Algebras of higher dimension for displacement decompositions and computations with Toeplitz plus Hankel matrices
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Publication:1904050
DOI10.1016/0024-3795(93)00370-FzbMath0839.15007MaRDI QIDQ1904050
Publication date: 19 June 1996
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
matrix algebrasToeplitz plus Hankel matricesdisplacement decompositionsskew circulant matricessum of products of matrices
Related Items (15)
On the eigenvalues of certain classes of normal \((T + H)\)-matrices ⋮ On algebras of Toeplitz plus Hankel matrices ⋮ Matrix displacement decompositions and applications to Toeplitz linear systems ⋮ DFT representations of Toeplitz-plus-Hankel Bézoutians with application to fast matrix-vector multiplication ⋮ \(h\)-space structure in matrix displacement formulas ⋮ On algebras having displacement structure ⋮ Classical foundations of algorithms for solving positive definite Toeplitz equations ⋮ A characterization of the Toeplitz and Hankel circulants ⋮ Toeplitz-plus-Hankel circulants are reducible to block diagonal form via unitary congruences ⋮ Topics in the numerical linear algebra of Toeplitz and Hankel matrices ⋮ Algebras closed by \(J\)-Hermitianity in displacement formulas ⋮ More on Electrostatic Models for Zeros of Orthagonal Polynomials ⋮ Algebras in matrix spaces with displacement structure ⋮ Representations of Toeplitz-plus-Hankel martrices using trigonometric transformations with application to fast matrix-vector multiplication ⋮ How to characterize \((T+H)\)-matrices and \((T+H)\)-circulants
Cites Work
- New inversion formulas for matrices classified in terms of their distance from Toeplitz matrices
- Algebraic methods for Toeplitz-like matrices and operators
- Displacement operator based decompositions of matrices using circulants or other group matrices
- Improved parallel computations with Toeplitz-like and Hankel-like matrices
- Complexity of multiplication with vectors for structured matrices
- Fast algorithms with preprocessing for matrix-vector multiplication problems
- Circulants, displacements and decompositions of matrices
- Matrix decompositions using displacement rank and classes of commutative matrix algebras
- Superfast Solution of Real Positive Definite Toeplitz Systems
- A Variant of the Gohberg–Semencul Formula Involving Circulant Matrices
- Circulant and Skewcirculant Matrices for Solving Toeplitz Matrix Problems
- Preconditioned Iterative Methods for Solving Toeplitz-Plus-Hankel Systems
- On the Use of Certain Matrix Algebras Associated with Discrete Trigonometric Transforms in Matrix Displacement Decomposition
- On a Matrix Algebra Related to the Discrete Hartley Transform
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