Results 21 to 30 of about 2,351,945 (200)

An efficient second‐order neural network model for computing the Moore–Penrose inverse of matrices

IET Signal Processing, 2022
The computation of the Moore–Penrose inverse is widely encountered in science and engineering. Due to the parallel‐processing nature and strong‐learning ability, the neural network has become a promising approach to solving the Moore–Penrose inverse ...
Lin Li, Jianhao Hu
doaj   +1 more source

Minimal Rank Properties of Outer Inverses with Prescribed Range and Null Space

Mathematics, 2023
The purpose of this paper is to investigate solvability of systems of constrained matrix equations in the form of constrained minimization problems.
Dijana Mosić, Predrag S. Stanimirović, Spyridon D. Mourtas   +2 more
doaj   +1 more source

Series and Connections Among Central Factorial Numbers, Stirling Numbers, Inverse of Vandermonde Matrix, and Normalized Remainders of Maclaurin Series Expansions ^†

Mathematics
This paper presents an extensive investigation into several interrelated topics in mathematical analysis and number theory. The author revisits and builds upon known results regarding the Maclaurin power series expansions for a variety of functions and ...
Feng Qi
doaj   +1 more source

Diagonalization of the cross-product matrix

Examples and Counterexamples, 2023
The paper considers diagonalization of the cross-product matrices, i.e., skew-symmetric matrices of order three. A procedure to determine a nonsingular matrix, which yields the diagonalization is indicated.
Oskar Maria Baksalary, Götz Trenkler
doaj   +1 more source

Complex matrix inversion via real matrix inversions

Numerische Mathematik
29 pages, 8 ...
Zhen Dai, Lek-Heng Lim, Ke Ye
openaire   +3 more sources

A particular block Vandermonde matrix [PDF]

ITM Web of Conferences, 2019
The Vandermonde matrix is ubiquitous in mathematics and engineering. Both the Vandermonde matrix and its inverse are often encountered in control theory, in the derivation of numerical formulas, and in systems theory.
Yaici Malika, Hariche Kamel
doaj   +1 more source

Modified BFGS Update (H-Version) Based on the Determinant Property of Inverse of Hessian Matrix for Unconstrained Optimization

مجلة بغداد للعلوم, 2020
The study presents the modification of the Broyden-Flecher-Goldfarb-Shanno (BFGS) update (H-Version) based on the determinant property of inverse of Hessian matrix (second derivative of the objective function), via updating of the vector s ( the ...
Saad Shakir Mahmood
doaj   +1 more source

Calculating the Inverse Matrix After Some Elements in the Matrix Change

Mathematics
In the current paper two research issues are addressed. First, a new efficient computational formula is presented that can calculate the inverse of a matrix when two elements are perturbed. The formula extends the result of G. Zielke.
Wei Zheng, Weiguo Li
doaj   +1 more source

A recursive algorithm for computing the inverse of the Vandermonde matrix

Cogent Engineering, 2016
The inverse of a Vandermonde matrix has been used for signal processing, polynomial interpolation, curve fitting, wireless communication, and system identification.
Youness Aliyari Ghassabeh
doaj   +1 more source

Inversion of a perturbed matrix

Applied Mathematics Letters, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources