Results 11 to 20 of about 103 (100)

Diagonalisasi matriks atas ring dengan metode pemfaktoran secara lengkap

Majalah Ilmiah Matematika dan Statistika
Generally, discussion about diagonalization of matrices in linear algebra is a matrix over the field. This research presents the diagonalization of matrices over commutative rings.
Nikita Nikita, Ari Suparwanto, Sutopo Sutopo   +2 more
doaj   +2 more sources

IDDM YARDIMIYLA TERS MATRİS HESAPLAMA

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009
Özet: Bu çalışmada, lineer cebirsel denklem sistemlerinin çözümü için (KESKİN & AYDIN 2007) de verilen iteratif boyut indirgeme metodunu (IDDM) kullanarak verilen regüler matrisin tersini bulan bir metod geliştirdik.
Ali Osman ÇIBIKDİKEN
doaj   +1 more source

The dual index and dual core generalized inverse

Open Mathematics, 2023
In this article, we introduce the dual index and dual core generalized inverse (DCGI). By applying rank equation, generalized inverse, and matrix decomposition, we give several characterizations of the dual index when it is equal to 1. We realize that if
Wang Hongxing, Gao Ju
doaj   +1 more source

Characterizations of the group invertibility of a matrix revisited

Demonstratio Mathematica, 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.
Tian Yongge
doaj   +1 more source

Displacement structure of the DMP inverse

Open Mathematics, 2022
A matrix AA is said to have the displacement structure if the rank of the Sylvester displacement AU−VAAU-VA or the Stein displacement A−VAUA-VAU is much smaller than the rank of AA.
Zhong Jin, Yang Hong
doaj   +1 more source

The group inverse of circulant matrices depending on four parameters

Special Matrices, 2021
Explicit expressions for the coefficients of the group inverse of a circulant matrix depending on four complex parameters are analytically derived. The computation of the entries of the group inverse are now reduced to the evaluation of a polynomial ...
Carmona A., Encinas A.M., Jimenez M.J., Mitjana M.   +3 more
doaj   +1 more source

The 𝔪-WG° inverse in the Minkowski space

Open Mathematics, 2023
In this article, we study the m{\mathfrak{m}}-WG∘{}^{\circ } inverse which presents a generalization of the m{\mathfrak{m}}-WG inverse in the Minkowski space. We first show the existence and the uniqueness of the generalized inverse.
Liu Xiaoji, Zhang Kaiyue, Jin Hongwei
doaj   +1 more source

A combinatorial expression for the group inverse of symmetric M-matrices

Special Matrices, 2021
By using combinatorial techniques, we obtain an extension of the matrix-tree theorem for general symmetric M-matrices with no restrictions, this means that we do not have to assume the diagonally dominance hypothesis.
Carmona A., Encinas A.M., Mitjana M.
doaj   +1 more source

Matrix rank and inertia formulas in the analysis of general linear models

Open Mathematics, 2017
Matrix mathematics provides a powerful tool set for addressing statistical problems, in particular, the theory of matrix ranks and inertias has been developed as effective methodology of simplifying various complicated matrix expressions, and ...
Tian Yongge
doaj   +1 more source

Diagonal dominance and invertibility of matrices

Special Matrices, 2023
A weakly diagonally dominant matrix may or may not be invertible. We characterize, in terms of combinatorial structure and sign pattern when such a matrix is invertible, which is the common case. Examples are given.
Johnson Charles Royal, Marijuán Carlos, Pisonero Miriam   +2 more
doaj   +1 more source