基于广义松弛严格拟非扩张算子的串平均方法
A string averaging method based on strictly quasi-nonexpansive operators with generalized relaxation
摘要：
研究了基于严格拟非扩张算子广义松弛的不动点迭代法。迭代法是由串的平均组成的，每个串由许多严格拟非扩张算子组成。为了评估这项研究，我们研究了广泛的一类迭代法求解线性系方程（不等式）和次梯度投影法求解非线性凸可行性问题。数学分析的补充，从投影和经典的例子，说明了使用广义松弛的性能在图像重建的一些实验。
英文摘要：
We study a fixed point iterative method based on generalized relaxation of strictly quasi-nonexpansive operators. The iterative method is assembled by averaging of strings, and each string is composed of finitely many strictly quasi-nonexpansive operators. To evaluate the study, we examine a wide class of iterative methods for solving linear systems of equations (inequalities) and the subgradient projection method for solving nonlinear convex feasibility problems. The mathematical analysis is complemented by some experiments in image reconstruction from projections and classical examples, which illustrate the performance using generalized relaxation.
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