Results 41 to 50 of about 1,429,804 (373)

A formula for complex zonal polynomials of second order

Revista de Matemática: Teoría y Aplicaciones, 2009
A formula for complex zonal polynomials of second order is derived by solving a particular partial differential equation. Keywords: Laplace-Beltrami operator, zonal polynomials, Hermitian matrix, Legendre’s differential equation.
Francisco J. Caro Lopera, Graciela González Farías, José A. Díaz García   +2 more
doaj   +1 more source

Inverse properties of a class of seven-diagonal (near) Toeplitz matrices

Special Matrices, 2021
This paper presents the explicit inverse of a class of seven-diagonal (near) Toeplitz matrices, which arises in the numerical solutions of nonlinear fourth-order differential equation with a finite difference method.
Kurmanbek Bakytzhan, Erlangga Yogi, Amanbek Yerlan   +2 more
doaj   +1 more source

On the benefits of the LDLT factorization for large-scale differential matrix equation solvers

, 2015
Norman Lang, Hermann Mena, Jens Saak
openalex   +2 more sources

Extended block Hessenberg method for large-scale Sylvester differential matrix equations [PDF]

Journal of Mahani Mathematical Research
In this paper, we consider large-scale low-rank Sylvester differential matrix equations. We present two iterative methods for the approximate solution of such differential matrix equations. In the first method, exploiting the extended block Krylov method,
Azita Tajaddini
doaj   +1 more source

Asymptotically almost periodic solutions for certain differential equations with piecewise constant arguments

Advances in Difference Equations, 2020
It is well known that differential equations with piecewise constant arguments is a class of functional differential equations, which has fascinated many scholars in recent years.
Zonghong Feng, Yong Wang, Xin Ma
doaj   +1 more source

Combining a fractional diffusion equation and a fractional viscosity-based magneto dynamic model to simulate the ferromagnetic hysteresis losses

AIP Advances, 2022
Magnetic losses in a laminated ferromagnetic core have been studied for years. However, magnetization mechanisms are complex, and the ideal model is still lacking.
B. Ducharne, G. Sebald
doaj   +1 more source

Matrix differential equations and inverse preconditioners [PDF]

Clinics, 2007
In this article, we propose to model the inverse of a given matrix as the state of a proper first order matrix differential equation. The inverse can correspond to a finite value of the independent variable or can be reached as a steady state. In both cases we derive corresponding dynamical systems and establish stability and convergence results.
openaire   +4 more sources

On matrix differential equations in the Hopf algebra of renormalization [PDF]

Advances in Theoretical and Mathematical Physics, 2006
22 pages, typos ...
Ebrahimi-Fard, Kurusch, Manchon, Dominique   +1 more
openaire   +3 more sources

Barycentric Interpolation Collocation Method for Solving Fractional Linear Fredholm-Volterra Integro-Differential Equation

Journal of Function Spaces, 2023
In this article, barycentric interpolation collocation method (BICM) is presented to solve the fractional linear Fredholm-Volterra integro-differential equation (FVIDE).
Jin Li, Kaiyan Zhao, Xiaoning Su
doaj   +1 more source

New techniques for solving some matrix and matrix differential equations

Ain Shams Engineering Journal, 2015
Matrix and matrix differential equations play an important role in system theory, control theory, stability theory of differential equations, communication systems and many other fields.
Zeyad Abdel Aziz Al-Zhour
doaj   +1 more source