Review of Algebraic and Convergence properties of Krylov subspace methods

20 Apr 2017
9:20-10:10
Amphi 3

Review of Algebraic and Convergence properties of Krylov subspace methods

We give some convergence results of Krylov subspace methods. Such methods are strongly related to polynomial spaces and their convergence analysis can often be naturally derived from approximation theory.
Analyses of this type lead to discrete min-max approximation problems over the spectrum of the matrix, from which upper bounds of the relative Euclidean residual norm are derived.