Analysis Seminar

Time: 3:30 pm, Thursday 3 November 2022

Venue: Ramanujan Hall, Department of Mathematics

Speaker: Sushil Singla, Indian Institute of Science (IISc), Bangalore, India.

Title: Interpolation Polynomials and Linear Algebra

Abstract: We reconsider the theory of Lagrange interpolation polynomials
with multiple interpolation points and apply it to linear algebra. In
particular, we show that one can evaluate a meromorphic function at a
matrix, using only an interpolation polynomial. As an application of
Lagrange interpolation polynomials, we also provide proof that all
complex matrices can be put into Jordan normal form.