Moore-Penrose Inverse in Indefinite Inner Product Spaces

被引：1

作者：

Radojevic, Ivana M. ^{[1
]}

Djordjevic, Dragan S. ^{[2
]}

机构：

[1] Univ Belgrade, Tech Fac Bor, Vojske Jugoslavije 12, Bor 19210, Serbia

[2] Univ Nis, Fac Sci & Math, Dept Math, Visegradska 33, Nish 18000, Serbia

来源：

FILOMAT | 2017年 / 31卷 / 12期

关键词：

Moore-Penrose inverse; indefinite inner product; adjoint; linear relation; SEMIDEFINITE INVARIANT SUBSPACES; HYPONORMAL MATRICES;

D O I：

10.2298/FIL1712847R

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present the definition and some properties for the Moore-Penrose inverse in possibly degenerate indefinite inner product spaces. The extensions of appropriate results, given for matrices in Euclidean and nondegenerate indefinite inner product spaces are established. All this is done by using the concept of linear relations.

引用

页码：3847 / 3857

页数：11

共 50 条

[1] MOORE-PENROSE INVERSE IN AN INDEFINITE INNER PRODUCT SPACE
Kamaraj, K.
Sivakumar, K. C.
[J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2005, 19 (1-2) : 297 - 310
[2] Nonnegative Moore-Penrose Inverse of Gram Matrices in an Indefinite Inner Product Space
K. Ramanathan
K. C. Sivakumar
[J]. Journal of Optimization Theory and Applications, 2009, 140 : 189 - 196
[3] Nonnegative Moore-Penrose Inverse of Gram Matrices in an Indefinite Inner Product Space
Ramanathan, K.
Sivakumar, K. C.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2009, 140 (01) : 189 - 196
[4] WEIGHTED MOORE-PENROSE INVERSES OF ADJOINTABLE OPERATORS ON INDEFINITE INNER-PRODUCT SPACES
Qin, Mengjie
Xu, Qingxiang
Zamani, Ali
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 57 (03) : 691 - 706
[5] Weighted Moore-Penrose Inverses Associated with Weighted Projections on Indefinite Inner Product Spaces
Yan, Guanjie
Tan, Yunfei
Xu, Qingxiang
[J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2021, 47 (04) : 1121 - 1134
[6] Moore-penrose inverse in Krein spaces
Mary, Xavier
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2008, 60 (03) : 419 - 433
[7] Weighted Moore-Penrose inverses of products and differences of weighted projections on indefinite inner-product spaces
Tan, Yunfei
Xu, Qingxiang
Yan, Guanjie
[J]. ADVANCES IN OPERATOR THEORY, 2020, 5 (03) : 796 - 815
[8] ABOUT THE GROUP INVERSE AND MOORE-PENROSE INVERSE OF A PRODUCT
GOUVEIA, MC
PUYSTJENS, R
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1991, 150 : 361 - 369
[9] Perturbations of Moore-Penrose inverse and dual Moore-Penrose generalized inverse
Cui, Chong
Wang, Hongxing
Wei, Yimin
[J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2023, 69 (06) : 4163 - 4186
[10] Moore-Penrose Inverse in Kreĭn Spaces
Xavier Mary
[J]. Integral Equations and Operator Theory, 2008, 60 : 419 - 433

← 1 2 3 4 5 →