7月3日 Prof. M. Thamban Nair学术报告

发布时间:2019-07-02

报告题目：A Discrete Regularization Method for Ill-Posed Operaror Equation

主讲人：Prof. M. Thamban Nair, Indian Institute of Technology Madras,  India

报告时间：2019年7月3日 15:30-16:30

报告地点：南校园336栋（旧数学楼）210

主持：杨宏奇教授

摘要：Discrete regularization methods are often applied for obtaining stable approximate solutions for ill-posed operator equations Tx=y, where T is a bounded operator between Hilbert spaces with non-closed range.  Most of the existing such methods  involve finite rank bounded projection operators on either the domain space  or on codomain space of  T  or on both. We consider a discrete regularization based on finite rank projection-like operators  on some subspace of the codomain space such that their  ranges need not be subspaces of the codomain space. This method not only includes some of the exisiting projection based methods but also a quadrature based collocation method considered by the speaker  for integral equations of the firt kind.

个人介绍：Prof. M. Thamban Nair is a senior professor of mathematics at Indian Institute of Technology Madras in Chennai (Tamil Nadu), India.  Prof. Nair’s research interests include Spectral Approximation, Operator Equations, and Inverse and Ill-Posed Problems.  He has published more than 75 research papers in these areas. He has also published 4 books:
· “Functional Analysis: A First Course”, PHI-Learning, New Delhi, 2002
· “Linear Operator Equations: Approximation and Regularization”, World Scientific, Singapore, 2009.
· “Calculus of One Variable”, Ane-Publications, Pvt. Ltd., New Delhi, 2014.
· “Linear Algebra”, Springer, 2018 (Co-author: A. Singh).
These books are being used either as text books or reference books in many universities in India and other countries.