Minimax and interlacing theorems for matrices

DOI10.1016/0024-3795(83)90211-2zbMath0522.15010OpenAlexW2034659278MaRDI QIDQ1055846

David H. Carlson

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0024-3795(83)90211-2

zbMATH Keywords

eigenvaluessingular valuessimilarity invariantsinterlacing inequalitiesprincipal submatrixCauchy interlacing theoremCourant-Fischer minimax theoremexponents of the elementary divisorsprinciple ideal domains

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45) Canonical forms, reductions, classification (15A21)

Related Items

On the interlacing property for singular values and eigenvalues, Interlacing inequalities for regular pencils, Realizations of interlacing by tree-patterned matrics, Interlacing inequalities. Matrix groups, Sub-linear capacity scaling for multi-path channel models, Generalized minimax and interlacing theorems, Generalized singular values, interlacing inequalities, and monotonic norms, Invariant factors as approximation numbers

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