Generalized Bézoutian and matrix equations

DOI10.1016/0024-3795(88)90129-2zbMath0635.15014OpenAlexW2043959930WikidataQ127957048 ScholiaQ127957048MaRDI QIDQ1097329

Miron Tismenetsky, Leonid Lerer

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0024-3795(88)90129-2

zbMATH Keywords

matrix polynomialslinear matrix equationsgeneralized Bézoutian

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items

Displacement structure of generalized inverse matrices, The theory of V-Bézoutians and its applications, Bezout operators for analytic operator functions. I: A general concept of Bezout operator, On inversion of hermitian block toeplitz matrices, Centro-symmetric and centro-skewsymmetric Toeplitz matrices and Bézoutians, Matrix representations of Bezoutians, Inertia theorems for matrix polynomials, A generalized bezoutian matrix, Bézoutians of rational matrix functions, matrix equations and factorizations, Stability and inertia, Some properties of solutions of Yule-Walker type equations, Spectrum separation and inertia for operator polynomials, Bézout and Hankel matrices associated with row reduced matrix polynomials, Barnett type formulas, Common eigenvalues, divisors, and multiples of matrix polynomials: A review, Generalized inverses of Hankel and Toeplitz mosaic matrices, Unnamed Item, Tensored polynomial models, Symmetric factorizations and localization of zeroes of rational matrix functions, Factored forms for solutions of \(AX-XB=C\) and \(X-AXB=C\) in companion matrices

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