Cauchy's Interlacing Theorem

Abstract : An interlacing theorem in Matrix Theory known as Cauchy's interlacing theorem gives interlacing properties of the eigenvalues of a Hermitian matrix A and a larger bordered Hermitian matrix. The standard proof Cauchy's interlacing theorem usually follows from the Courant-Fischer theorem. I will present a proof of Cauchy's interlacing theorem using elementary ideas. Some easy consequences as well as a converse will be indicated, time permitting.

Date and Time: 2016/02/18 15:00 Venue: Seminar Room (219)
Speaker: Mr. Vatsalkumar Nandkishor Mer Speaker - Affiliations: --