Results 41 to 50 of about 672 (66)

Similarity relations and exponential of dual-generalized complex matrices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this study, taking into account the fundamental properties of dual-generalized complex (DGC) matrices, various types of similarity relations are introduced considering coneigenvalues/coneigenvectors via di erent conjugates.
Gürses Nurten, Şentürk Gülsüm Yeliz
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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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Full column rank preservers that preserve semipositivity of matrices

Special Matrices, 2018
Left invertibility preservers on Mm,n(ℝ), m ≥ n, that preserve either semipositivity of matrices or the subset of minimally semipositive matrices are studied. We prove that such maps cannot be degenerate.
Arumugasamy Chandrashekaran, Jayaraman Sachindranath   +1 more
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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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On relationships between two linear subspaces and two orthogonal projectors

Special Matrices, 2019
Sum and intersection of linear subspaces in a vector space over a field are fundamental operations in linear algebra. The purpose of this survey paper is to give a comprehensive approach to the sums and intersections of two linear subspaces and their ...
Tian Yongge
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What is a proper graph Laplacian? An operator-theoretic framework for graph diffusion

Special Matrices
We introduce an operator-theoretic definition of a proper graph Laplacian as any matrix associated with a given graph that can be expressed as the composition of a divergence and a gradient operator, with the gradient acting between graph-related spaces ...
Estrada Ernesto
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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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Extensions of pseudo-Perron-Frobenius splitting related to generalized inverse AT,S(2)

Special Matrices, 2018
We in this paper define the outer-Perron-Frobenius splitting, which is an extension of the pseudo- Perron-Frobenius splitting defined in [A.N. Sushama, K. Premakumari, K.C.
Huang Shaowu, Wang Qing-Wen, Wu Shuxia, Yu Yaoming   +3 more
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The uniqueness of expression for generalized quadratic matrices

Open Mathematics
It is shown that the expression as A2=αA+βP{A}^{2}=\alpha A+\beta P for generalized quadratic matrices is not unique by numerical examples. Then it is proven that the uniqueness of expression for generalized quadratic matrices is concerned not only with ...
Chen Meixiang, Yang Zhongpeng, Chen Qinghua   +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