Results 11 to 20 of about 213 (116)
Group inverse of finite potent endomorphisms on arbitrary vector spaces
, 2020 The aim of this work is to introduce the group inverse of a finite potent endomorphism on an infinite-dimensional vector space that generalizes the notion of group inverse of a square finite matrix. The existence and uniqueness of this inverse is proved,
F. Romo
semanticscholar +1 more source
The đȘ-WG° inverse in the Minkowski space
Open Mathematics, 2023 In this article, we study the m{\mathfrak{m}}-WGâ{}^{\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
g-Drazin inverses for operator matrices
, 2020 Additive results for the generalized Drazin inverse of Banach space operators are presented. Suppose the bounded linear operators a and b on an arbitrary complex Banach space have generalized Drazin inverses.
Huanzhen Chen, M. Abdolyousefi
semanticscholar +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
Left and right generalized Drazin invertible operators on Banach spaces and applications
Operators and Matrices, 2019 In this paper, left and right generalized Drazin invertible operators on Banach spaces are defined and characterized by means of the generalized Kato decomposition. Then, new binary relations associated with these operators are presented and studied.
D. E. Ferreyra, F. Levis, N. Thome
semanticscholar +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 +2 more
doaj +1 more source
Characteristic polynomial, determinant and inverse of a Fibonacci-Sylvester-Kac matrix
Special Matrices, 2021 In this paper, we consider a new Sylvester-Kac matrix, i.e., Fibonacci-Sylvester-Kac matrix. We discuss the eigenvalues, eigenvectors and characteristic polynomial of this matrix in two categories based on whether the Fibonacci-Sylvester-Kac matrix order
Jiang Zhaolin, Zheng Yanpeng, Li Tianzi
doaj +1 more source
Matrix Analysis for Continuous-Time Markov Chains
Special Matrices, 2021 Continuous-time Markov chains have transition matrices that vary continuously in time. Classical theory of nonnegative matrices, M-matrices and matrix exponentials is used in the literature to study their dynamics, probability distributions and other ...
Le Hung V., Tsatsomeros M. J.
doaj +1 more source
, 2020 One of the typical forms of linear matrix expressions (linear matrix-valued functions) is given by A + B1X1C1 + · · · + BkXkCk, where X1, . . . , Xk are independent variable matrices of appropriate sizes, which include almost all matrices with unknown ...
Yongge Tian
semanticscholar +1 more source