Department of Mathematics

Indian Institute Of Technology Madras , Chennai
  • Mathematics Department Shifted to NAC Office of the Department of Mathematics is moved from HSB to New Academic Complex (NAC) 5th and 6th Floor

Inverse Positivity of Interval Matrices

Speaker : Prof. K. C Sivakumar (Department of Mathematics, IIT Madras)

21-01-2016

Abstract :

Let A, B be real square matrices such that A ≤ B, where the order is defined entrywise. Consider the interval J([A, B]) := {X : A ≤ X ≤ B}. In general, if A and B are invertible then there may exist X ∈ J([A, B]) which is not invertible. Consider now the case when A and B are invertible and that their inverses are (entry-wise) nonnegative. We ask if each X ∈ J ([A, B]) inherits this property that is if each X ∈ J ([A, B]) is invertible and its inverse is nonnegative. An answer is given. A similar question is posed for the nonnegativity of the Moore-Penrose inverse. The objective of this talk is to present some recent results in this direction.

Key Speaker Prof. K. C Sivakumar (Department of Mathematics, IIT Madras)
Place NAC 522
Start Time 3:00 PM
Finish Time 4:00 AM
External Link None