Matrix representations of Toeplitz-plus-Hankel matrix inverses

DOI10.1016/0024-3795(89)90286-3zbMath0663.15009OpenAlexW2013452717MaRDI QIDQ1114791

Georg Heinig, Karla Rost

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0024-3795(89)90286-3

zbMATH Keywords

inverse matrixmatrix representationsfundamental equationsinverses of Toeplitz-plus-Hankel matrices

Mathematics Subject Classification ID

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

Related Items (9)

Inversion of Toeplitz structured matrices using only standard equations ⋮ Matrix representations of Bezoutians ⋮ Matrix decompositions using displacement rank and classes of commutative matrix algebras ⋮ DFT representations of Toeplitz-plus-Hankel Bézoutians with application to fast matrix-vector multiplication ⋮ Matrix representations of split Bezoutians ⋮ A Fast Schur–Euclid-Type Algorithm for Quasiseparable Polynomials ⋮ Fast triangular factorization of the sum of quasi-Toeplitz and quasi- Hankel matrices ⋮ Generalized companion matrices and matrix representations for generalized Bézoutians ⋮ Displacement structure of pseudoinverses

Cites Work

• Algebraic methods for Toeplitz-like matrices and operators
• On the inverses of Toeplitz-plus-Hankel matrices
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