An iterative solution method for solving sparse nonsymmetric linear systems

DOI10.1016/0377-0427(86)90225-6zbMath0598.65013OpenAlexW2033745611MaRDI QIDQ1079918

G. J. Makinson, A. A. Shah

Publication date: 1986

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(86)90225-6

zbMATH Keywords

numerical examplesLanczos methodsparse linear systemsincomplete factorizationrelaxation methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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Cites Work

• Adaptive procedure for estimating parameters for the nonsymmetric Tchebychev iteration
• Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods. I, II
• Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods
• The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
• Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method
• Extrapolated Iterative Methods for Linear Systems Approximation
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• A Lanczos Method for a Class of Nonsymmetric Systems of Linear Equations
• Methods of conjugate gradients for solving linear systems
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