%0 Journal Article
%T Matrix Transformations and Quasi-Newton Methods
%A Boubakeur Benahmed
%A Bruno de Malafosse
%A Adnan Yassine
%J International Journal of Mathematics and Mathematical Sciences
%D 2007
%I Hindawi Publishing Corporation
%R 10.1155/2007/25704
%X We first recall some properties of infinite tridiagonal matrices considered as matrix transformations in sequence spaces of the forms sξ, sξ∘, sξ(c), or lp(ξ). Then, we give some results on the finite section method for approximating a solution of an infinite linear system. Finally, using a quasi-Newton method, we construct a sequence that converges fast to a solution of an infinite linear system.
%U http://www.hindawi.com/journals/ijmms/2007/025704/abs/