报告题目：A new perspective of the construction of block Amoldi-like relations in IB-BGMRES and with further applications

报 告 人：荆燕飞研究员（电子科技大学）

报告时间：2024年4月20日11:30-12:30

报告地点：格物楼数学研究中心528

报告摘要：

Many modeling process in scientific and engineering computing requires efficient solution of large-scale systems of linear equations with multiple right-hand sides. Partial convergence and inexact breakdown detection mechanism in the block classical GMRES method characterized by Robbe and Sadkane is a significant progress.In this report, a new perspective of the construction of block Arnoldi-like relations in such partial convergence associated with IB-BGMRES is investigated from the point of view of search space partition providing flexible choices for approximation search subspace at each iteration. Furthermore, we extend such new perspective respectively to IB-BGMRES-DR and the global GMRES method to propose two modified counterparts. Numerical experiments demonstrate that applications of such new perspective bring promising acceleration of convergence behavior of the corresponding methods on a variety of problems from different application areas.

报告人简介：

荆燕飞，电子科技大学数学科学学院研究员，博士生导师，学报编辑部主任，四川省学术和技术带头人。主要研究方向为数值代数与科学计算及在电磁散射中的应用。主持国家自然科学基金面上项目等，在SIAM Journal on Matrix Analysis and Applications、SlAM Journal on Scientific Computing、Journal of Scientific Computing、Journal of Computational Physics、Numerical Lineal Algebra with Applications、IEEE Transactions on Antennas and Propagation等上发表论文30余篇，获四川省自然科学一等奖（排名第2），省数学会首届应用数学奖二等奖。