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

نویسندگان
Aminizadeh, Masoud ID 1
Jamali, Hassan ID 2

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

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

doi
10.22075/ijnaa.2020.17828.1967
چکیده

‎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.

کلیدواژه‌ها
Hilbert spaces‎, ‎dual space‎, ‎frame‎, ‎frame of‎ subspaces‎, ‎conjugate‎ gradient method