| 矩阵分解的多步修正算法 |
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| 引用本文： | 白中治,童培莉.矩阵分解的多步修正算法[J].电子科技大学学报(社会科学版),1993(3). |
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| 作者姓名： | 白中治 童培莉 |
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| 作者单位： | 上海科学技术大学数学系，上海科学技术大学数学系 上海 201800，上海 201800 |
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| 摘 要： | 讨论了基于矩阵分解的多步修正算法。特别对由Jacobi矩阵的LU分解、QR分解的修正矩阵所构成的多步Newton型方法作了详细讨论。数值实验表明,这些算法的计算结果是令人满意的。
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| 关 键 词： | 非线性方程组 三角分解 正交三角分解 拟牛顿法 收敛性 |
MULTI-STEP UPDATE ALGORITHMS BASED ON THE FACTORIZATION OF JACOBIAN |
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| Bai Zhongzhi Tong Peili.MULTI-STEP UPDATE ALGORITHMS BASED ON THE FACTORIZATION OF JACOBIAN[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),1993(3). |
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| Authors: | Bai Zhongzhi Tong Peili |
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| Abstract: | This paper discusses a class of multi-step update algorithms based on the factorization of the nonlinear mapping's Jacobian. Particular research is emphasized on the multi-step update algorithm constructed by either LU or QR factorization update matrix. Numerical results show that these algorithms are satisfactory. |
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| Keywords: | system of nonlinear equations LU-factorization QR-factorization quasiNewton method convergence |
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