On the Solution of Generalized Sylvester Matrix Equation
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...
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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...
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A solution of two problems related to the matrix equation of Sylvester type is given. In the first problem, the procedures for linear matrix inequalities are used to construct the solution of this equation. In the second problem, when a matrix is given which is not a solution of this equation, it is required to find such solution of the original equation, which most accurately approximates the ...
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In this paper, we consider the fuzzy Sylvester matrix equation AX + XB = C, where A ∈ Rn×n and B ∈ Rm×m are crisp M-matrices, C is an n×m fuzzy matrix and X is unknown. We first transform this system to an (mn)× (mn) fuzzy system of linear equations. Then we investigate the existence and uniqueness of a fuzzy solution to this system. We use the accelerated overrelaxation method to compute an ap...
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where X ∈ M(n,m)(K), play a central role in many areas of applied mathematics and in particular in systems and control theory. It is well known that if K is an algebraically closed field then the matrix equation (1) possesses a unique solution if and only if the matrices A and B have no common eigenvalues (see [[3]] and [11]). In this work we give a brief survey of methods used to solve the (SM...
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ژورنال
عنوان ژورنال: Transactions of the Society of Instrument and Control Engineers
سال: 2007
ISSN: 0453-4654
DOI: 10.9746/ve.sicetr1965.43.64