一组尺度化的解非线性方程组的Bro-ABS一类方法(英文)

A family of Scaling Broyden-ABS Type Methods for Soling Nonlinear Systems

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。

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.