On a new iterative method for solving linear systems and comparison results

DOI10.1016/j.cam.2007.07.035zbMath1159.65037OpenAlexW2080556350MaRDI QIDQ939510

Yan-Fei Jing, Ting-Zhu Huang

Publication date: 22 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.cam.2007.07.035

zbMATH Keywords

convergencenumerical resultsiterative methodcomparison resultGauss-Seidel methodLinear systemsPetkov-Galerkin conditionProjection technique

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (7)

Residual iterative method for solving absolute value equations ⋮ A generalized projection iterative methods for solving non-singular linear systems ⋮ Acceleration of the scheduled relaxation Jacobi method: promising strategies for solving large, sparse linear systems ⋮ Successive projection iterative method for solving matrix equation \(AX=B\) ⋮ A generalized iterative method and comparison results using projection techniques for solving linear systems ⋮ A modification of minimal residual iterative method to solve linear systems ⋮ A simpler GMRES and its adaptive variant for shifted linear systems

Uses Software

• Matlab

Cites Work

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• Projection methods for linear systems
• A new iterative method for solving linear systems
• Preconditioning techniques for nonsymmetric and indefinite linear systems
• A projection method for solving nonsymmetric linear systems on multiprocessors
• Direct methods of solution of partial differential equations with periodic boundary conditions
• Numerical experiments with parallel orderings for ILU preconditioners
• Generating parametrizations of wing geometries using partial differential equations
• Projection method for solving a singular system of linear equations and its applications
• Row Projection Methods for Large Nonsymmetric Linear Systems
• Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations
• Orderings for Incomplete Factorization Preconditioning of Nonsymmetric Problems
• Analysis of Projection Methods for Rational Function Approximation to the Matrix Exponential
• Variable Accuracy of Matrix-Vector Products in Projection Methods for Eigencomputation
• On the preconditioning of matrices with skew-symmetric splittings

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