Results 1 to 10 of about 985,681 (229)

Berezin number and Berezin norm inequalities via Moore-Penrose inverse

Journal of Pseudo-Differential Operators and Applications
In this article, we establish the Berezin number and Berezin norm inequalities for bounded linear operators on a reproducing kernel Hilbert space using the Moore-Penrose inverse. Our results obtained refine and generalize some previously related results.
Saikat Mahapatra, Anirban Sen, R. Birbonshi, Kallol Paul   +3 more
semanticscholar   +1 more source

A Novel Zeroing Neural Model for Solving Dynamic Matrix Moore-Penrose Inverse and Its Application to Visual Servoing Control of Manipulator

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, Shuai Li, Xinglong Chen, Yao Mao   +3 more
semanticscholar   +1 more source

On matrices whose Moore–Penrose inverse is idempotent

Linear and multilinear algebra, 2020
The 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
semanticscholar   +1 more source

On the algebraic structure of the Moore-Penrose inverse of a polynomial matrix

IMA Journal of Mathematical Control and Information, 2021
This 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
semanticscholar   +1 more source

Multimodel Feature Reinforcement Framework Using Moore–Penrose Inverse for Big Data Analysis

IEEE Transactions on Neural Networks and Learning Systems, 2020
Fully 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, Q. M. J. Wu, Yimin Yang, T. Akilan   +3 more
semanticscholar   +1 more source

Utilization of the Moore-Penrose inverse in the modeling of overconstrained mechanisms with frictionless and frictional joints

, 2020
The indeterminate equations that describe overconstrained mechanisms are often solved using the Moore-Penrose inverse. Some limitations of this approach are investigated here. Firstly, frictionless systems are considered.
M. Wojtyra, M. Pękal, J. Frączek
semanticscholar   +1 more source

Computing the Moore-Penrose inverse using its error bounds

Applied Mathematics and Computation, 2020
A new iterative scheme for the computation of the Moore-Penrose generalized inverse of an arbitrary rectangular or singular complex matrix is proposed.
P. Stanimirović, Falguni Roy, D. K. Gupta, S. Srivastava   +3 more
semanticscholar   +1 more source

The Moore–Penrose inverse of tensors via the M-product

Computational and Applied Mathematics, 2023
Hongwei Jin, Shumin Xu, Yuzhen Wang, Xiaoji Liu   +3 more
semanticscholar   +1 more source

Improved recurrent neural networks for online solution of Moore‐Penrose inverse applied to redundant manipulator kinematic control

Asian journal of control, 2018
In this paper, two novel neural networks (NNNs), namely NNN‐L and NNN‐R neural models, are proposed to online left and right Moore‐Penrose inversion. As compared to GNN (gradient neural network) and the recently proposed ZNN (Zhang neural network) for ...
Xuanjiao Lv, Zhiguo Tan, Ke Chen, Zhi Yang   +3 more
semanticscholar   +1 more source

Perturbations of Moore-Penrose inverse and dual Moore-Penrose generalized inverse

Journal of Applied Mathematics and Computation, 2023
Chong Cui, Hongxing Wang, Yimin Wei
semanticscholar   +1 more source