Results 41 to 50 of about 772 (64)

Skew-symmetric matrices related to the vector cross product in ℂ7

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
Skew-symmetric matrices of order 7 defined through the 2-fold vector cross product in ℂ7, and other related matrices, are presented. More concretely, matrix properties, namely invertibility, nullspace, powers and index, are studied.
Beites P. D., Nicolás A. P., Vitória José   +2 more
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A note on the formulas for the Drazin inverse of the sum of two matrices

Open Mathematics, 2019
In this paper we derive the formula of (P + Q)D under the conditions Q(P + Q)P(P + Q) = 0, P(P + Q)P(P + Q) = 0 and QPQ2 = 0. Then, a corollary is given which satisfies the conditions (P + Q)P(P + Q) = 0 and QPQ2 = 0. Meanwhile, we show that the additive
Liu Xin, Yang Xiaoying, Wang Yaqiang
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Weak group inverse

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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Towards finding equalities involving mixed products of the Moore-Penrose and group inverses by matrix rank methodology

Demonstratio Mathematica
Given a square matrix AA, we are able to construct numerous equalities involving reasonable mixed operations of AA and its conjugate transpose A∗{A}^{\ast }, Moore-Penrose inverse A†{A}^{\dagger } and group inverse A#{A}^{\#}. Such kind of equalities can
Tian Yongge
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Inverses and eigenvalues of diamondalternating sign matrices

Special Matrices, 2014
An n × n diamond alternating sign matrix (ASM) is a (0, +1, −1)-matrix with ±1 entries alternatingand arranged in a diamond-shaped pattern. The explicit inverse (for n even) or generalized inverse (for nodd) of a diamond ASM is derived.
Catral Minerva, Lin Minghua, Olesky D. D., van den Driessche P.   +3 more
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A Hadamard product involving inverse-positive matrices

Special Matrices, 2015
In this paperwe study the Hadamard product of inverse-positive matrices.We observe that this class of matrices is not closed under the Hadamard product, but we show that for a particular sign pattern of the inverse-positive matrices A and B, the Hadamard
Gassó Maria T., Torregrosa Juan R., Abad Manuel F.   +2 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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Singular M-matrices which may not have a nonnegative generalized inverse

Special Matrices, 2014
A matrix A ∈ ℝn×n is a GM-matrix if A = sI − B, where 0 < ρ(B) ≤ s and B ∈WPFn i.e., both B and Bthave ρ(B) as their eigenvalues and their corresponding eigenvector is entry wise nonnegative.
Sushama Agrawal N., Premakumari K., Sivakumar K.C.   +2 more
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Weak dual generalized inverse of a dual matrix and its applications. [PDF]

Heliyon, 2023
Li H, Wang H.
europepmc   +1 more source

On the convergence theory of double K-weak splittings of type II. [PDF]

Appl Math (Prague), 2022
Shekhar V, Mishra N, Mishra D.
europepmc   +1 more source