求解单调非线性方程组的一种全局收敛的梯度型算法

A Global Convergent Gradient Algorithm for Monotone Nonlinear Equations

提出了一种求解单调非线性方程组的梯度型算法,在适当条件下,证明了该方法具有全局收敛性。通过实例与牛顿型算法进行比较,结果表明:该方法结构简单,适合求解大型问题。

Presents a gradient algorithm for solving monotone nonlinear equations. Proves that the method has global convergence property under suitable conditions. Comparing with Newton type algorithm, numerical results show that the proposed method is simple and suitable for solving large scale problems.