Applications of frames of subspaces in Richardson and Chebyshev methods for solving operator equations

Hassan Jamali; Sakineh Ghaedi

Vol. 22 No. 1 (2017)

Regular Articles

Applications of frames of subspaces in Richardson and Chebyshev methods for solving operator equations

Published 2016-06-27

Hassan Jamali
Sakineh Ghaedi

Hassan Jamali
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

Sakineh Ghaedi

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Abstract

This paper is concerned with the construction some iterative methods for solving an operator equation on Hilbert spaces by using frames of subspaces. We design some algorithms based on the Richardson and Chebyshev methods, and investigate the convergence and optimality of them.

Keywords

Hilbert spaces, dual space, frame, frame of subspaces, Chebishev polynomials, iterative method

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Author Biography

Hassan Jamali

Department of Mathematics, Vali-e-Asr University of Rafsanjan,
Rafsanjan, Iran