Some extensions of Hankel and Toeplitz matrices

DOI10.1080/03081088308817542zbMath0536.15011OpenAlexW2029208529MaRDI QIDQ3320534

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Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/03081088308817542

zbMATH Keywords

inverseToeplitz matricesHankel matricescompanion matricesconjugate- ToeplitzLeslie-Toeplitz

Mathematics Subject Classification ID

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

Related Items (18)

Generalized Bezoutian and the inversion problem for block matrices, I. General scheme ⋮ Averaging operators for exponential splittings ⋮ Characterization and properties of r-Toeplitz matrices ⋮ Inversion of mosaic Hankel matrices via matrix polynomial systems ⋮ Characterizations of Bézout and Hankel-Bézout matrices ⋮ The determinating of companion matrices characterizing Toeplitz and r- Toeplitz matrices ⋮ A generalized bezoutian matrix ⋮ Inversion of conjugate-Toeplitz matrices and conjugate-Hankel matrices ⋮ A note on conjugate Toeplitz matrices ⋮ The inverse of bisymmetric matrices ⋮ Gohberg-Semencul type formula and application for the inverse of a conjugate-Toeplitz matrix involving imaginary circulant matrices ⋮ The explicit inverse of nonsingular conjugate-Toeplitz and conjugate-Hankel matrices ⋮ A Gohberg-Semencul type formula for the inverse of conjugate-Toeplitz matrix and applications ⋮ Polynomial Bézoutian matrix with respect to a general basis ⋮ Product rules for the displacement of near-Toeplitz matrices ⋮ Generating polynomials for matrices with Toeplitz or conjugate-Toeplitz inverses ⋮ Inversion of certain extensions of Toeplitz matrices ⋮ Polynomials and Hankel matrices

Cites Work

• Band matrices with Toeplitz inverses
• Displacement ranks of matrices and linear equations
• Base tensorielle des matrices de Hankel (ou de Toeplitz). Applications
• Efficient solution of a Toeplitz-plus-Hankel coefficient matrix system of equations
• Toeplitz Matrix Inversion: The Algorithm of W. F. Trench
• Unnamed Item

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