Results 11 to 20 of about 561,362 (306)
Open Mathematics, 2018 In this paper, we introduce the weak group inverse (called as the WG inverse in the present paper) for square complex matrices of an arbitrary index, and give some of its characterizations and properties.
Wang Hongxing, Chen Jianlong
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The group inverse of subdivision networks [PDF]
Electronic Notes in Discrete Mathematics, 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. Our approach establishes a relationship between solutions of related Poisson problems on both networks and takes advantatge on the definition of the Group Inverse matrix.
Carmona Mejías, Ángeles +2 more
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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 +2 more
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On the Non-Inverse Graph of a Group
Discussiones Mathematicae - General Algebra and Applications, 2022 Let (G, *) be a finite group and S = {u ∈ G|u ≠ u−1}, then the inverse graph is defined as a graph whose vertices coincide with G such that two distinct vertices u and v are adjacent if and only if either u * v ∈ S or v * u ∈ S.
Amreen Javeria, Naduvath Sudev
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The (2,2,0) group inverse problem [PDF]
Applied Mathematics and Computation, 2010 The authors characterize the existence of the group inverse of the block matrix \[ M=\left( \begin{matrix} A & C \\ B & 0 \end{matrix} \right), \] with zero \((2,2)\) entry, over a ring by means of the existence of the inverse of a suitable expression of the other three blocks \(A\), \(B\), \(C\) and their g-inverses, such as inner inverses or Drazin ...
Pedro Patrício, R. E. Hartwig
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Weighted MP weak group inverse
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaTo 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.
Mosić Dijana, Marovt Janko
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On the continuity of the group inverse [PDF]
Operators and Matrices, 2012 Supported by Spanish Project MTM2010-18539. Supported by grants (HCIC201103) of Guangxi Key Laboratory of Hybrid Computational and IC Design Analysis Open Fund.
Benítez López, Julio, LIU, XIAOJI
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Bayesian Random Tomography of Particle Systems
Frontiers in Molecular Biosciences, 2021 Random tomography is a common problem in imaging science and refers to the task of reconstructing a three-dimensional volume from two-dimensional projection images acquired in unknown random directions. We present a Bayesian approach to random tomography.
Nima Vakili +2 more
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Explicit solutions of infinite linear systems associated with group inverse endomorphisms [PDF]
, 2022 summary:The aim of this note is to offer an algorithm for studying solutions of infinite linear systems associated with group inverse endomorphisms.
Pablos Romo, Fernando
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Robust pathway sampling in phenotype prediction. Application to triple negative breast cancer
BMC Bioinformatics, 2020 Background Phenotype prediction problems are usually considered ill-posed, as the amount of samples is very limited with respect to the scrutinized genetic probes.
Ana Cernea +7 more
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