COSAM » Events » 2015 » November » Linear Algebra Seminar

Linear Algebra Seminar
Time: Nov 10, 2015 (03:00 PM)
Location: Parker Hall 224

Speaker: K. C. Sivakumar (Indian Institute of Technology, Madras)

Title: Inverse positivity of interval matrices

Abstract: Let \(A,B \in \mathbb{R}^{n\times n}\) with \(A \leq B\), coordinate wise. An interesting result for the (coordinate wise) "interval" formed by \(A\) and \(B\) is that if the "end-matrices" \(A\)  and \(B\) are invertible and that their inverses are nonnegative, then any matrix in the interval is invertible and its inverse is nonnegative. In this talk, the main objective is to present an extension of this result to the case of the nonnegativity of the Moore-Penrose generalized inverse. I intend to present a brief exposition of the Moore-Penrose inverse in the course of the talk.

Last updated: 11/02/2015