Preconditioned Splitting Iterations for Solving Multi-linear Systems

：黎稳教授
：2019-04-04 15:00
：实验楼108

        Speaker：Prof.Wen Li

                        South China Normal University

Title: Preconditioned Splitting Iterations for Solving Multi-linear Systems

Time：4 April 2019,15:00

Location： 海韵实验楼108

Abstract: It is known that the spectral radius of the iterative tensor can be seen as an approximate convergence rate for solving multi-linear systems by tensor splitting iterative methods. So in this talk, first we give some spectral radius comparisons between two different iterative tensors. Then, we propose the preconditioned tensor splitting method for solving multi-linear systems, which provides an alternative algorithm with the choice of a preconditioner. In particular, also we give some spectral radius comparisons between the preconditioned iterative tensor the original one. Numerical examples are given to demonstrate the efficiency of the proposed preconditioned methods.

Speaker Introduction：黎稳，华南师范大学数学科学学院教授、院长、广东省数据科学工程中心副主任、广东省数学学会副理事长、广东省工业与应用数学学会副理事长和中国计算数学会理事。主要学术研究方向为：张量分析与应用、数值代数与应用、互补问题与应用。在国际著名学术刊物《Numer Math》、《SIAM J. Matrix Anal Appl》、《Appl Numer Math》、《中国科学》等学术刊物发表学术论文176篇，其中SCI收录论文108篇。2012年获广东省科学技术奖二等奖(排名第一)、连续4次主持国家自然科学基金面上项目，主持教育部博士点基金与广东省自然科学基金项目7项，主持广东省高校创新团队项目和省级重大项目各一项。