基于线性互补理论求解绝对值方程

摘要

Aimed at the solution to the absolute value equations,the absolute value equations can be transformed into linear complementarity problems under the condition that one is not an eigenvalue of , and then the linear complementarity problems can be reformulated as a nonsmooth system of equations. The authors of this paper find the solution to absolute value equations by solving the nonsmooth system of equations.%　　针对绝对值方程 Ax -|| x = b 的求解问题。在假设1不是矩阵 A 的特征值时，绝对值方程可转化为线性互补问题，然后将线性互补问题转换为非光滑方程组的形式进行求解，进而求得原绝对值方程的解。