Title of article :
ADAPTIVE METHODS FOR SOLVING OPERATOR EQUATIONS BY USING FRAMES OF SUBSPACES
Author/Authors :
JAMALI, H Department of Mathematics - Vali-e-Asr University of Rafsanjan - Rafsanjan, Iran , SHOKRI TERNONIZ, KH Department of Mathematics - Vali-e-Asr University of Rafsanjan - Rafsanjan, Iran
Abstract :
In this paper, using a frame of subspaces we transform an operator equation to an equivalent `2-problem. Then, we propose an adaptive algorithm to solve the
problem and investigate the optimality and complexity properties of the algorithm.
Keywords :
Hilbert space , dual space , frame of subspaces , best N-term approximation , adaptive algorithm
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
