IISER - TVM

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SEMINAR - 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.

Event Date : 2016-02-18