%0 Journal Article
%T On the solving of matrix equation of Sylvester type
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Aliev, Fikret
%A Larin, Vladimir
%D 2019
%\ 01/01/2019
%V 7
%N 1
%P 96-104
%! On the solving of matrix equation of Sylvester type
%K Matrix equation
%K Linear matrix inequalities (LMI)
%K Matrix Sylvester equation
%K Sylvester type matrix equation
%K Complex matrices
%R
%X 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 given matrix. For this, an algorithm for constructing a general solution of the Sylvester matrix equation is used. The effectiveness of the proposed approaches is illustrated on the examples.
%U https://cmde.tabrizu.ac.ir/article_8308_8490b775c091e584aa7755c033bcd854.pdf