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Perturbations of Moore-Penrose inverse and dual Moore-Penrose generalized inverse
Journal of Applied Mathematics and Computing, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yimin Wei, Hongxing Wang
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Generalization of the Moore–Penrose inverse
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dijana Mosić
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Weighted generalized Moore–Penrose inverse
Georgian Mathematical Journal, 2023Abstract The aim of this paper is to present the weighted generalized Moore–Penrose inverse of an operator between two Hilbert spaces as an extension of the Moore–Penrose inverse and the generalized Moore–Penrose inverse defined for an operator on a Hilbert space.
Dijana Mosić
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On the Moore–Penrose generalized inverse matrix
Applied Mathematics and Computation, 2004Different methods for computing the Moore-Penrose inverse (MPI) matrix are reviewed. For the MPI of a matrix product, four mixed type reverse order laws are established. Some relevant numerical computations are given.
Medhat Rakha
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The representation and approximation for the weighted Moore–Penrose inverse
Applied Mathematics and Computation, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yimin Wei, Hebing Wu
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The weighted Moore–Penrose inverse of modified matrices
Applied Mathematics and Computation, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yimin Wei
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Expression for the perturbation of the weighted Moore-Penrose inverse [PDF]
We consider the perturbation formula for the weighted Moore-Penrose inverse of a rectangular matrix and give an explicit expression for the weighted Moore-Penrose inverse of a perturbed matrix under the weakest rank condition.
Yimin Wei, Hebing Wu
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Enclosing Moore–Penrose inverses
Calcolo, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Perturbation Analysis of the Moore-Penrose Inverse and the Weighted Moore-Penrose Inverse
2018Let A be a given matrix. When computing a generalized inverse of A, due to rounding error, we actually obtain the generalized inverse of a perturbed matrix \(B=A+E\) of A. It is natural to ask if the generalized inverse of B is close to that of A when the perturbation E is sufficiently small.
Guorong Wang, Yimin Wei, Sanzheng Qiao
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