Title of article :
ON SOLUTION OF MODIFIED MATRIX SYLVESTER EQUATION
Author/Authors :
ALIEV, F.A Institute of Applied Mathematics - Baku State University - Baku, Azerbaijan , LARIN, V.B Institute of Mechanics of the National Academy of Sciences of Ukraine - Kyiv, Ukraine
Abstract :
In the paper, the approach connected with the linear matrix inequalities for
construction of solution of the modified Sylvester matrix equations, is used. The essence
of the approach consists in replacement the initial equation with complex matrices, by
two equations with real matrices. That allows to use for their solution the procedures of
linear matrix inequalities. Efficiency of offered algorithm is shown on the examples.
Keywords :
linear matrix inequalities (LMI) , matrix Sylvester equation , modified Sylvester equation , complex matrices
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
