Application of frames of subspaces in conjugate‎ gradient method for solving operator equations

Document Type: Research Paper

Authors

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

10.22075/ijnaa.2020.17828.1967

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