JOURNAL ARTICLE
The alternate iterative Gauss-Seidel method for linear systems
Year: 2019 Journal: Journal of Physics Conference Series Vol: 1411 (1)Pages: 012008-012008 Publisher: IOP Publishing
Abstract
Abstract In this paper, we present an alternate iterative Gauss-Seidel method for linear systems. The spectral radius of the iteration matrix and the convergence of the proposed method are discussed. Finally, the numerical examples are provided to confirm our theoretical analysis and demonstrate the efficiency of the new method.
Keywords:
Gauss–Seidel method Spectral radius Iterative method Convergence (economics) Applied mathematics Mathematics Linear system Matrix (chemical analysis) Gauss Computer science Algorithm Mathematical optimization Mathematical analysis Physics Eigenvalues and eigenvectors Chemistry
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Citation History
Topics
Matrix Theory and Algorithms
Physical Sciences → Computer Science → Computational Theory and Mathematics
Advanced Optimization Algorithms Research
Physical Sciences → Mathematics → Numerical Analysis
Iterative Methods for Nonlinear Equations
Physical Sciences → Mathematics → Numerical Analysis
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