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线性互补问题与绝对值方程的转化
Transformation of Linear Complementarity Problem and Absolute Value Equation
【摘要】 给出线性互补问题与绝对值方程解存在的条件及线性互补问题与绝对值方程间的转化:包括无条件的转化和有条件的转化,并给出了线性互补问题与绝对值方程的求解方法.
【Abstract】 The conditions of the existence of the solutions of linear complementarity problem and absolute value equation were given.The transformations between linear complementarity problem and absolute value equation were studied,including unconditional and conditional transformations.The idea of solving linear complementarity problem or absolute value equation was presented.
【关键词】 线性互补问题;
绝对值方程;
正定矩阵;
特征值;
【Key words】 linear complementarity problem; absolute value equation; positive definite matrix; eigenvalue;
【Key words】 linear complementarity problem; absolute value equation; positive definite matrix; eigenvalue;
【基金】 国家自然科学基金(批准号:61373174;60974082);陕西省教育厅科研项目(批准号:12JK0863;11JK1066);西安电子科技大学研究生创新项目(批准号:K50513100004);陕西省汉中市科技局科研项目(批准号:2013hzzx-39)
- 【文献出处】 吉林大学学报(理学版) ,Journal of Jilin University(Science Edition) , 编辑部邮箱 ,2014年04期
- 【分类号】O221.1
- 【被引频次】16
- 【下载频次】150