A note of computation for M-P inverse A†

被引：21

作者：

Sheng, Xingping ^{[1
,2
]}

Chen, Guoliang ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

[2] Fuyang Normal Coll, Dept Math, Fuyang 236032, Anhui, Peoples R China

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2010年 / 87卷 / 10期

关键词：

Gauss-Jordan elimination; M-P inverse; elementary operation; arithmetic operations;

D O I：

10.1080/00207160802624117

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents an explicit representation for M-P inverse A(& DAG);. Based on this, we can use Gauss-Jordan elimination to compute it, and get the upper bound of the total number of arithmetic operations about 21/4n(3). Finally, a numerical example is demonstrated.

引用

页码：2235 / 2241

页数：7

共 11 条

[1]

Ben-Israel A., 2003, GEN INVERSE THEORY A

[2]

JING C, 2002, NUMER MATH J CHINESE, V32, P320

[3]

JUN J, 2005, LINEAR ALGERBRA ITS, V404, P183

[4]

Jun J., 1989, J COMPUT MATH, V7, P327

[5]

KRAMARZ L, 1981, LINEAR ALGEBRA ITS A, V36, P78

[6]

Moore EH, 1920, Bull Am Math Soc, V26, P394, DOI [DOI 10.1090/S0002-9904-1920-03322-7, 10.1090/S0002-9904-1920-03322-7]

[7]

Penrose R., 1955, Math Proc Camb Philos Soc, V51, P406, DOI [10.1017/S0305004100030401, DOI 10.1017/S0305004100030401]

[8] PERTURBATION OF PSEUDO-INVERSES, PROJECTIONS AND LINEAR LEAST-SQUARES PROBLEMS [J].

STEWART, GW .

SIAM REVIEW, 1977, 19 (04) :634-662

[9] ON CONTINUITY OF GENERALIZED INVERSE [J].

STEWART, GW .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1969, 17 (01) :33-&

[10]

Strang G., 2006, Linear Algebra and Its Applications

← 1 2 →