Iterative Methods for Linear Systems : Theory and Applications, Paperback by ...

Iterative Methods for Linear Systems : Theory and Applications, Paperback by Olshanskii, Maxim A.; Tyrtyshnikov, Eugene E., ISBN 1611973457, ISBN-13 9781611973457, Brand New, Free shipping in the USIn a mathematically rigorous and consistent introduction to the fundamental and most popular Krylov subspace iterative methods, mathematicians Olshanskii and Tyrtyshnikov review the theory of Krylov subspaces, including the optimality property, and introduce iterative algorithms following the classic minimization approach. Considering only the structured (Toeplitz) matrices and large sparse matrices rising from discretizations of partial differential equations, they cover Krylov subspace methods, Toeplitz matrices and preconditioners, multigrid preconditioners, preconditioners by space decomposition, and applications in singular-perturbed problems and fluid mechanics. Annotation ©2015 Ringgold, Inc., Portland, OR ()