Zobrazeno 1 - 10
of 906
pro vyhledávání: '"group inverse"'
Publikováno v:
Electronic Research Archive, Vol 32, Iss 3, Pp 1822-1843 (2024)
An extension of the $ m $-weak group inverse (or $ m $-WGI) on the set of rectangular matrices is provided to solve some systems of matrix equations. The extension is termed as the $ W $-weighted $ m $-WGI (or $ W $-$ m $-WGI). The $ W $-$ m $-WGI pr
Externí odkaz:
https://doaj.org/article/21a015b62a194071a17a290c4a8351e0
Autor:
Mosić Dijana, Marovt Janko
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 32, Iss 1, Pp 221-246 (2024)
To extent the notion of the MP weak group inverse for square matrices, we introduce the concept of the weighted MP weak group inverse for rectangular matrices. A number of different representations and characterizations are derived for the weighted M
Externí odkaz:
https://doaj.org/article/cf44b4b0f0734ea8ad3787136166dee1
Autor:
Priya K. Kranthi, Sivakumar K. C.
Publikováno v:
Special Matrices, Vol 12, Iss 1, Pp 211-217 (2024)
It is known that the inverse of an invertible real square matrix satisfying the triangle property is a tridiagonal matrix. In this note, results that may be considered as analogues of this assertion are obtained for the Moore-Penrose inverse and the
Externí odkaz:
https://doaj.org/article/20e1348e8ae64615ab865c98e1daa37c
Publikováno v:
Mathematics, Vol 12, Iss 19, p 3136 (2024)
In the present paper, we introduce the concept of idempotent-aided factorization (I.-A. factorization) of a regular element of a semigroup, which can be understood as a semigroup-theoretical extension of full-rank factorization of matrices over a fie
Externí odkaz:
https://doaj.org/article/4105911f44944f9499518fd136e400de
Publikováno v:
AIMS Mathematics, Vol 8, Iss 12, Pp 30194-30208 (2023)
New characterizations for generalized inverses along the core parts of three matrix decompositions were investigated in this paper. Let $ A_{1} $, $ \hat{A}_{1} $ and $ \tilde{A}_{1} $ be the core parts of the core-nilpotent decomposition, the core-E
Externí odkaz:
https://doaj.org/article/93eeb7bbb9aa49d9ae7e93a57958891d
Publikováno v:
Symmetry, Vol 16, Iss 9, p 1103 (2024)
Symmetry plays a crucial role in the study of dual matrices and dual matrix group inverses. This paper is mainly divided into two parts. We present the definition of the spectral norm of a dual real matrix A^, (which is usually represented in the for
Externí odkaz:
https://doaj.org/article/77e6df9683ed44708f8867e7380fcb66
Autor:
Dayong Liu, Huanyin Chen
Publikováno v:
Mathematics, Vol 12, Iss 13, p 2042 (2024)
In this paper, we present new presentations of group inverses for the sum of two group invertible elements in a Banach algebra. We then apply these results to block complex matrices. The group invertibility of certain block complex matrices is thereb
Externí odkaz:
https://doaj.org/article/fe93dc14cf8d43538406effd78cecba8
Akademický článek
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Autor:
Wanlin Jiang, Kezheng Zuo
Publikováno v:
AIMS Mathematics, Vol 7, Iss 9, Pp 17369-17392 (2022)
In this paper, we introduce certain different characterizations and several new properties of the m-weak group inverse of a complex matrix. Also, the relationship between the m-weak group inverse and a nonsingular bordered matrix is established as we
Externí odkaz:
https://doaj.org/article/e4ab9fcfbfa14e06927e6232fd66bc63
Autor:
Tian Yongge
Publikováno v:
Demonstratio Mathematica, Vol 55, Iss 1, Pp 866-890 (2022)
A square complex matrix AA is said to be group invertible if there exists a matrix XX such that AXA=AAXA=A, XAX=XXAX=X, and AX=XAAX=XA hold, and such a matrix XX is called the group inverse of AA. The group invertibility of a matrix is one of the fun
Externí odkaz:
https://doaj.org/article/8659cbaa94264289bbecf343957b4ad6