Results 31 to 40 of about 458,395 (307)
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 group inverse of some circulant matrices
Linear Algebra and its Applications, 2021 In a previous work the authors presented the necessary and sufficient conditions for the invertibility of some circulant matrices that depend on three real parameters and, moreover, we obtained a closed formula for their inverse. The techniques we used allowed us to reduce the computational cost of evaluating the inverse.
Carmona Mejías, Ángeles +3 more
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Trace inequalities for positive semidefinite matrices
Discussiones Mathematicae - General Algebra and Applications, 2017 Certain trace inequalities for positive definite matrices are generalized for positive semidefinite matrices using the notion of the group generalized inverse.
Choudhury Projesh Nath, Sivakumar K.C.
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Matrix inverses along the core parts of three matrix decompositions
AIMS Mathematics, 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-EP ...
Xiaofei Cao +4 more
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On the continuity of the group inverse in $C^*$-algebras [PDF]
Banach Journal of Mathematical Analysis, 2014 [EN] Let {a_n} be a sequence of group invertible elements of a unital C* algebra A that converges to a. We present some equivalent conditions for the group invertibility of a and for the convergence of {a^#_n} to a#.
Benítez López, Julio +2 more
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Resistance Distance and Kirchhoff Index of
IEEE Access, 2019 Let Q(G) be the graph derived from G by inserting a new vertex into every edge of G and by connecting edges of these new vertices that are on adjacent edges of G, and Q-double join of G, G1 and G2 denoted by GQ v{G1, G2}, is the graph derived from Q(G ...
Weizhong Wang, Tingyan Ma, Jia-Bao Liu
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Advancing Structural Health Monitoring with Deep Belief Network-Based Classification
MathematicsStructural health monitoring (SHM) plays a critical role in ensuring the safety and longevity of civil infrastructure by enabling the early detection of structural changes and supporting preventive maintenance strategies.
Álvaro Presno Vélez +2 more
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Gait Initiation Impairment in Patients with Parkinson’s Disease and Freezing of Gait
Bioengineering, 2022 Freezing of gait (FOG) is a sudden episodic inability to produce effective stepping despite the intention to walk. It typically occurs during gait initiation (GI) or modulation and may lead to falls.
Chiara Palmisano +5 more
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The (2,2,0) group inverse problem [PDF]
Applied Mathematics and Computation, 2010 Abstract We characterize the existence of the group inverse of a two by two matrix with zero (2, 2) entry, over a ring by means of the existence of the inverse of a suitable function of the other three entries. Some special cases are derived.
Patrício, Pedro, Hartwig, Robert E.
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AIMS MathematicsIn seismic data processing, both in inversion (Inverse Processing) and modeling (Direct Processing), it is essential to consider anisotropy to unravel the geological structure of the subsoil. Besides, in most cases, the macroscopic model of anisotropy in
Luis M. Pedruelo-González +1 more
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