On invertibility of nonsquare generalized Bezoutians

DOI10.1016/0024-3795(94)00310-AzbMath0827.15028MaRDI QIDQ1894493

M. E. Shmoĭsh, Michael I. Gekhtman

Publication date: 13 December 1995

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

zbMATH Keywords

block Hankel matrixinvertibilitymatrix inversionmatrix polynomialnonsquare generalized Bezoutians

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57) Matrices over function rings in one or more variables (15A54)

Related Items (3)

On generalized spectral functions, the parametrization of block Hankel and block Jacobi matrices, and some root location problems ⋮ Inversion of a generalized block Loewner matrix, the minimal partial realization, and matrix rational interpolation problem ⋮ The truncated Hamburger matrix moment problems in the nondegenerate and degenerate cases, and matrix continued fractions

Cites Work

• Hilbert spaces of analytic functions, inverse scattering and operator models. I
• Hankel and Loewner matrices
• On symmetric rational transfer functions
• On hermitian block Hankel matrices, matrix polynomials, the Hamburger moment problem, interpolation and maximum entropy
• On Bézoutians of nonsquare matrix polynomials and inversion of matrices with nonsquare blocks
• 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
• Fast projection methods for minimal design problems in linear system theory
• Inversion of Toeplitz matrices with only two standard equations
• On generalized spectral functions, the parametrization of block Hankel and block Jacobi matrices, and some root location problems
• The theory of V-Bézoutians and its applications
• Bézoutians of polynomial matrices and their generalized inverses
• The Bezoutian and the eigenvalue-separation problem for matrix polynomials
• The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations
• Generalized Bezoutian and Sylvester matrices in multivariable linear control
• On the zeros of some continuous analogues of matrix orthogonal polynomials and a related extension problem with negative squares
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On invertibility of nonsquare generalized Bezoutians