Numerical solution of Sylvester matrix equations: Application to dynamical systems
نویسندگان
چکیده
منابع مشابه
On the numerical solution of generalized Sylvester matrix equations
The global FOM and GMRES algorithms are among the effective methods to solve Sylvester matrix equations. In this paper, we study these algorithms in the case that the coefficient matrices are real symmetric (real symmetric positive definite) and extract two CG-type algorithms for solving generalized Sylvester matrix equations. The proposed methods are iterative projection metho...
متن کاملon the numerical solution of generalized sylvester matrix equations
the global fom and gmres algorithms are among the effective methods to solve sylvester matrix equations. in this paper, we study these algorithms in the case that the coefficient matrices are real symmetric (real symmetric positive definite) and extract two cg-type algorithms for solving generalized sylvester matrix equations. the proposed methods are iterative projection metho...
متن کاملOn the Numerical Solution of Generalized Sylvester Matrix Equations
The global FOM and GMRES algorithms are among the effective methods to solve Sylvester matrix equations. In this paper, we study these algorithms in the case that the coefficient matrices are real symmetric (real symmetric positive definite) and extract two CG-type algorithms for solving generalized Sylvester matrix equations. The proposed methods are iterative projection methods onto matrix Kr...
متن کاملOn the Numerical Solution of Large Scale Sylvester Matrix Equations
This paper presents equivalent forms of the Sylvester matrix equations. These equivalent forms allow us to use block linear methods for solving large Sylvester matrix equations. In each step of theses iterative methods we use global FOM or global GMRES algorithm for solving an auxiliary block matrix equations. Also, some numerical experiments for obtaining the numerical approximated solution of...
متن کاملUsing operational matrix for numerical solution of fractional differential equations
In this article, we have discussed a new application of modification of hat functions on nonlinear multi-order fractional differential equations. The operational matrix of fractional integration is derived and used to transform the main equation to a system of algebraic equations. The method provides the solution in the form of a rapidly convergent series. Furthermore, error analysis of the pro...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Interpolation and Approximation in Scientific Computing
سال: 2016
ISSN: 2194-3907
DOI: 10.5899/2016/jiasc-00097