| Generalized Jacobi and Gauss-Seidel Methods for Solving Linear System of Equations |
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| 作者姓名： | Davod Khojasteh Salkuyeh |
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| 作者单位： | Department of |
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| 基金项目： | The author would like to thank the anonymous referee for his/her comments which substantially improved the quality of this paper. |
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| 摘 要： | The Jacobi and Gauss-Seidel algorithms are among the stationary iterative methods for solving linear system of equations. They are now mostly used as precondition-ers for the popular iterative solvers. In this paper a generalization of these methods are proposed and their convergence properties are studied. Some numerical experiments are given to show the efficiency of the new methods.
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| 关 键 词： | 广义Jacobi算法 广义Gauss-Seidel法 线性方程组 求解 收敛 |
| 修稿时间： | 2006-09-012006-09-19 |
Generalized Jacobi and Gauss-Seidel Methods for Solving Linear System of Equations |
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| Davod Khojasteh Salkuyeh.Generalized Jacobi and Gauss-Seidel Methods for Solving Linear System of Equations[J].Numerical Mathematics A Journal of Chinese Universities English Series,2007,16(2):164-170. |
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| Authors: | Davod Khojasteh Salkuyeh |
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| Abstract: | The Jacobi and Gauss-Seidel algorithms are among the stationary iterative methods for solving linear system of equations. They are now mostly used as precondition-ers for the popular iterative solvers. In this paper a generalization of these methods are proposed and their convergence properties are studied. Some numerical experiments are given to show the efficiency of the new methods. |
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| Keywords: | Jacobi Gauss-Seidel generalized convergence |
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