Centro-symmetric and centro-skewsymmetric Toeplitz matrices and Bézoutians

DOI10.1016/S0024-3795(01)00342-1zbMath0995.15022MaRDI QIDQ1348091

Georg Heinig, Karla Rost

Publication date: 15 May 2002

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

zbMATH Keywords

inversesToeplitz matricesBézoutianscentro-symmetric and centro-skewsymmetric matricessymmetric and skewsymmetric Toeplitz matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (7)

Centrosymmetric and centro-skewsymmetric Toeplitz-plus-Hankel matrices and Bézoutians ⋮ On sequences of Toeplitz matrices over finite fields ⋮ Split algorithms for skewsymmetric Toeplitz matrices with arbitrary rank profile ⋮ Resultant matrices and inversion of Bézoutians ⋮ Chebyshev-Hankel matrices and the splitting approach for centrosymmetric Toeplitz-plus-Hankel matrices ⋮ Topics in the numerical linear algebra of Toeplitz and Hankel matrices ⋮ On the reconstruction of Toeplitz matrix inverses from columns

Cites Work

• Algebraic methods for Toeplitz-like matrices and operators
• On Bézoutians of nonsquare matrix polynomials and inversion of matrices with nonsquare blocks
• Generalized Bezoutian and the inversion problem for block matrices, I. General scheme
• Generalized Bézoutian and matrix equations
• Kernel structure of block Hankel and Toeplitz matrices and partial realization
• Matrix representations of Bezoutians
• Hartley Transform Representations of Symmetric Toeplitz Matrix Inverses with Application to Fast Matrix-Vector Multiplication
• Chebyshev-Hankel matrices and the splitting approach for centrosymmetric Toeplitz-plus-Hankel matrices

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