In this paper, we transform the problem of solving the absolute value equations (AVEs) with singular values of greater than 1 into the problem of finding the root of the system of nonlinear equation and propose a three-step algorithm for solving the system of nonlinear equation. The proposed method has the global linear convergence and the local quadratic convergence. Numerical examples show that this algorithm has high accuracy and fast convergence speed for solving the system of nonlinear equations.

中文翻译：

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求解绝对值方程的三步迭代方法

在本文中，我们变换了求解绝对值方程（AVEs）的问题 奇异值大于1的问题被引入到寻找非线性方程组的根的问题，并提出了求解非线性方程组的三步算法。该方法具有全局线性收敛性和局部二次收敛性。数值算例表明，该算法求解非线性方程组具有较高的精度和收敛速度。