Bézoutians and intertwining matrices

DOI10.1016/0024-3795(87)90286-2zbMath0621.15015OpenAlexW2013669658MaRDI QIDQ1090385

Miroslav Fiedler, Vlastimil Pták

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90286-2

zbMATH Keywords

companion matrixHankel matrixintertwining relationBézoutiansintertwining matrix

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Conditioning of matrices (15A12)

Related Items

More on Loewner matrices, Note on roots location of a symmetric polynomial with respect to the imaginary axis, Multiplication of diagonal transforms of Loewner matrices, Loewner and Bézout matrices, On Bézoutian reduction with the Vandermonde matrix, Vandermonde factorization and canonical representations of block Hankel matrices, Some propositions on generalized Nevanlinna functions of the class \(\mathcal N_k\), Polynomial Bézoutian matrix with respect to a general basis, Bézout and Hankel matrices associated with row reduced matrix polynomials, Barnett type formulas, Bézoutian representation via Vandermonde matrices

Cites Work

• Unnamed Item
• Lyapunov, Bézout, and Hankel
• Polynomials and Hankel matrices
• Hankel matrices generated by the Markov parameters of rational functions
• Intertwining and testing matrices corresponding to a polynomial