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Mathematical Communications, Vol. 22 No. 1, 2017.

Original scientific paper

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

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

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Abstract

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

Keywords

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

Hrčak ID:

176698

URI

https://hrcak.srce.hr/176698

Publication date:

4.4.2017.

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