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

Abstract

‎This paper is concerned with the conjugate gradient method for‎<br /> ‎solving an operator equation on Hilbert spaces by using frames of‎<br /> ‎subspaces‎. ‎We design an algorithm, based on the bounds of a frame of‎<br /> ‎subspaces and conjugate gradient method, and investigate its‎<br /> ‎convergence and optimality‎.