Constrained minimax approximation and optimal preconditioners for Toeplitz matrices

DOI10.1007/BF02109196zbMath0791.65029MaRDI QIDQ1315215

Ping Tak Peter Tang, Raymond Honfu Chan

Publication date: 29 June 1994

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

numerical examplesToeplitz matricesRemez algorithmoptimal preconditionersconstrained minimax approximation

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (5)

An approximate inverse preconditioner for Toeplitz systems with multiple right-hand sides ⋮ BTTB preconditioners for BTTB least squares problems ⋮ An explicit formula for the inverse of band triangular Toeplitz matrix ⋮ New preconditioners for systems of linear equations with Toeplitz structure ⋮ A short survey on preconditioners and Korovkin-type theorems

Cites Work

• Parallel Algorithms for Banded Linear Systems
• A Fast Algorithm for Linear Complex Chebyshev Approximations
• Stability of Methods for Solving Toeplitz Systems of Equations
• A Proposal for Toeplitz Matrix Calculations
• An Optimal Circulant Preconditioner for Toeplitz Systems
• Superfast Solution of Real Positive Definite Toeplitz Systems
• Toeplitz Equations by Conjugate Gradients with Circulant Preconditioner
• Circulant Preconditioners for Toeplitz Matrices with Positive continuous Generating Functions
• An algorithm of successive minimization in convex programming
• Fast Iterative Solvers for Toeplitz-Plus-Band Systems
• An Algorithm for the Inversion of Finite Toeplitz Matrices
• Unnamed Item

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