Inversion components of block Hankel-like matrices
From MaRDI portal
Publication:1208260
DOI10.1016/0024-3795(92)90316-3zbMath0771.65014OpenAlexW2023185063MaRDI QIDQ1208260
Publication date: 16 May 1993
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(92)90316-3
complexitymatrix polynomialsmatrix inversionblock Toeplitz-like matricesblock Hankel-like matrixmatrix Berlekamp-Massey algorithmmatrix Euclidean algorithmmatrix Padé-Hermite systemsmatrix simultaneous Padé systemsvector Hankel matrices
Complexity and performance of numerical algorithms (65Y20) Direct numerical methods for linear systems and matrix inversion (65F05)
Related Items
Inversion of Toeplitz structured matrices using only standard equations ⋮ Inversion of mosaic Hankel matrices via matrix polynomial systems ⋮ A look-ahead method for computing vector Padé-Hermite approximants ⋮ Duality in vector Padé-Hermite approximation problems ⋮ Elimination ideal and bivariate resultant over finite fields ⋮ Efficient algorithms for order basis computation ⋮ Recursiveness in matrix rational interpolation problems ⋮ Schur complements of Bézoutians and the inversion of block Hankel and block Toeplitz matrices ⋮ A uniform approach for Hermite Padé and simultaneous Padé approximants and their matrix-type generalizations ⋮ Generalized inverses of Hankel and Toeplitz mosaic matrices
Cites Work
- Algebraic methods for Toeplitz-like matrices and operators
- Structure theory and fast inversion of Hankel striped matrices. I
- On the partial realization problem
- Generalized Bezoutian and the inversion problem for block matrices, I. General scheme
- A new algorithm for solving Toeplitz systems of equations
- Displacement ranks of matrices and linear equations
- Asymptotically fast solution of Toeplitz and related systems of linear equations
- A superfast algorithm for multi-dimensional Padé systems
- On the theory and computation of nonperfect Padé-Hermite approximants
- Solution of linear equations with Hankel and Toeplitz matrices
- The Inverses of Block Hankel and Block Toeplitz Matrices
- An Algorithm for the Inversion of Block Matrices of Toeplitz Form
- Vector-valued Rational Interpolants II
- An algorithm for solving discrete-time Wiener-Hopf equations based upon Euclid's algorithm
- Algebraic Computations of Scaled Padé Fractions
- Superfast Solution of Real Positive Definite Toeplitz Systems
- On recursiveness and related topics in linear systems
- Fast solution of toeplitz systems of equations and computation of Padé approximants
- A Property of Euclid’s Algorithm and an Application to Padé Approximation
- Matrix Padé Fractions and Their Computation
- An Algorithm for the Inversion of Finite Hankel Matrices
- Shift-register synthesis and BCH decoding
- Sylvester's Identity and Multistep Integer-Preserving Gaussian Elimination
- The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis
- Block Toeplitz Matrix Inversion
- Algorithms for Triangular Decomposition of Block Hankel and Toeplitz Matrices with Application to Factoring Positive Matrix Polynomials
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
