| 一组尺度化的解非线性方程组的Bro-ABS一类方法 |
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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[J].大连民族学院学报,2002,4(2):1-7. |
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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 |
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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,2002,4(2):1-7. |
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| Authors: | GE Ren-dong WANG Jin-zhi |
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| Abstract: | This paper presents a family of scaling Broyden-ABSalgorithms,where the row vertor of Jacobian is updated by a variation ofscaling Broyden's 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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