Title of article :
Application of frames of subspaces in conjugate gradient method for solving operator equations
Author/Authors :
Jamali, Hassan Department of Mathematics - Faculty of Mathematical Sciences and Computer - Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran , Aminizadeh, Masoud Department of Mathematics - Faculty of Mathematical Sciences and Computer - Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
Abstract :
This paper is concerned with the conjugate gradient method for solving an operator equation on Hilbert spaces by using frames of subspaces. We design an algorithm, based on the bounds of a frame of subspaces and conjugate gradient method, and investigate its convergence and optimality.
Keywords :
Hilbert spaces , dual space , frame , frame of subspaces , conjugate gradient method
Journal title :
International Journal of Nonlinear Analysis and Applications
