东南大学学报（英文版）2020，Vol.36Issue(1)：118-122,5.DOI:10.3969/j.issn.1003-7985.2020.01.015
外逆的一个显示表示及其计算
An explicit representation and computation for the outer inverse
摘要
Abstract
First, an explicit representation A(2)T, S =( GA+E) -1 G of the outer invers A(2)T, S for a matrix A∈Cm×n with the prescribed range T and null space S is derived, which is simpler than A(2)T, S =( GA+E) -1 G-V( UV) -2 UG proposed by Ji in 2005. Next, a new algorithm for computing the outer inverse A(2)T, S based on the improved representation A(2)T, S =( GA+E) -1 G through elementary operations on an appropriate partitioned matrix [ GA In In 0 ]is proposed and investigated.In Then, the computational complexity of the introduced algorithm is also analyzed in detail. Finally, two numerical examples are shown to illustrate that this method is correct.关键词
外逆/显示表示/初等变换/计算量Key words
outer inverse/explicit representation/elementary operation/computational complexity分类
数理科学引用本文复制引用
盛兴平,陈建龙..外逆的一个显示表示及其计算[J].东南大学学报（英文版）,2020,36(1):118-122,5.基金项目
The National Natural Science Foundation of China ( No. 11771076) . （ No. 11771076）
