matrix
• Schrittweise Verbesserung einer Eingrenzung der Eigenwerte einer Matrix und der Nullstellen eines Polynoms
• Bounds for the Spectral Radius of a Matrix
• On Measures of Non-Normality for Matrices

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