Françoise Tisseur, Professor of Numerical Analysis

(The University of Manchester, UK)

The Nonlinear Eigenvalue Problem: Recent Developments

Date Thursday, February 14, 2019

Given a matrix-valued function F that depend nonlinearly on a single parameter z, the basic nonlinear eigenvalue problem consists of finding complex scalars z for which F(z) is singular. Such problems arise in many areas of computational science and engineering, including acoustics, control theory, fluid mechanics and structural engineering.

In this talk we will discuss some interesting mathematical properties of nonlinear eigenvalue problems and then present recently developed algorithms for their numerical solution. Emphasis will be given to the linear algebra problems to be solved.

About the Speaker: Françoise Tisseur is a Professor of Numerical Analysis at the University of Manchester, UK. She works in numerical linear algebra and in particular on nonlinear eigenvalue problems and structured matrix problems, including the development of algorithms and software. She was awarded the 2010 Whitehead Prize by the London Mathematical Society for her research achievements in numerical linear algebra and the 2011-2012 Adams Prize of the University of Cambridge for her work on polynomial eigenvalue problems. In 2016, she was elected as a Fellow of the Society for Industrial and Applied Mathematics. She will deliver the Olga Taussky-Todd Lecture at the International Congress on Industrial and Applied Mathematics in Valencia, Spain in 2019.

Reception to follow in the St. John's College Galleria.