| 一组尺度化的解非线性方程组的Bro-ABS一类方法(英文) |
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| 引用本文： | 葛仁东,王金芝.一组尺度化的解非线性方程组的Bro-ABS一类方法(英文)[J].大连民族学院学报,2002(2). |
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| 作者姓名： | 葛仁东 王金芝 |
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| 作者单位： | 大连民族学院 辽宁大连开发区116600
(葛仁东)，大连民族学院 辽宁大连开发区116600(王金芝) |
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| 摘 要： | 提出了一组尺度化的Broyden-ABS算法. 算法中Jacobian矩阵的行向量为一组可变的尺度化Broyden公式所递推,在迭代过程中,行递推一直保持Jacobian矩阵的稀疏性. 文章的最后一节,在标准假设下,证明了该方法的超线性和收敛性
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| 关 键 词： | Jacobian矩阵 对角标准矩阵 尺度化Broyden方法 ABS算法 Q-超线性收敛 |
A family of Scaling Broyden-ABS Type Methods for Soling Nonlinear Systems |
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| GE Ren-dong,WANG Jin-zhi.A family of Scaling Broyden-ABS Type Methods for Soling Nonlinear Systems[J].Journal of Dalian Nationalities University,2002(2). |
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| Authors: | GE Ren-dong WANG Jin-zhi |
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| Abstract: | s: This paper presents a family of scaling Broyden-ABS algorithms, where the row vertor of Jacobian is updated by a variation of scaling Broydens formulae. The row update still remains the sparity of Jacobian matrix in the process of iterations. Finally, the convergency of the method is proved under standard assumptions. |
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| Keywords: | Jacobian matrix diagonal scale matrix scaling Broydien method ABS algorithms Q-superlinear convergency |
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