Matrix Transformations and Quasi-Newton Methods

Boubakeur Benahmed, Bruno de Malafosse and Adnan Yassine

International Journal of Mathematics and Mathematical Sciences, 2007, vol. 2007, 1-17

Abstract:

We first recall some properties of infinite tridiagonal matrices considered as matrix transformations in sequence spaces of the forms s ξ , s ξ ∘ , s ξ ( c ) , or l p ( 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.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:025704

DOI: 10.1155/2007/25704

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