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On Ad-Nonprojection Method for Stable Approximation to Infinite-Dimensional Moore–Penrose Inverse
Numerical Functional Analysis and Optimization ( IF 1.4 ) Pub Date : 2020-03-27 , DOI: 10.1080/01630563.2020.1740930 Nailin Du 1 , Shanlin Gan 1
Numerical Functional Analysis and Optimization ( IF 1.4 ) Pub Date : 2020-03-27 , DOI: 10.1080/01630563.2020.1740930 Nailin Du 1 , Shanlin Gan 1
Affiliation
Abstract This note presents ad-nonprojection method for approximation to infinite-dimensional Moore-Penrose inverse, which includes generalized projection method as a special case. The main result (Theorem 4) gives characteristics of perfect convergence, weak perfect convergence, and uniform perfect convergence of ad-nonprojection method. This result is a generalization of several fundamental theorems known.
中文翻译:
无限维Moore-Penrose逆的稳定逼近的Ad-Nonprojection方法
摘要 本笔记介绍了逼近无限维摩尔-彭罗斯逆的非投影方法,其中包括作为特例的广义投影方法。主要结果(定理4)给出了ad-nonprojection方法的完全收敛、弱完全收敛和均匀完全收敛的特点。这个结果是几个已知基本定理的概括。
更新日期:2020-03-27
中文翻译:
无限维Moore-Penrose逆的稳定逼近的Ad-Nonprojection方法
摘要 本笔记介绍了逼近无限维摩尔-彭罗斯逆的非投影方法,其中包括作为特例的广义投影方法。主要结果(定理4)给出了ad-nonprojection方法的完全收敛、弱完全收敛和均匀完全收敛的特点。这个结果是几个已知基本定理的概括。