Special cases of a matrix exponential formula

DOI10.1016/0024-3795(88)90251-0zbMath0655.15024OpenAlexW2053944386MaRDI QIDQ1109103

Robert C. Thompson

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0024-3795(88)90251-0

zbMATH Keywords

Hermitian matricescounter exampleLie commutatorsidentities of matrix exponentialsproducts of matrix exponentials

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items

Proof of a conjectured exponential formula, More explicit formulas for the matrix exponential, Explicit formulas for the exponentials of some special matrices, High, low, and quantitative roads in linear algebra, Some open problems in matrix theory arising in linear systems and control, Products of exponentials of hermitian and complex symmetric matrices, Information-Theoretic Matrix Inequalities and Diffusion Processes on Unimodular Lie Groups, Unnamed Item, An efficient algorithm for computing the Baker–Campbell–Hausdorff series and some of its applications

Cites Work

• The behavior of eigenvalues and singular values under perturbations of restricted rank
• The Campbell-Hausdorff formula and invariant hyperfunctions
• Sums of integral matrices
• Espaces symétriques et méthode de Kashiwara-Vergne
• Perturbation of eigenvalues in U(n) by pseudo-reflections
• Invariant Factors Under Rank One Perturbations
• Unnamed Item