The nonlinear eigenvalue problem: recent developments

Françoise Tisseur
Thu, Feb 14, 2019
PIMS, University of Manitoba
PIMS-UManitoba Distinguished Lecture
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.