%0 Journal Article
%T Birecursive interpolation algorithm: a formalism for solving systems of linear equations
%A M. Esghir
%J Applied Mathematical Sciences
%D 2013
%I 
%X This paper presents a simple unifying algorithm for iterative methodsthat use two Krylov subspaces. This new approach leads us to ageneral algorithm called the bi-recursive interpolation algorithm (Bi-RIA), which is a generalization of the recursif interpolation algorithm (RIA), the Bi-RIA includes the iterative methods of Lanczos type usingtwo auxilary vectors. We will show how to choose two free sets of parametersand one matrix in the Bi-RIA for recovering known iterativemethods of Lanczos type. Other choices of these parameters yield somenew methods.
%K Schur complements
%K RIA
%K Krylov subspace
%K Lanczos process
%U http://www.m-hikari.com/ams/ams-2013/ams-21-24-2013/esghirAMS21-24-2013-1.pdf