**Date & Time:** Tuesday, January 07, 2014, 14:30-15:30.

**Venue:** Ramanujan Hall

**Title:** Inertias of some special matrices

**Speaker:** Rajendra Bhatia, ISI Delhi

**Abstract:** It is easy to recognise a Hermitian matrix, more difficult to test whether it is positive definite, or to find how many positive eigenvalues it has. We will discuss this problem for a special matrix, namely, the matrix
[*(p _{i}+p_{j})^{r}*], where

*p*are positive real numbers and

_{i}*r*is any real number.