绝对值方程的光滑牛顿算法  

Smooth Newton method for absolute value equations

作　　者：邓永坤[1] 张萍[1] 

机构地区：[1]中国矿业大学理学院,江苏徐州221116

出　　处：《黑龙江科技学院学报》2011年第6期499-502,共4页Journal of Heilongjiang Institute of Science and Technology

摘　　要：针对绝对值方程Ax+B x=b的求解问题,给出了光滑牛顿法。通过引进极大熵函数将绝对值方程进行光滑化处理,进而转化为非线性光滑方程组,利用光滑牛顿算法对其进行求解,并对算法的收敛性和收敛速度进行了验证。数值实验结果表明该算法是有效的。Aimed at the solution to the absolute value equation Ax＋Bx=b,this paper presents a smooth Newton method.By using the maximum entropy function,absolute value equations problem could be transformed into the nonlinear smooth equations.Then the smooth Newton method is proposed for solving the absolute value equations and its convergence and convergent rate are proved.Numerical results indicate that the method is effective.

关 键 词：绝对值方程 极大熵方法 光滑牛顿算法 

分 类 号：O242.2[理学—计算数学]