On the reconstruction of Toeplitz matrix inverses from columns
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Publication:1611884
DOI10.1016/S0024-3795(02)00289-6zbMath1002.15002MaRDI QIDQ1611884
Publication date: 28 August 2002
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Theory of matrix inversion and generalized inverses (15A09) Inverse problems in linear algebra (15A29) Hermitian, skew-Hermitian, and related matrices (15B57) Direct numerical methods for linear systems and matrix inversion (65F05)
Related Items (16)
The inverses of block Toeplitz matrices ⋮ An approximate inverse preconditioner for Toeplitz systems with multiple right-hand sides ⋮ Inversion of conjugate-Toeplitz matrices and conjugate-Hankel matrices ⋮ The Explicit Inverses of CUPL-Toeplitz and CUPL-Hankel Matrices ⋮ A new algorithm for solving nearly penta-diagonal Toeplitz linear systems ⋮ A new Toeplitz inversion formula, stability analysis and the value ⋮ Skew cyclic displacements and decompositions of inverse matrix for an innovative structure matrix ⋮ Skew cyclic displacements and inversions of two innovative patterned matrices ⋮ A fast numerical algorithm for solving nearly penta-diagonal linear systems ⋮ The explicit inverse of nonsingular conjugate-Toeplitz and conjugate-Hankel matrices ⋮ A note on inversion of Toeplitz matrices ⋮ Cyclic displacements and decompositions of inverse matrices for CUPL Toeplitz matrices ⋮ Approximate inverse-free preconditioners for Toeplitz matrices ⋮ Improved Schur complement preconditioners for block-Toeplitz systems with small size blocks ⋮ On inversion of Toeplitz matrices ⋮ A note on the structured perturbation analysis for the inversion formula of Toeplitz matrices
Cites Work
- On inversion of Toeplitz and close to Toeplitz matrices
- Inversion of Toeplitz matrices with only two standard equations
- Centro-symmetric and centro-skewsymmetric Toeplitz matrices and Bézoutians
- On inversion of Toeplitz matrices
- On Inversion of Symmetric Toeplitz Matrices
- An Algorithm for the Inversion of Finite Toeplitz Matrices
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