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

Hassan Jamali, Sakineh Ghaedi


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.


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

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ISSN: 1331-0623 (Print), 1848-8013 (Online)