Document Type : Research Paper

Authors

• Hassan Jamali
• Masoud Aminizadeh

Department of Mathematics, 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