Results 221 to 230 of about 28,414 (283)

Generalization of the Moore–Penrose inverse

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020
In order to extend the notation of the Moore–Penrose inverse from an operator with closed range to a generalized Drazin invertible operator, we present a new generalized inverse which is called the generalized Moore–Penrose inverse. We consider a number of characterizations and different representations of the generalized Moore–Penrose inverse ...
Katarina S. Stojanović, Dijana Mosić
openaire   +3 more sources

Blockwise Recursive Moore–Penrose Inverse for Network Learning

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2022
Training neural networks with the Moore–Penrose (MP) inverse has recently gained attention in view of its noniterative training nature. However, a significant drawback of learning based on the MP inverse is that the computational memory consumption grows
Huiping Zhuang, Zhiping Lin, Kar-Ann Toh
semanticscholar   +1 more source

Weighted generalized Moore–Penrose inverse

Georgian Mathematical Journal, 2023
The aim of this paper is to present the weighted generalized Moore–Penrose inverse of an operator between two Hilbert spaces as an extension of the Moore–Penrose inverse and the generalized Moore–Penrose inverse defined for an operator on a Hilbert space.
D. Mosić
semanticscholar   +1 more source

Multimodal Moore–Penrose Inverse-Based Recomputation Framework for Big Data Analysis

IEEE Transactions on Neural Networks and Learning Systems, 2022
Most multilayer Moore–Penrose inverse (MPI)-based neural networks, such as deep random vector functional link (RVFL), are structured with two separate stages: unsupervised feature encoding and supervised pattern classification.
Wandong Zhang, Yimin Yang, Q. M. J. Wu, Tianlei Wang, Hui Zhang   +4 more
semanticscholar   +1 more source

GIBS: a general and efficient iterative method for computing the approximate inverse and Moore–Penrose inverse of sparse matrices based on the Schultz iterative method with applications

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
semanticscholar   +1 more source

On the Moore–Penrose inverse of a sum of matrices

Linear and multilinear algebra, 2022
The 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, K. Sivakumar, G. Trenkler   +2 more
semanticscholar   +1 more source

Perturbation results and forward order law for the Moore–Penrose inverse in rings with involution

Georgian Mathematical Journal, 2022
We 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
semanticscholar   +1 more source

A fast and efficient Newton-Shultz-type iterative method for computing inverse and Moore-Penrose inverse of tensors

, 2021
A fast and efficient Newton-Shultz-type iterative method  is presented to compute the inverse of an invertible tensor. Analysis of the convergence error shows that the proposed method has the sixth order convergence.
Eisa Khosravi Dehdezi, S. Karimi
semanticscholar   +1 more source