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On matrix convexity of the Moore-Penrose inverse [PDF]
International Journal of Mathematics and Mathematical Sciences, 1996 Matrix convexity of the Moore-Penrose inverse was considered in the recent literature. Here we give some converse inequalities as well as further generalizations.
B. Mond, J. E. Pecaric
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An efficient second‐order neural network model for computing the Moore–Penrose inverse of matrices
IET Signal Processing, 2022 The computation of the Moore–Penrose inverse is widely encountered in science and engineering. Due to the parallel‐processing nature and strong‐learning ability, the neural network has become a promising approach to solving the Moore–Penrose inverse ...
Lin Li, Jianhao Hu
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Invers Moore-Penrose pada Matriks Turiyam Simbolik Real
Jambura Journal of Mathematics, 2023 The symbolic Turiyam matrix is a matrix whose entries contain symbolic Turiyam. Inverse matrices can generally be determined if the matrix is a non-singular square matrix. Currently the inverse of the symbolic Turiyam matrix of size m × n with m 6= n can
Ani Ani, Mashadi Mashadi, Sri Gemawati
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The Moore--Penrose Generalized Inverse for Sums of Matrices [PDF]
SIAM Journal on Matrix Analysis and Applications, 2000 Recall, that the Moore-Penrose generalized inverse of an \(m \times n\) matrix \(A\) is the unique matrix \(A^\perp\) satisfying \(AA^\perp A=A\), \(A^\perp AA^\perp=A^\perp\), \(AA^\perp\) and \(A^\perp A\) are Hermitian. In their main result (theorem 3) the authors find the formula for \((A+B)^\perp\) for \(n \times n\) matrices \(A\) and \(B\) in ...
James Allen Fill, Donniell E. Fishkind
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On Nonnegative Moore-Penrose Inverses of Perturbed Matrices
Journal of Applied Mathematics, 2013 Nonnegativity of the Moore-Penrose inverse of a perturbation of the form is considered when . Using a generalized version of the Sherman-Morrison-Woodbury formula, conditions for to be nonnegative are derived.
Shani Jose, K. C. Sivakumar
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The Moore–Penrose inverse of a companion matrix
Linear Algebra and Its Applications, 2012 Let \(R\) be a ring with identity and endowed with an involution. Let \({\mathcal M}_{m \times n} (R)\) denote the set of all matrices with \(m\) rows and \(n\) columns, with entries coming from \(R\). Let \(*\) be the involution on \({\mathcal M}_{m \times n} (R)\) induced by the involution on \(R\).
Pedro Patricio
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Two Equal Range Operators on Hilbert $C^*$-modules [PDF]
Sahand Communications in Mathematical Analysis, 2021 In this paper, number of properties, involving invertibility, existence of Moore-Penrose inverse and etc for modular operators with the same ranges on Hilbert $C^*$-modules are presented.
Ali Reza Janfada, Javad Farokhi-Ostad
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Weak dual generalized inverse of a dual matrix and its applications
Heliyon, 2023 Recently, the dual Moore-Penrose generalized inverse has been applied to study the linear dual equation when the dual Moore-Penrose generalized inverse of the coefficient matrix of the linear dual equation exists.
Hong Li, Hongxing Wang
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IEEE Access, 2021 A new non-unique $\Theta $ -inverse of non-square polynomial matrices is presented in this paper. It is shown that the above inverse specializes to the unique Moore-Penrose one under several specific assumptions.
Wojciech P. Hunek
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Existence of Moore-Penrose inverses in rings with involution [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2018 We give necessary and sufficient conditions for the existence of the Moore-Penrose inverse of an element in a ring with involution. If R is a ring with involution, we also investigate the existence of the Moore-Penrose inverse of the product 1 2 n x
Wannisa Apairat, Sompong Chuysurichay
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