Preconditioning for Nonsymmetry and Time-Dependence

DOI10.1007/978-3-319-52389-7_7zbMath1367.65045OpenAlexW2343804194MaRDI QIDQ5282896

Sean Y. Hon, Jennifer Pestana, Eleanor McDonald, Andrew J. Wathen

Publication date: 17 July 2017

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://strathprints.strath.ac.uk/56243/

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Related Items (9)

Circulant preconditioners for analytic functions of Toeplitz matrices ⋮ A block Toeplitz preconditioner for all-at-once systems from linear wave equations ⋮ A sine transform based preconditioned MINRES method for all-at-once systems from constant and variable-coefficient evolutionary PDEs ⋮ Optimal preconditioners for systems defined by functions of Toeplitz matrices ⋮ Optimal block circulant preconditioners for block Toeplitz systems with application to evolutionary PDEs ⋮ A note on parallel preconditioning for all-at-once evolutionary PDEs ⋮ Acceleration of the Two-Level MGRIT Algorithm via the Diagonalization Technique ⋮ An All-at-Once Preconditioner for Evolutionary Partial Differential Equations ⋮ On Fixed-Point, Krylov, and $2\times 2$ Block Preconditioners for Nonsymmetric Problems

Cites Work

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• Any Ritz Value Behavior Is Possible for Arnoldi and for GMRES
• A Preconditioned MINRES Method for Nonsymmetric Toeplitz Matrices
• Preconditioning
• An Algorithm for the Machine Calculation of Complex Fourier Series
• Methods of conjugate gradients for solving linear systems

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