摘要
采用光滑逼近函数,把绝对值方程转化为一个光滑非线性方程组,进而利用五阶牛顿迭代法进行求解.计算结果表明,该方法计算速度快,对绝对值方程求解较为有效.
After smoothing by a smooth approximation function,absolute value equation is transformed into a smooth nonlinear equation system,which can be solved by Newton’s iteration method with fifth-order convergence.The results indicated that this method is fast in computing speed,and is more effective for solving absolute value equation.
作者
雍龙泉
YONG Long-quan(School of Mathematics and Computer Science,Shaanxi University of Technology,Hanzhong 723001,China;Shaanxi Key Laboratory of Indus trial Automation,Hanzhong 723001,China)
出处
《数学的实践与认识》
2021年第7期261-267,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(11401357)
陕西省教育厅重点科学研究计划项目(20JS021)
陕西理工大学科研项目(SLGYQZX2002)
陕西理工大学教学改革研究项目(SLGYJG2015)
关键词
光滑逼近函数
绝对值方程
非线性方程组
五阶牛顿迭代
smooth approximation function
absolute value equation
nonlinear equation system
Newton’s iteration method with fifth-order convergence
