Results 11 to 20 of about 15,121,811 (367)
Further characterizations of the m-weak group inverse of a complex matrix
AIMS Mathematics, 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 well ...
Wanlin Jiang, Kezheng Zuo
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Perturbation of Dual Group Generalized Inverse and Group Inverse
SymmetrySymmetry 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 form A^=A+εA0, A and A0 are, respectively, the standard part and the infinitesimal part of A^) and two ...
Tianhe Jiang, Hongxing Wang, Yimin Wei
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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. +3 more
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Further characterizations of the weak group inverse of matrices and the weak group matrix
AIMS Mathematics, 2021 This paper is devoted to consider some new characteristics and properties of the weak group inverse and the weak group matrix. First, we characterize the weak group inverse of a square matrix based on its range space and null space.
Hui Yan +3 more
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The m-weak group inverse for rectangular matrices
Electronic Research ArchiveAn 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).
D. Mosić +2 more
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New Representations of the Group Inverse of 2×2 Block Matrices
Journal of Applied Mathematics, 2013 This paper presents a full rank factorization of a 2×2 block matrix without any restriction concerning the group inverse. Applying this factorization, we obtain an explicit representation of the group inverse in terms of four individual blocks of the ...
Xiaoji Liu, Qi Yang, Hongwei Jin
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Group Inverse-Gamma Gamma Shrinkage for Sparse Linear Models with Block-Correlated Regressors [PDF]
Bayesian Analysis, 2021 Heavy-tailed continuous shrinkage priors, such as the horseshoe prior, are widely used for sparse estimation problems. However, there is limited work extending these priors to predictors with grouping structures.
Jonathan Boss +5 more
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The group inverse of subdivision networks [PDF]
, 2016 In this paper, given a network and a subdivision of it, we show how the Group Inverse of the subdivision network can be related to the Group Inverse of initial given network.
Carmona Mejías, Ángeles +2 more
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On the graph condition regarding the $F$-inverse cover problem [PDF]
, 2015 In their paper titled "On $F$-inverse covers of inverse monoids", Auinger and Szendrei have shown that every finite inverse monoid has an $F$-inverse cover if and only if each finite graph admits a locally finite group variety with a certain property. We
Szakács, Nóra
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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.
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