报告人:郑 兵 (兰州大学)

日  期:2019年6月4日

时  间:上午10:00

地  点:理科楼 LA106

摘  要:In this talk, we will introduce the explicit expressions of the normwise, mixed and componentwise condition numbers for the Tikhonov regularization when A has linear structures. The structured condition numbers in the special cases of nonlinear structure i.e. Vandermonde and Cauchy matrices are also considered. Some comparisons between structured condition numbers and unstructured condition numbers are made by numerical experiments. In addition, we also derive the normwise, mixed and componentwise condition numbers for the Tikhonov regularization when the coefficient matrix, regularization matrix and right-hand side vector are all perturbed, which generalize the results obtained by Chu et al.

报告人简介：郑兵，兰州大学教授、博士生导师。长期从事数值代数及矩阵论的研究工作，负责承担国家自然科学基金面上项目、教育部外国专家重点项目、甘肃省自然科学基金项目等10余项。多次应邀赴美国、日本、西班牙、俄罗斯、印度以及香港、澳门等国家和地区参加学术会议并做学术报告，并先后在印度统计研究所新德里中心和美国Emory大学数学与计算机系做访问学者。迄今已在SIAM J. Matrix Anal. Appl., J. Math. Anal. Appl., J. Optim. Theory Appl., Appl. Math. Model., Linear Algebra Appl., Linear Multilinear Algebra, Appl. Math. Lett., J. Comput. Appl. Math., Numer. Algorithm., Comput. Math. Appl., J. Multivariate Anal., Calcolo, J. Comput. Math.等国内外著名刊物上发表70多篇论文，其中SCI论文60余篇。

公司联系人:李寒宇

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