自适应离散分数阶渐进正则化方法  

An Efficient Adaptive Discretization for Fractional Asymptotical Regularization

作　　者：黄静月 罗兴钧[1] 张荣[1] HUANG Jingyue;LUO Xingjun;ZHANG Rong(School of Mathematics and Computer Science,Gannan Normal University,Ganzhou 341000,China)

机构地区：[1]赣南师范大学数学与计算机科学学院,江西赣州341000

出　　处：《赣南师范大学学报》2022年第3期1-6,共6页Journal of Gannan Normal University

基　　金：国家自然科学基金项目资助(N0.11761010)。

摘　　要：采用有效的自适应投影离散方法,用于求解第一类算子方程.该方法将分数阶渐近正则化与自适应投影方法相结合,与标准投影方法相比,所需的离散信息少得多,得到了近似解的最优收敛率.A fast multiscale projection method with compression technique was developed for the numerical solution of operator equations of the first kind.This method consists of combining the fractional asymptotical regularization with an adaptive projection scheme.Optimality of the proposed method was proved but requires substantially less discrete information compared with standard projection methods.

关 键 词：不适定问题 投影方法 压缩策略 分数阶渐近正则化 

分 类 号：TP301[自动化与计算机技术—计算机系统结构]