| 求解一类非对称线性方程组的极小化残量法 |
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| 引用本文： | 陈金如. 求解一类非对称线性方程组的极小化残量法[J]. 南京师大学报(自然科学版), 1990, 13(4): 15-19,26 |
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| 作者姓名： | 陈金如 |
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| 作者单位： | 南京师大数学系 |
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| 摘 要： | 本文考虑系数阵的特征值正负成对出现的非对称线性方程组,对这类线性方程组,本文提出了一种基于特殊子空间的极小化残量法,它在理论上具有至多N/2步的收敛性(N为方程组的阶数),文中的数值试验验证了所得结论。
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| 关 键 词： | 线性方程组 特征值 极小化残量法 |
A MINIMAL RESIDUAL METHOD FOR SOLVING A CLASS OF UNSYMMETRIC SYSTEMS OF LINEAR EQUATIONS |
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| Chen Jinru. A MINIMAL RESIDUAL METHOD FOR SOLVING A CLASS OF UNSYMMETRIC SYSTEMS OF LINEAR EQUATIONS[J]. Journal of Nanjing Normal University(Natural Science Edition), 1990, 13(4): 15-19,26 |
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| Authors: | Chen Jinru |
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| Affiliation: | Department of Mathematics |
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| Abstract: | This paper considers a class of unsymmetric systems of linear equations, whose coefficient matrix's eigenvalues is symmetric about the origin. For solving this class of linear systems, a minimal residual method has been proposed based upon a special subspace. Theoretically, it gives thc exact solution in at most N/2 steps (N denotes the order of the systems). Several numerical experiments test our results. |
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| Keywords: | Unsymmetric Systems of lincar equations Eigenvalue Minimal residual method. |
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