Similarity invariants for pairs of upper triangular Toeplitz matrices

DOI10.1016/0024-3795(91)90227-NzbMath0715.15005MaRDI QIDQ752135

Harm Bart, G. Philip. A. Thijsse

Publication date: 1991

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

zbMATH Keywords

simultaneous reductioncomplementary triangularization of pairs of matricessimple matricesupper triangular nilpotent Jordan blockupper triangular Toeplitz matrices

Mathematics Subject Classification ID

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

Related Items

Upper triangular similarity of upper triangular matrices, Classes of normal matrices in indefinite inner products, Block-Diagonal Similarity and Semiscalar Equivalence of Matrices, Similarity invariants for pairs of upper triangular Toeplitz matrices

Cites Work

• Similarity invariants for pairs of upper triangular Toeplitz matrices
• Transfer functions and operator theory
• Complementary triangular forms of pairs of matrices, realizations with prescribed main matrices, and complete factorization of rational matrix functions
• Upper triangularization of matrices by lower triangular similarities
• Upper triangularization of matrices by permutations and lower triangular similarity transformations
• Simultaneous reduction to companion and triangular forms of sets of matrices
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