On matrix norms and logarithmic norms
Copyright policy )On matrix norms and logarithmic norms
LetA be a complexn×n matrix, letr(A) denote the spectral radius ofA and let ?(A) denote the spectral abscissa ofA. If ? is a norm onC n , we denote by lub? the matrix norm subordinate to ? and by? ? the logarithmic norm corresponding to ?. New proofs are given for the following two relations:r(A)=inf lub? A and ?(A)=inf? ? (A), where the infimums are taken over all ellipsoidal norms ? onC n .
- DigiZeitschriften Germany
- New York University United States
- New York Institute of Technology United States
510.mathematics, Eigenvalues, singular values, and eigenvectors, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Inequalities involving eigenvalues and eigenvectors, Article
510.mathematics, Eigenvalues, singular values, and eigenvectors, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Inequalities involving eigenvalues and eigenvectors, Article
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