On simultaneous reduction of families of matrices to triangular or diagonal form by unitary congruences

DOI10.1080/03081088508817659zbMath0568.15007OpenAlexW2042902499MaRDI QIDQ3684234

Roger A. Horn, Yoo-Pyo Hong

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/03081088508817659

zbMATH Keywords

simultaneous reductionunitary congruencecomplex symmetricreduction to triangularunitary conjunctivity

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21)

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Cites Work

• Unnamed Item
• Sets of nearly triangular matrices
• Simultaneous triangularization of matrices—low rank cases and the nonderogatory case
• On the characteristic roots of matric polynomials
• Ein Satz Ueber Quadratische Formen Mit Komplexen Koeffizienten