講座主題：Research on Numerical Algorithm of Absolute Value Equation
專家姓名：邵新慧
工作單位：東北大學
講座時間：2022年9月26日14:00-15:00
講座地點：騰訊會議：708-280-086
主辦單位：煙臺大學數學與信息科學學院
內容摘要：
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.
主講人介紹：
邵新慧，女，東北大學教授，碩士生導師，東北大學數學系書記，數學實驗中心主任；入選東北大學長聘教授，遼寧省教學名師，東北大學首屆本科教學標兵，兼任中國計算數學學會理事。主要研究方向是數值代數、數據分析與智能計算，國家級精品在線開放課程《數值分析》的課程負責人；主持了1項教育部和3項校級教改項目、參與5項國家面上基金和省級自然基金項目研究工作；在國內外期刊發表學術和教法論文50余篇，其中30余篇學術論文被SCI檢索。曾榮獲遼寧省優秀共產黨員、沈陽市教科工委優秀黨員、沈陽市高校師德標兵、沈陽市五一巾幗先進個人、沈陽市優秀碩士導師、東北大學“我心中的好導師”、東北大學“我最喜愛的教師”、東北大學“優秀班導師”、華為獎教金、江河獎教金、東北大學“三育人”先進個人、東北大學“先進個人”、東北大學“優秀共產黨員”、東北大學“三八紅旗手”等多項榮譽稱號。
