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

‎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.