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美国德克萨斯大学阿灵顿分校Rencang Li教授

发布:2019-07-18 10:30       作者:admin      来源:未知

报告题目:Perturbation Analysis for Matrix Joint Block Diagonalization

人:Prof. Rencang Li (美国德克萨斯大学阿灵顿分校)

报告时间:2019718日(周四)10:30-11:30

报告地点:清水河校区主楼A1-513

人:程光辉 教授

 

报告摘要:

The matrix joint block diagonalization problem (JBDP) of a given matrix set A ={Ai} is about finding a nonsingular matrix W such that all  are block diagonal. It includes the matrix joint diagonalization problem (JDP) as a special case for which all  are required diagonal. Generically, such a matrix W may not exist, but there are practically applications such as multidimensional independent component analysis (MICA) for which it does exist under the ideal situation, i.e., no noise is presented. However, in practice noises do get in and, as a consequence, the matrix set is only approximately block diagonalizable, i.e., one can only make all  nearly block diagonal at best, where  is an approximation to W, obtained usually by computation. This motivates us to develop a perturbation theory for JBDP to address, among others, the question: how accurate this  is. Previously such a theory for JDP has been discussed, but no effort has been attempted for JBDP yet. In this talk, we will present an error bound and propose a condition number for JBDP.

 

报告人简介:

李仁仓 ,厦门大学闽江学者讲座教授,长期从事数值代数、科学计算、微分方程数值解法等领域的研究  。担任“SIAM J. Matrix Anal. Appl.”“Mathematical Communications”“Numerical Algebra, Control and Optimization”副主编、“Operators and Matrices”“Linear and Multilinear Algebra”等刊物的编委。主持过美国国家自然科学基金在内的各类项目十几项。在SIAM J SCI COMPUT, Numerische Mathematik, Math. Comp., SIAM J. Matrix Anal. Appl., Numerical Linear Algebra with Applications, BIT Numerical Mathematics 等国际著名期刊上发表学术论文一百多篇。


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