A continuation method for solving symmetric Toeplitz systems

DOI10.1134/s0965542508120026OpenAlexW2092735582MaRDI QIDQ6191483

Andrey Chesnokov, Marc Van Barel, Khakim D. Ikramov

Publication date: 7 March 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/zvmmf64

zbMATH Keywords

eigenvaluescontinuation methodToeplitz matricescirculantssuperfast algorithmiterative refinement

Mathematics Subject Classification ID

Direct numerical methods for linear systems and matrix inversion (65F05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Schur complements of Bézoutians and the inversion of block Hankel and block Toeplitz matrices
• Algebraic methods for Toeplitz-like matrices and operators
• A new algorithm for solving Toeplitz systems of equations
• Displacement ranks of matrices and linear equations
• Numerical analysis for integral and related operator equations.
• A Stabilized Superfast Solver for Nonsymmetric Toeplitz Systems
• Homotopy continuation method for the numerical solutions of generalised symmetric eigenvalue problems
• An Improved Newton Iteration for the Generalized Inverse of a Matrix, with Applications
• Fast solution of toeplitz systems of equations and computation of Padé approximants
• A method for solving key equation for decoding goppa codes
• Inverses of Toeplitz Operators, Innovations, and Orthogonal Polynomials
• Introduction to Numerical Continuation Methods
• Homotopic residual correction processes