Further representations and computations of the generalized Moore-Penrose inverse
AIMS Mathematics, 2023 The aim of this paper is to provide new representations and computations of the generalized Moore-Penrose inverse. Based on the Moore-Penrose inverse, group inverse, Bott-Duffin inverse and certain projections, some representations for the generalized ...
Kezheng Zuo, Yang Chen, Li Yuan
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New characterizations of the generalized Moore-Penrose inverse of matrices
AIMS Mathematics, 2022 Some new characterizations of the generalized Moore-Penrose inverse are proposed using range, null space, several matrix equations and projectors. Several representations of the generalized Moore-Penrose inverse are given.
Yang Chen, Kezheng Zuo, Zhimei Fu
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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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A Neural Network for Moore–Penrose Inverse of Time-Varying Complex-Valued Matrices
International Journal of Computational Intelligence Systems, 2020 The Moore–Penrose inverse of a matrix plays a very important role in practical applications. In general, it is not easy to immediately solve the Moore–Penrose inverse of a matrix, especially for solving the Moore–Penrose inverse of a complex-valued ...
Yiyuan Chai +4 more
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A Novel Zeroing Neural Model for Solving Dynamic Matrix Moore-Penrose Inverse and its Application to Visual Servoing Control of Manipulator [PDF]
IEEE Transactions on Instrumentation and MeasurementThe dynamic Moore-Penrose inverse solution has attracted increasing attention because of its wide range of applications. The use of zeroing neural networks to solve the inverse problem of dynamic matrices has become a popular topic in recent years ...
Chen, Xinglong +3 more
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Numerical Range of Moore–Penrose Inverse Matrices
Mathematics, 2020 Let A be an n-by-n matrix. The numerical range of A is defined as W ( A ) = { x * A x : x ∈ C n , x * x = 1 } . The Moore–Penrose inverse A + of A is the unique matrix satisfying A A + A = A , A + A A + = A ...
Mao-Ting Chien
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Communications in Advanced Mathematical Sciences, 2020 In this work, a family of iterative algorithms for approximating the inverse of a square matrix and the Moore-Penrose inverse of a non-square one is proposed.
Esmaeil Kokabifar
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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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Spectral permanence for the Moore-Penrose inverse [PDF]
Proceedings of the American Mathematical Society, 2012 Dragan S. Djordjević +2 more
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