Results 11 to 20 of about 23,672 (221)
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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International Journal of Robust and Nonlinear Control, EarlyView., 2023 Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen +3 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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Existence of Moore-Penrose inverses in rings with involution [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2018 We give necessary and sufficient conditions for the existence of the Moore-Penrose inverse of an element in a ring with involution. If R is a ring with involution, we also investigate the existence of the Moore-Penrose inverse of the product 1 2 n x
Wannisa Apairat, Sompong Chuysurichay
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IEEE Access, 2023 The computation of the Moore–Penrose generalized inverse is a commonly used operation in various fields such as the training of neural networks based on random weights.
Elkin Gelvez-Almeida +3 more
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Calculating the Moore–Penrose Generalized Inverse on Massively Parallel Systems
Algorithms, 2022 In this work, we consider the problem of calculating the generalized Moore–Penrose inverse, which is essential in many applications of graph theory.
Vukašin Stanojević +4 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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On the mean and variance of the estimated tangency portfolio weights for small samples
Modern Stochastics: Theory and Applications, 2022 In this paper, a sample estimator of the tangency portfolio (TP) weights is considered. The focus is on the situation where the number of observations is smaller than the number of assets in the portfolio and the returns are i.i.d.
Gustav Alfelt, Stepan Mazur
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The dual index and dual core generalized inverse
Open Mathematics, 2023 In this article, we introduce the dual index and dual core generalized inverse (DCGI). By applying rank equation, generalized inverse, and matrix decomposition, we give several characterizations of the dual index when it is equal to 1. We realize that if
Wang Hongxing, Gao Ju
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The Moore-Penrose inverse of differences and products of projectors in a ring with involution [PDF]
, 2016 In this paper, we study the Moore–Penrose inverses of differences and products of projectors in a ring with involution. Some necessary and sufficient conditions for the existence of the Moore–Penrose inverse are given.
Chen, Jianlong +2 more
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