讲座主题：Research on Numerical Algorithm of Absolute Value Equation

专家姓名：邵新慧

工作单位：东北大学

讲座时间：2022年9月26日14:00-15:00

讲座地点：腾讯会议：708-280-086

主办单位：烟台大学数学与信息科学学院

内容摘要：

With the rapid development of modern science and technology and the advent of the era of big data, optimization theory is widely used to solve various problems in industry, agriculture, finance, management, communication and other fields, especially the non-differentiable optimization problem, which has more important theoretical research significance and practical application value in Engineering application and scientific calculation, It becomes an important branch of optimization theory. The absolute value equation studied in this paper is a special non-differentiable optimization problem.

This paper first proposes a modified SOR-like method for solving absolute value equations, and analyzes the theory of the modified SOR-like method, gives sufficient conditions to ensure the convergence of the method, and also discusses the optimal value expression of parameters in the new method. Compared with SOR-like method, the optimal parameters can improve the CPU execution time consumption, iteration steps, residual error and solution error of the modified method. At the same time, the conditions for the modified SOR-like method to obtain the optimal parameters are weaker than those for the SOR-like method.

主讲人介绍：

邵新慧，女，东北大学教授，硕士生导师，东北大学数学系书记，数学实验中心主任；入选东北大学长聘教授，辽宁省教学名师，东北大学首届本科教学标兵，兼任中国计算数学学会理事。主要研究方向是数值代数、数据分析与智能计算，国家级精品在线开放课程《数值分析》的课程负责人；主持了1项教育部和3项校级教改项目、参与5项国家面上基金和省级自然基金项目研究工作；在国内外期刊发表学术和教法论文50余篇，其中30余篇学术论文被SCI检索。曾荣获辽宁省优秀共产党员、沈阳市教科工委优秀党员、沈阳市高校师德标兵、沈阳市五一巾帼先进个人、沈阳市优秀硕士导师、东北大学“我心中的好导师”、东北大学“我最喜爱的教师”、东北大学“优秀班导师”、华为奖教金、江河奖教金、东北大学“三育人”先进个人、东北大学“先进个人”、东北大学“优秀共产党员”、东北大学“三八红旗手”等多项荣誉称号。