Petr Tichý - From Krylov subspace methods to approximation theory
Date: 21/04/2015 14:00
Place: Seminární místnost KNM
Investigation of convergence of Krylov subspace methods for systems of linear algebraic equation with a normal matrix leads to classical problems of approximation theory. In particular, it leads to min-max approximation problems on the discrete set of the matrix eigenvalues. These eigenvalues are complex in general. Motivated by investigation of convergence, and inspired by examples and numerical experiments, we formulate a conjecture that could hold in general. Proving this conjecture would supplement the classical results of approximation theory.