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                                    10月24日讲座——荷兰埃因霍芬理工大学Michiel Erik Hochstenbach教授:行列式表示法求解多项式系统问题

                                    作者:  编辑:院研究生办   发布日期: 2019-10-23   来源:院国交处  


                                    讲座题目:行列式表示法求解多项式系统问题

                                    人:Michiel Erik Hochstenbach教授

                                    讲座时间:2019102410:00-11:00

                                    讲座地点:理学院201会议室

                                    欢迎有兴趣的师生前来聆听! 

                                                   理学院

                                                                 20191023

                                    讲座内容简介:

                                    Zeros of a polynomial, p(x)=0, are often determined by computing the eigenvalues of a companion matrix: a matrix A which satisfies det(A-xI)=p(x). In this talk we consider polynomial systems, in particular of 2 variables: p(x,y)=0, swdq(x,y)=0. We look for a determinantal representation for such a bivariate polynomial: matrices A, B, C such that det(A-xB-yC)=p(x,y). This means that we can compute the zeros of the system by solving a 2-parameter eigenvalue problem. This very fascinating approach, which already goes back to a theorem by Dixon in 1902, leads to fast solution approaches, as well as a multitude of interesting open research questions. This is mainly joint work with Bor Plestenjak (Ljubljana), and additionally several colleagues in algebra.

                                    主讲人简介:

                                    Michiel Erik Hochstenbach教授是世界百强名校荷兰埃因霍芬理工大学(Eindhoven University of Technology)数学与计算机科学系的教授,2003年博士毕业于世界顶尖公立研究型大学荷兰乌得勒支大学(Utrecht University),主要研究方向为科学计算,算法与软件开发,大数据,深度学习和模式识别等。在科学计算领域的重要期刊SIAM J. Matrix Anal. Appl.Lin. Alg. Appl.J. Comput. Appl. Math.Num. Lin. Alg. Appl.Electr. Trans. Num. Anal.等发表40余篇SCI学术论文,其论文多次获得国际级奖的第一名,现担任BIT Numerical MathematicsElectr. Trans. Num. Anal.等期刊编委,并主持一项52万欧元的欧盟大数据项目。Hochstenbach教授是特征值问题中Jacobi-Davidson算法的早期研究学者之一,对该内容的后续研究起到了非常重要的意义。