ADAPTIVE METHODS FOR SOLVING OPERATOR EQUATIONS BY USING FRAMES OF SUBSPACES

H. JAMALI, KH. SHOKRI TERNONIZ

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Abstract

In this paper, using a frame of subspaces we transform an operator equation to an equivalent l2-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.