Simultaneous reduction to companion and triangular forms of sets of matrices
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Publication:3203158
DOI10.1080/03081089008817981zbMath0716.15011OpenAlexW2022960192MaRDI QIDQ3203158
Harm Bart, G. Philip. A. Thijsse
Publication date: 1990
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081089008817981
complex matricescompanion formsrational matrix functionscomplementary triangular formscomplete factorizationsimultaneous reduction under similarityupper triangular forms
Related Items
Pairs of companion matrices and their simultaneous reduction to complementary triangular forms, Simultaneous reduction to triangular and companion forms of pairs of matrices: The case \(rank(I-AZ)=1\), Spectral criteria for complementary triangular forms, Bilinear characterizations of companion matrices, Symmetry properties of and reduction principles for divisibility relations between the invariant factors of products of holomorphic matrix functions, Simultaneous reduction to triangular forms after extension with zeroes, Similarity invariants for pairs of upper triangular Toeplitz matrices, Companion based matrix functions: Description and minimal factorization, Factorization and job scheduling: A connection via companion based matrix functions, Quasicomplete factorization and the two machine flow shop problem
Cites Work
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- On the characteristic roots of matric polynomials