Results 11 to 20 of about 949,545 (177)
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
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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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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The Moore–Penrose Inverse and Product Decomposition of Idempotent Operators on Hilbert C*-Modules
AxiomsWe study the Moore–Penrose inverse of idempotent operators on Hilbert C*-modules. First, we extend the computation of the Moore–Penrose inverse of an idempotent operator and its difference from the range projection to this setting.
Wei Luo
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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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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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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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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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Expressions and characterizations for the Moore-Penrose inverse [PDF]
, 2023 Under certain conditions, we prove that the Moore-Penrose inverse of a sum of operators is the sum of the Moore-Penrose inverses. From this, we derive expressions and characterizations for the Moore-Penrose inverse of an operator that are useful for its ...
Patricia Morillas +2 more
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