Results 111 to 120 of about 949,602 (209)

A New High-Order Stable Numerical Method for Matrix Inversion

The Scientific World Journal, 2014
A stable numerical method is proposed for matrix inversion. The new method is accompanied by theoretical proof to illustrate twelfth-order convergence. A discussion of how to achieve the convergence using an appropriate initial value is presented.
F. Khaksar Haghani, F. Soleymani
doaj   +1 more source

The Moore of the Moore-Penrose inverse

The Electronic Journal of Linear Algebra, 2002
E. H. Moore introduced and studied the general reciprocal during the decade 1910-1920. It was rediscovered by R. Penrose in 1955 and is nowadays called the Moore-Penrose inverse. It had to be rediscovered because Moore's work was sinking into oblivion even during his lifetime.
openaire   +2 more sources

On the generalized inverse Moore-Penrose matrix for multidimensional matrices

The article is devoted to dissemination of the known for the usual matrices generalized inverse Moore-Penrose matrix to the multidimensional matrices. At first, the generalized inverse Moore-Penrose matrix for the usual matrices is considered.
Mukha, V. S.
core  

Complex degenerate metrics in general relativity: a covariant extension of the Moore–Penrose algorithm

European Physical Journal C: Particles and Fields
The Moore–Penrose algorithm provides a generalized notion of an inverse, applicable to degenerate matrices. In this paper, we introduce a covariant extension of the Moore–Penrose method that permits to deal with general relativity involving complex non ...
Arthur Garnier, Emmanuele Battista
doaj   +1 more source

Optimizing the ordering of the Hadamard masks of ghost imaging suitable for the efficient face reconstruction using the max-projection method. [PDF]

Sci Rep, 2023
Zhang H, Du K, Zhao C, Tang J, Si S, Jia W, Xue L, Li Z.   +7 more
europepmc   +1 more source

INTERVAL ITERATIVE METHODS FOR COMPUTING MOORE-PENROSE INVERSE ∗

, 2008
In this paper, we import interval method to the iteration for computing Moore-Penrose inverse of the full row (or column) rank matrix. Through modifying the classical Newton iteration by interval method, we can get better numerical results.
Xian Zhang, Yimin Wei, Jianfeng Cai
core  

A Review on Large-Scale Data Processing with Parallel and Distributed Randomized Extreme Learning Machine Neural Networks

Mathematical and Computational Applications
The randomization-based feedforward neural network has raised great interest in the scientific community due to its simplicity, training speed, and accuracy comparable to traditional learning algorithms.
Elkin Gelvez-Almeida, Marco Mora, Ricardo J. Barrientos, Ruber Hernández-García, Karina Vilches-Ponce, Miguel Vera   +5 more
doaj   +1 more source

Moore-Penrose inverse and partial orders on Hilbert space operators

, 2022
In this article we explore several aspects concerning to the Moore-Penrose inverse of a bounded linear operator. On the one hand, we study monotonicity properties of the Moore-Penrose inverse with respect to the L\"owner, star, minus, sharp and diamond ...
Gonzalez, María Celeste, Fongi, Guillermina   +1 more
core  

Existence Criteria and Related Relation of the gMP Inverse of Matrices

Mathematics
New characterizations of the gMP inverse are provided by the core part of the core-EP decomposition. We also answer the question as to whether X is the gMP inverse of A under the conditions of R(X)⊆R(A*Ak) or N((Ak)*)⊆N(X).
Sanzhang Xu, Honglin Zou, Kezheng Zuo
doaj   +1 more source

Analysis of (1,2,3,4)-Type Inverses in Neutrosophic Hyper Soft Rough Fuzzy Matrices

Neutrosophic Sets and Systems
In this paper, we introduce a method for determining the generalized inverse (g-inverse) and the Moore-Penrose inverse of Neutrosophic Hyper Soft Rough Fuzzy Matrices (NHSRFMs), along with the necessary conditions.
G. Punithavalli, K. Ramany
doaj   +1 more source