Results 1 to 10 of about 23,557 (176)

Weak dual generalized inverse of a dual matrix and its applications [PDF]

open access: yesHeliyon, 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
doaj   +2 more sources

Reverse order law for outer inverses and Moore-Penrose inverse in the context of star order [version 1; peer review: 2 approved] [PDF]

open access: yesF1000Research, 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
doaj   +2 more sources

A Family of Arbitrary High-Order Iterative Methods for Approximating Inverse and the Moore–Penrose Inverse

open access: diamondCommunications 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
doaj   +3 more sources

Two Equal Range Operators on Hilbert $C^*$-modules [PDF]

open access: yesSahand 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
doaj   +1 more source

Further representations and computations of the generalized Moore-Penrose inverse

open access: yesAIMS 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
doaj   +1 more source

New characterizations of the generalized Moore-Penrose inverse of matrices

open access: yesAIMS 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
doaj   +1 more source

Invers Moore-Penrose pada Matriks Turiyam Simbolik Real

open access: yesJambura 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
doaj   +1 more source

A New Generalized Θ-Inverse vs. Moore-Penrose Structure: A Comparative Control-Oriented Practical Investigation

open access: yesIEEE 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
doaj   +1 more source

An efficient second‐order neural network model for computing the Moore–Penrose inverse of matrices

open access: yesIET 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
doaj   +1 more source

Aggregating distributed energy resources for grid flexibility services: A distributed game theoretic approach

open access: yesInternational 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
wiley   +1 more source

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