In this paper, we transform the problem of solving the absolute value equations (AVEs) Ax?x=b with singular values of A 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.
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机译：在本文中，我们改变了求解绝对值方程（AVES）斧头的问题（AVES）x x = B，以大于1的奇异值进入找到非线性方程系统的根源的问题，并提出了一种三步算法用于求解非线性方程系统。该方法具有全局线性收敛和局部二次收敛。数值示例表明，该算法具有高精度和快速收敛速度，用于解决非线性方程系统。
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