Results 1 to 10 of about 23,672 (221)

Weak dual generalized inverse of a dual matrix and its applications [PDF]

Heliyon, 2023
Recently, the dual Moore-Penrose generalized inverse has been applied to study the linear dual equation when the dual Moore-Penrose generalized inverse of the coefficient matrix of the linear dual equation exists.
Hong Li, Hongxing Wang
doaj   +2 more sources

Reverse order law for outer inverses and Moore-Penrose inverse in the context of star order [version 1; peer review: 2 approved] [PDF]

F1000Research, 2022
The reverse order law for outer inverses and the Moore-Penrose inverse is discussed in the context of associative rings. A class of pairs of outer inverses that satisfy reverse order law is determined.
Manjunatha Prasad Karantha, Umashankara Kelathaya   +1 more
doaj   +2 more sources

Developing Reverse Order Law for the Moore–Penrose Inverse with the Product of Three Linear Operators [PDF]

Journal of Mathematics, 2021
In this paper, we study the reverse order law for the Moore–Penrose inverse of the product of three bounded linear operators in Hilbert spaces. We first present some equivalent conditions for the existence of the reverse order law ABC†=C†B†A†.
Yang Qi, Liu Xiaoji, Yu Yaoming
doaj   +2 more sources

On matrix convexity of the Moore-Penrose inverse [PDF]

International Journal of Mathematics and Mathematical Sciences, 1996
Matrix convexity of the Moore-Penrose inverse was considered in the recent literature. Here we give some converse inequalities as well as further generalizations.
B. Mond, J. E. Pecaric
doaj   +4 more sources

New Bounds for the Davis–Wielandt Radius via the Moore–Penrose Inverse of Bounded Linear Operators

Axioms
In this paper, we obtain some new upper bounds involving powers of the Davis–Wielandt radius of bounded linear operators with closed ranges by using the Moore–Penrose inverse.
Xiaomei Dong, Yuzhen Guo, Deyu Wu
doaj   +2 more sources

On Nonnegative Moore-Penrose Inverses of Perturbed Matrices

Journal of Applied Mathematics, 2013
Nonnegativity of the Moore-Penrose inverse of a perturbation of the form is considered when . Using a generalized version of the Sherman-Morrison-Woodbury formula, conditions for to be nonnegative are derived.
Shani Jose, K. C. Sivakumar
doaj   +4 more sources

Two Equal Range Operators on Hilbert $C^*$-modules [PDF]

Sahand Communications in Mathematical Analysis, 2021
In this paper, number of properties, involving invertibility, existence of Moore-Penrose inverse and etc for modular operators with the same ranges on Hilbert $C^*$-modules  are presented.
Ali Reza Janfada, Javad Farokhi-Ostad
doaj   +1 more source

Further representations and computations of the generalized Moore-Penrose inverse

AIMS Mathematics, 2023
The aim of this paper is to provide new representations and computations of the generalized Moore-Penrose inverse. Based on the Moore-Penrose inverse, group inverse, Bott-Duffin inverse and certain projections, some representations for the generalized ...
Kezheng Zuo, Yang Chen, Li Yuan
doaj   +1 more source

New characterizations of the generalized Moore-Penrose inverse of matrices

AIMS Mathematics, 2022
Some new characterizations of the generalized Moore-Penrose inverse are proposed using range, null space, several matrix equations and projectors. Several representations of the generalized Moore-Penrose inverse are given.
Yang Chen, Kezheng Zuo, Zhimei Fu
doaj   +1 more source

Invers Moore-Penrose pada Matriks Turiyam Simbolik Real

Jambura Journal of Mathematics, 2023
The symbolic Turiyam matrix is a matrix whose entries contain symbolic Turiyam. Inverse matrices can generally be determined if the matrix is a non-singular square matrix. Currently the inverse of the symbolic Turiyam matrix of size m × n with m 6= n can
Ani Ani, Mashadi Mashadi, Sri Gemawati
doaj   +1 more source