Results 1 to 10 of about 4,245 (213)
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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Weak dual generalized inverse of a dual matrix and its applications [PDF]
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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Reverse order law for outer inverses and Moore-Penrose inverse in the context of star order [version 1; peer review: 2 approved] [PDF]
F1000Research, 2022 The reverse order law for outer inverses and the Moore-Penrose inverse is discussed in the context of associative rings. A class of pairs of outer inverses that satisfy reverse order law is determined.
Manjunatha Prasad Karantha +1 more
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An efficient second‐order neural network model for computing the Moore–Penrose inverse of matrices [PDF]
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 [PDF]
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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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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