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基于线性互补理论求解绝对值方程

Solving Absolute Value Equations Based on Linear Complementarity Theory
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摘要 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. 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.
出处 《常熟理工学院学报》 2012年第8期8-12,共5页 Journal of Changshu Institute of Technology
关键词 绝对值方程 线性互补问题 非光滑方程组 absolute value equation linear complementarity problems nonsmooth system of equations
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参考文献16

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