报 告 人：黄荣
报告题目：A periodic qd-type reduction for computing eigenvalues of structured matrix products to high relative accuracy
报告时间：2017年12月9日（周六）下午16:00—17:00
报告地点：静远楼204学术报告厅
主办单位：数学与统计学院、科技处
报告人简介：
黄荣，博士，教授，博士生导师，湖南省杰出青年基金获得者、湖南省普通高校学科带头人培养对象、湖南省新世纪121人才工程人选、湖南省青年骨干教师培养对象。主要研究方向为数值代数等。主持国家自然科学基金面上项目、国家自然科学基金青年项目、教育部博士点基金、湖南省杰出青年基金等课题10余项。学术论文以第一作者发表在SIAM Journal on Matrix Analysis and Applications、Journal of Scientific Computing、BIT Numerical Mathematics、Numerical Linear Algebra with Applications、Numerical Algorithms、Journal of Computational and Applied Mathematics、Linear Algebra and its Applications、Linear and Multilinear Algebra等学术期刊上。
报告摘要：
In this paper, we consider the product eigenvalue problem for a wide class of structured matrices containing the well-known Vandermonde and Cauchy matrices. A periodic qd-type reduction method is developed for computing eigenvalues of products of these rectangular matrices so that no subtraction of like-signed numbers occurs. Consequently, all the eigenvalues of such a product are computed to high relative accuracy in a preferable complexity. Error analysis and numerical experiments are provided to confirm the high relative accuracy.
