On Bézoutians of nonsquare matrix polynomials and inversion of matrices with nonsquare blocks

DOI10.1016/0024-3795(90)90132-VzbMath0706.15003MaRDI QIDQ919058

Tamir Shalom, Israel Gohberg

Publication date: 1990

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

zbMATH Keywords

matrix polynomialsmatrix inversionGohberg-Semencul formulaBézoutiangeneralized Toeplitz matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items

Displacement structure of generalized inverse matrices ⋮ The theory of V-Bézoutians and its applications ⋮ Centro-symmetric and centro-skewsymmetric Toeplitz matrices and Bézoutians ⋮ On invertibility of nonsquare generalized Bezoutians ⋮ Matrix representations of Bezoutians ⋮ A look-ahead method for computing vector Padé-Hermite approximants ⋮ Inertia theorems for matrix polynomials ⋮ A lookahead algorithm for the solution of block Toeplitz systems ⋮ On the reproducing kernel of a Pontryagin space of vector valued polynomials ⋮ Bézout and Hankel matrices associated with row reduced matrix polynomials, Barnett type formulas ⋮ Generalized inverses of Hankel and Toeplitz mosaic matrices ⋮ Unnamed Item ⋮ Inversion of a generalized block Loewner matrix, the minimal partial realization, and matrix rational interpolation problem

Cites Work

• On inversion of Toeplitz and close to Toeplitz matrices
• On inversion of block Toeplitz matrices
• Generalized Bezoutian and the inversion problem for block matrices, I. General scheme
• On inversion of square matrices partitioned into non-square blocks
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