High, low, and quantitative roads in linear algebra

DOI10.1016/0024-3795(92)90371-GzbMath0756.15002MaRDI QIDQ1183181

Robert C. Thompson

Publication date: 28 June 1992

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

zbMATH Keywords

exponential functionSchubert calculusnumerical rangebibliographyLie algebramatricesgraphsinertiacommutatorstriangle inequalityalgebraic geometrynumber theoryHadamard-Schur productresearch expositionintegral quadratic formsfacial structure of the unit ballGerschgorin circle theoremcore linear algebramatrix valued numerical rangepower embeddings and dilationssimilarity invariants of principal submatricesspectrum of the sum of Hermitian matrices

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to linear algebra (15-02) History of linear algebra (15-03) Linear and multilinear algebra; matrix theory (15-XX)

Related Items

A counterexample connected with Geršgorin's theorem, Some aspects of the theory of norms, Invertibility of irreducible matrices, The geometry of spectral interlacing, Eigenvalue Inequalities and Schubert Calculus, A remark on commuting operator exponentials, The high road to an exponential formula., An atlas for tridiagonal isospectral manifolds, Robert C.Thompson, 1931-1995, A triangle inequality in Hilbert modules over matrix algebras, A simplified Brauer's theorem on matrix eigenvalues, The spectrum of a Hermitian matrix sum, Singular values of matrix exponentials^∗, Matrix factorizations and their perturbations

Uses Software

• Mathematica

Cites Work

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• An Extremum Property of Sums of Eigenvalues
• Erratum
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