On the Reduction of a Matrix to Triangular or Diagonal Form by Consimilarity

DOI10.1137/0607010zbMath0583.15006OpenAlexW2043602727MaRDI QIDQ3708126

Roger A. Horn, Hong Yoo Pyo

Publication date: 1986

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0607010

zbMATH Keywords

canonical formsimultaneous reductionconsimilaritydiagonal formtriangular form

Mathematics Subject Classification ID

Factorization of matrices (15A23) Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21)

Related Items (9)

On the reduction of pairs of Hermitian or symmetric matrices to diagonal form by congruence ⋮ Pseudo-consimilarity and semi-consimilarity of complex matrices ⋮ A canonical form for matrices under consimilarity ⋮ Some observations on the Youla form and conjugate-normal matrices ⋮ On the conjugate product of complex polynomial matrices ⋮ A Hermitian canonical form for complex matrices under consimilarity ⋮ Consimilarity of quaternions and coneigenvalues of quaternion matrices ⋮ On j-conjugate product of quaternion polynomial matrices ⋮ A characterization of unitary congruence

Cites Work

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• On the reduction of pairs of Hermitian or symmetric matrices to diagonal form by congruence
• Koeffizientenbedingungen für schlicht abbildende meromorphe Funktionen
• On simultaneous reduction of families of matrices to triangular or diagonal form by unitary congruences
• Symplectic Geometry
• Normal Semi-Linear Transformations
• Ein Satz Ueber Quadratische Formen Mit Komplexen Koeffizienten
• On the Theory of Automorphic Functions of a Matrix Variable I-Geometrical Basis

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