Title of article
Application of frames in Chebyshev and conjugate gradient methods
Author/Authors
Jamali ، H. - Vali-e-Asr University of Rafsanjan , Afroomand ، E. - Vali-e-Asr University of Rafsanjan
Pages
15
From page
1265
To page
1279
Abstract
Given a frame of a separable Hilbert space H, we present some iterative methods for solving an operator equation Lu=f, where L is a bounded, invertible and symmetric operator on H. We present some algorithms based on the knowledge of frame bounds, Chebyshev method and conjugate gradient method, in order to give some approximated solutions to the problem. Then we investigate the convergence and optimality of them.
Keywords
Hilbert spaces , dual space , frame , Chebyshev polynomials , iterative method
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2017
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2456083
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