Higher Order Logarithmic Derivatives of Matrices in the Spectral Norm

DOI10.1137/S0895479802413662zbMath1062.15015OpenAlexW2063838717MaRDI QIDQ4650952

Rajendra Bhatia, Ludwig Elsner

Publication date: 21 February 2005

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479802413662

zbMATH Keywords

exponential functionerror boundsmatrix exponentialhigher order derivativesspectral normlogarithmic derivative

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Error bounds for numerical methods for ordinary differential equations (65L70) Matrices over function rings in one or more variables (15A54)

Related Items (4)

Perturbation bounds for Mostow's decomposition and the bipolar decomposition ⋮ Solution of the matrix eigenvalue problem \(VA+A^{*}V=\mu V\) with applications to the study of free linear dynamical systems ⋮ New upper bounds for excited vibration systems with applications of the differential calculus of norms ⋮ Two-sided bounds on some output-related quantities in linear stochastically excited vibration systems with application of the differential calculus of norms

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