Hilbert Space Splittings and Iterative Methods

This book is about the theory of so-called Schwarz methods for solving variational problems in a Hilbert space V arising from linear equations and their associated quadratic minimization problems. Schwarz methods are based on the construction of a sequence of approximate solutions by solving auxiliary variational problems on a set of (smaller, finite-dimensional) Hilbert spaces $V_i__SSR_DESCRIPTION__nbsp;in a certain order, combining them, and using the combined approximations in an iterative procedure. Th