论文标题
广义乘法梯度法及其收敛速率分析
The Generalized Multiplicative Gradient Method and Its Convergence Rate Analysis
论文作者
论文摘要
乘法梯度方法是解决正电子发射断层扫描（PET）问题的经典有效方法。在这项工作中，我们提出了这种方法对广泛的问题的概括，其中包括宠物问题作为一种特殊情况。我们表明，这种广义方法与费率$ o（1/k）$收敛。
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 $O(1/k)$.
