نتایج جستجو برای: sylvester type matrix equation

تعداد نتایج: 1850700  

Journal: :Int. J. Comput. Math. 2010
Bin Zhou James Lam Guang-Ren Duan

This paper is concerned with numerical solutions to general linear matrix equations including the wellknown Lyapunov matrix equation and Sylvester matrix equation as special cases. Gradient based iterative algorithm is proposed to approximate the exact solution. A necessary and sufficient condition guaranteeing the convergence of the algorithm is presented. A sufficient condition that is easy t...

Journal: :Kybernetika 2002
Didier Henrion Jan Jezek Michael Sebek

Discrete-time symmetric polynomial equations with complex coefficients are studied in the scalar and matrix case. New theoretical results are derived and several algorithms are proposed and evaluated. Polynomial reduction algorithms are first described to study theoretical properties of the equations. Sylvester matrix algorithms are then developed to solve numerically the equations. The algorit...

Journal: :IJAC 2015
Alan J. Cain António Malheiro

Acknowledgements: During the research that led to the this paper, the first author was initially supported by the European Regional Development Fund through the programme  and by the PortugueseGovernment through the  (Fundação para a Ciência e a Tecnologia) under the project -/// and through an  Ciência  fellowship, and later supported by an  Investigador a...

2015
Elias Jarlebring Federico Poloni

The delay Lyapunov equation is an important matrix boundary-value problem which arises as an analogue of the Lyapunov equation in the study of time-delay systems ẋ(t) = A0x(t) +A1x(t− τ) +B0u(t). We propose a new algorithm for the solution of the delay Lyapunov equation. Our method is based on the fact that the delay Lyapunov equation can be expressed as a linear system of equations, whose unkn...

Journal: :Analele Universitatii "Ovidius" Constanta - Seria Matematica 2020

In this paper, we present Gauss-Sidel and successive over relaxation (SOR) iterative methods for finding the approximate solution system of fuzzy Sylvester equations (SFSE), AX + XB = C, where A and B are two m*m crisp matrices, C is an m*m fuzzy matrix and X is an m*m unknown matrix. Finally, the proposed iterative methods are illustrated by solving one example.

Journal: :journal of mahani mathematical research center 0
fatemeh salary pour sharif abad department of mathematics, shahid bahonar university of kerman, azim rivaz department of mathematics, shahid bahonar university of kerman

in this paper, we present gauss-sidel and successive over relaxation (sor) iterative methods for finding the approximate solution system of fuzzy sylvester equations (sfse), ax + xb = c, where a and b are two m*m crisp matrices, c is an m*m fuzzy matrix and x is an m*m unknown matrix. finally, the proposed iterative methods are illustrated by solving one example.

Journal: :international journal of industrial mathematics 0
m. mashoof‎ department of mathematics, lahijan branch, islamic azad university, lahijan, ‎iran.‎ a. h. refahi ‎sheikhani‎ department of mathematics, lahijan branch, islamic azad university, lahijan, ‎iran.‎

in recent years, there has been greater attempt to find numerical solutions of differential equations using wavelet's methods. the following method is based on vector forms of haar-wavelet functions. in this paper, we will introduce one dimensional haar-wavelet functions and the haar-wavelet operational matrices of the fractional order integration. also the haar-wavelet operational matrice...

2010
Andrea Gombani György Michaletzky

We consider here a two sided interpolation problem where we want to minimize the degree of the interpolant. We show that this degree is given by the rank of a particular solution to a Sylvester equation which, in some particular cases becomes a Löwner or a Hankel matrix. We consider an application to the usual partial realization problem. The results are quite general and no particular assumpti...

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