Results 111 to 120 of about 992,721 (210)

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  

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 covariance of the Moore-Penrose inverse

Linear Algebra and its Applications, 1984
Let A be an \(n\times n\) matrix and T an invertible matrix of the same order. If A is invertible, then, of course, \((TAT^{-1})^{-1}=TA^{- 1}T^{-1}\) and A is covariant under the general linear group. If A is arbitrary and the inverse is replaced by the Moore-Penrose inverse then A is no longer covariant under the full linear group. Given A the author
openaire   +2 more sources

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

The Moore-Penrose inverse over a commutative ring

, 1992
Let R be a commutative ring with 1 and with an involution a → ā, and let MR be the category of finite matrices over R with the involution (aij) → (aij)∗ = (āji).
R.B. Bapat, Robinson, Donald W., Donald W. Robinson, Bapat, R. B.   +3 more
core   +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

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

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

THE MOORE–PENROSE INVERSE OF SYMMETRIC MATRICES WITH EQUITABLE PARTITIONS AND DIVISOR MATRICES

A balanced partitioned symmetric matrix is a matrix that has partition blocks that have the same average number of rows and columns. The sum of these average rows and columns is then arranged into a matrix, which is called the divisor matrix. The purpose
Yanita Yanita, Monika Rianti Helmi, Desi Lira Antika   +2 more
core   +1 more source