Results 161 to 170 of about 7,621 (191)
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On the Moore–Penrose inverse of a sum of matrices
Linear and multilinear algebra, 2022The paper considers various problems concerned with the Moore–Penrose inverse of a sum of two matrices. By establishing several original results and by combining various facts known in the literature, the article reveals a number of emerging features of ...
Oskar Maria Baksalary +2 more
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Linear and multilinear algebra, 2022
In this paper, an algorithm is proposed to compute the inverse of an invertible matrix. The new algorithm is a generalization of the algorithms based on the well-known Schultz-type iterative methods.
Eisa Khosravi Dehdezi, S. Karimi
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In this paper, an algorithm is proposed to compute the inverse of an invertible matrix. The new algorithm is a generalization of the algorithms based on the well-known Schultz-type iterative methods.
Eisa Khosravi Dehdezi, S. Karimi
semanticscholar +1 more source
Perturbation Analysis for t-Product-Based Tensor Inverse, Moore-Penrose Inverse and Tensor System
Communication on Applied Mathematics and Computation, 2021This paper establishes some perturbation analysis for the tensor inverse, the tensor Moore-Penrose inverse, and the tensor system based on the t-product.
Zhengbang Cao, Pengpeng Xie
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Perturbation results and forward order law for the Moore–Penrose inverse in rings with involution
Georgian Mathematical Journal, 2022We investigate perturbations of the Moore–Penrose inverse and forward order law for the Moore–Penrose inverse in rings with involution, and thus we extend some results of Castro–Gonzalez and Hartwig to more general settings.
Nadica Mihajlović, D. Djordjevic
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IEEE Transactions on Instrumentation and Measurement
The 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 ...
Bing Zhang +3 more
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The 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 ...
Bing Zhang +3 more
semanticscholar +1 more source
Georgian Mathematical Journal
This paper is concerned with constructions and characterizations of matrix equalities that involve mixed products of Moore–Penrose inverses and group inverses of two matrices. We first construct a mixed reverse-order law ( A B ) † = B ∗ ( A ∗ A B
Yongge Tian
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This paper is concerned with constructions and characterizations of matrix equalities that involve mixed products of Moore–Penrose inverses and group inverses of two matrices. We first construct a mixed reverse-order law ( A B ) † = B ∗ ( A ∗ A B
Yongge Tian
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Multimodel Feature Reinforcement Framework Using Moore–Penrose Inverse for Big Data Analysis
IEEE Transactions on Neural Networks and Learning Systems, 2020Fully connected representation learning (FCRL) is one of the widely used network structures in multimodel image classification frameworks. However, most FCRL-based structures, for instance, stacked autoencoder encode features and find the final cognition
Wandong Zhang +3 more
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On the algebraic structure of the Moore-Penrose inverse of a polynomial matrix
IMA Journal of Mathematical Control and Information, 2021This work establishes the connection between the finite and infinite algebraic structure of singular polynomial matrices and their Moore–Penrose (MP) inverse. The uniqueness of the MP inverse leads to the assumption that such a relation must exist. It is
Ioannis S. Kafetzis, N. Karampetakis
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On matrices whose Moore–Penrose inverse is idempotent
Linear and multilinear algebra, 2020The paper investigates the class of square matrices which have idempotent Moore–Penrose inverse. A number of original characteristics of the class are derived and new properties identified.
O. Baksalary, G. Trenkler
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The Moore–Penrose inverse of tensors via the M-product
Computational and Applied Mathematics, 2023Hongwei Jin +3 more
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