Mathematics Colloquium | Rajendra Bhatia
April 20 @ 4:30 pm - 5:30 pm
Speaker: Rajendra Bhatia
Professor, Department of Mathematics, Ashoka University
Title: Loewner Matrices
Abstract: Given a function f on R, a positive integer n and a choice of points p_1,….,p_n, the Loewner matrix L(f, p) is the nxn matrix whose (i,j) entry is the divided difference [L(p_i) – L(p_j)] / [p_i – p_j]. These matrices arise in several contexts, one of them being the celebrated Loewner’s theory of matrix monotone functions. Some of this theory will be discussed in Siddharth Mulherkar’s talk on 6 April. We will talk some more of these matrices. The talk is intended for and will be accessible to, students who have taken a second course on Linear Algebra. The first part will be on the blackboard introducing all concepts involved.
Note: This talk will not be recorded or made available later