The Generalized Multiplicative Gradient Method and Its Convergence Rate Analysis

2022/07/26 by Zhao, Renbo
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2207.13198

Abstract

Multiplicative gradient method is a classical and effective method for solving the positron emission tomography (PET) problem. In this work, we propose a generalization of this method on a broad class of problems, which includes the PET problem as a special case. We show that this generalized method converges with rate O(1/k).

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