文章基本信息

标题：A Class of Nonstationary Upper and Lower Triangular Splitting Iteration Methods for Ill-posed Inverse Problems
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作者：Jingjing Cui ; Guohua Peng ; Quan Lu 等
期刊名称：IAENG International Journal of Computer Science
印刷版ISSN：1819-656X
电子版ISSN：1819-9224
出版年度：2020
卷号：47
期号：1
语种：English
出版社：IAENG - International Association of Engineers
摘要：In this study, by applying the minimize residual technique to a class of upper and lower triangular (ULT) methods, two types of nonstationary ULT iteration methods called the minimize residual ULT (MRULT) ones are established for solving ill-posed inverse problems. We provide the convergent analysis of the MRULT-type iteration methods, which shows that the proposed methods are convergent if the related parameter satisfies suitable restrictions. And the new methods further improve the convergence rates of the ULT ones. Finally, numerical experiments arising from a Fredholm integral equation of the first kind and image restoration are reported to further examine the feasibility and effectiveness of the proposed methods.
关键词：upper and lower triangular splitting;minimize residual;Tikhonov regularization;ill-posed problems;iteration method