Norms of certain matrices with applications to variations of the spectra of matrices and matrix pencils

DOI10.1016/0024-3795(93)90500-NzbMath0770.15009MaRDI QIDQ2365667

Ren-Cang Li

Publication date: 29 June 1993

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

zbMATH Keywords

spectrumlower boundoperator normmatrix pencilssubmatrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Matrix pencils (15A22)

Related Items (13)

Perturbation bounds for eigenvalues of diagonalizable matrices and singular values ⋮ On perturbations of matrix pencils with real spectra, a revisit ⋮ Relative perturbation bounds for matrix eigenvalues and singular values ⋮ Some aspects of the theory of norms ⋮ Eigenvalues of symmetrizable matrices ⋮ On generalizing trace minimization principles. II ⋮ On perturbations of matrix pencils with real spectra. II ⋮ Equivalence constants for matrix norms: A problem of Goldberg ⋮ On Perturbations of Matrix Pencils with Real Spectra ⋮ Vandermonde matrices with Chebyshev nodes ⋮ Lower bounds for the condition number of a real confluent Vandermonde matrix ⋮ Unconditional constants and polynomial inequalities ⋮ Spectral variations and Hadamard products: Some problems

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