| 病态线性方程组新的Jacobi迭代解法 |
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| 引用本文： | 孔祥强.病态线性方程组新的Jacobi迭代解法[J].大学数学,2013(5):50-54. |
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| 作者姓名： | 孔祥强 |
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| 作者单位： | 菏泽学院数学系,山东菏泽274000 |
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| 基金项目： | 2011年山东省统计局重点课题项目（KT11048）;2011年山东省教育科学“十二五”规划重点课题项目（2011GG049） |
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| 摘 要： | 给出了解病态线性方程组的一种新的Jacobi迭代算法,并证明了算法的收敛性;通过具体算例说明了算法的实用性和有效性.
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| 关 键 词： | 迭代法 病态方程组 广义严格对角占优矩阵 |
New Jacobi Iteration Method for Solving Ill-conditioned Linear Equations |
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| KONG Xiang-qiang.New Jacobi Iteration Method for Solving Ill-conditioned Linear Equations[J].College Mathematics,2013(5):50-54. |
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| Authors: | KONG Xiang-qiang |
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| Institution: | KONG Xiang-qiang (Department of Mathematics of Heze University, Heze, Shandong 274000,China) |
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| Abstract: | A new Jacobi iteration algorithm ~or ill-conditioned linear equations was given. The convergence of the method was proved. Some numerical results were given which are compared with the classical Jacobi method. |
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| Keywords: | iteration method ill-conditioned linear equations generalized strictly diagonally dominant matrices |
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