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(xué)
講座時(shí)間：2022年9月26日14:00-15:00
講座地點(diǎn)：騰訊會議：708-280-086
主辦單位：煙臺大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)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(xué)教授，碩士生導(dǎo)師,，東北大學(xué)數(shù)學(xué)系書記,，數(shù)學(xué)實(shí)驗(yàn)中心主任,；入選東北大學(xué)長聘教授，遼寧省教學(xué)名師,，東北大學(xué)首屆本科教學(xué)標(biāo)兵,，兼任中國計(jì)算數(shù)學(xué)學(xué)會理事。主要研究方向是數(shù)值代數(shù),、數(shù)據(jù)分析與智能計(jì)算,，國家級精品在線開放課程《數(shù)值分析》的課程負(fù)責(zé)人；主持了1項(xiàng)教育部和3項(xiàng)校級教改項(xiàng)目,、參與5項(xiàng)國家面上基金和省級自然基金項(xiàng)目研究工作,；在國內(nèi)外期刊發(fā)表學(xué)術(shù)和教法論文50余篇，其中30余篇學(xué)術(shù)論文被SCI檢索,。曾榮獲遼寧省優(yōu)秀共產(chǎn)黨員,、沈陽市教科工委優(yōu)秀黨員、沈陽市高校師德標(biāo)兵,、沈陽市五一巾幗先進(jìn)個(gè)人,、沈陽市優(yōu)秀碩士導(dǎo)師、東北大學(xué)“我心中的好導(dǎo)師”,、東北大學(xué)“我最喜愛的教師”,、東北大學(xué)“優(yōu)秀班導(dǎo)師”、華為獎(jiǎng)教金,、江河獎(jiǎng)教金,、東北大學(xué)“三育人”先進(jìn)個(gè)人、東北大學(xué)“先進(jìn)個(gè)人”,、東北大學(xué)“優(yōu)秀共產(chǎn)黨員”,、東北大學(xué)“三八紅旗手”等多項(xiàng)榮譽(yù)稱號。
