Variation of Grassmann powers and spectra

DOI10.1016/0024-3795(81)90136-1zbMath0469.15004OpenAlexW2077586419MaRDI QIDQ1156844

Rajendra Bhatia, Shmuel Friedland

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0024-3795(81)90136-1

zbMATH Keywords

normeigenvalueexterior powersingular valueGrassmann powerFrechet derivative

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) Vector-valued measures and integration (46G10) Derivatives of functions in infinite-dimensional spaces (46G05) Exterior algebra, Grassmann algebras (15A75)

Related Items

Unitary invariance and spectral variation, Riemannian simplices and triangulations, Analysis of Spectral Variation and Some Inequalities, A noncommutative analogue of \(| D(X^ k)| = | kX^{k- 1}|\), Improving spectral-variation bounds with Chebyshev polynomials, On the variation of the spectra of matrix pencils, A Henrici Theorem for Joint Spectra of Commuting Matrices, Derivatives for antisymmetric tensor powers and perturbation bounds, Variation of induced linear operators, Higher order derivatives and perturbation bounds for determinants, Bounds for the variation of the roots of a polynomial and the eigenvalues of a matrix, Resolvent bounds and spectral variation, On the variation of the spectra of matrices, Variation of symmetric tensor powers and permanents, Variation of tensor powers and spectrat, An optimal bound for the spectral variation of two matrices

Cites Work

• Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices
• On the rate of change of spectra of operators
• On the rate of change of spectra of operators. II
• Variation of tensor powers and spectrat
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