Results 1 to 10 of about 172,193 (304)
Constrained Solutions of a System of Matrix Equations [PDF]
Journal of Applied Mathematics, 2012 We derive the necessary and sufficient conditions of and the expressions for the orthogonal solutions, the symmetric orthogonal solutions, and the skew-symmetric orthogonal solutions of the system of matrix equations AX=B and XC=D, respectively. When the
Qing-Wen Wang, Juan Yu
doaj +5 more sources
Iterative Solution to a System of Matrix Equations [PDF]
Abstract and Applied Analysis, 2013 An efficient iterative algorithm is presented to solve a system of linear matrix equations , with real matrices and . By this iterative algorithm, the solvability of the system can be determined automatically.
Yong Lin, Qing-Wen Wang
doaj +6 more sources
Iterative Algorithm for Solving a System of Nonlinear Matrix Equations [PDF]
Journal of Applied Mathematics, 2012 We discuss the positive definite solutions for the system of nonlinear matrix equations and , where , are two positive integers. Some properties of solutions are studied, and the necessary and sufficient conditions for the existence of positive ...
Asmaa M. Al-Dubiban
doaj +4 more sources
On stability of motion of satellite [PDF]
E3S Web of Conferences, 2023 In this paper we consider the translational and rotational motion of satellites around the Earth. First, we study the motion of an arrow-type satellite. We consider the system of equations of motion in the first approximation.
Titova Tatiana
doaj +1 more source
Solution of Fuzzy Matrix Equation System [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 Summary: The main is to develop a method to solve an arbitrary fuzzy matrix equation system by using the embedding approach. Considering the existing solution to fuzzy matrix equation system is done. To illustrate the proposed model a numerical example is given, and obtained results are discussed.
Mahmood Otadi, Maryam Mosleh
openaire +3 more sources
The Sine-Cosine Wavelet and Its Application in the Optimal Control of Nonlinear Systems with Constraint [PDF]
Journal of Electrical and Computer Engineering Innovations, 2013 In this paper, an optimal control of quadratic performance index with nonlinear constrained is presented. The sine-cosine wavelet operational matrix of integration and product matrix are introduced and applied to reduce nonlinear differential equations ...
R. Hajmohammadi +2 more
doaj +1 more source
Fuzzy Information and Engineering, 2022 A couple of Sylvester matrix equations (CSME) are required to be solved simultaneously in many applications, especially in analysing the stability of control systems.
Ahmed Abdel Aziz Elsayed +2 more
doaj +1 more source
Closed-form formula for a classical system of matrix equations
Arab Journal of Basic and Applied Sciences, 2022 Keeping in view the latest development of anti-Hermitian matrix in mind, we construct some closed form formula for a classical system of matrix equations having anti-Hermitian nature in this paper.
Abdur Rehman +4 more
doaj +1 more source
A matrix method for system of integro-differential equations by using generalized Laguerre polynomials [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2016 The purpose of this research is to present a matrix method for solving system of linear Fredholm integro-differential equations(FIDEs) of the second kind on unbounded domain with degenerate kernels in terms of generalized Laguerre polynomials(GLPs).
Mashallah Matinfar, Abbas Riahifar
doaj +1 more source
On stability of motion of unbalanced gyroscope [PDF]
E3S Web of Conferences, 2023 In this paper we consider the stability of motion of an unbalanced gyroscope with a flexible shaft in gimbal suspension.Gyroscopes are used to control the stability of boom tower cranes.
Titova Tatiana
doaj +1 more source