Results 11 to 20 of about 985,681 (229)
Numerical Range of Moore–Penrose Inverse Matrices [PDF]
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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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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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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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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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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On optimisation of Paganin's method for propagation‐based X‐ray phase‐contrast imaging and tomography [PDF]
Journal of Microscopy, Volume 303, Issue 1, Page 37-52, July 2026.Abstract Paganin's method for image reconstruction in propagation‐based phase‐contrast X‐ray imaging and tomography has enjoyed broad acceptance in recent years, with over one thousand publications citing its use. The present paper discusses approaches to optimisation of the method with respect to simple image quality metrics, such as signal‐to‐noise ...
Timur E. Gureyev +3 more
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A genuine extension of the Moore-Penrose inverse to dual matrices [PDF]
Journal of Computational and Applied Mathematics, 2023 The Moore-Penrose inverse is a genuine extension of the matrix inverse. Given a complex matrix, there uniquely exists another complex matrix satisfying the four Moore-Penrose conditions, and if the original matrix is nonsingular, it is exactly the ...
Chunfeng Cui, Liqun Qi
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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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