ON SOLUTION OF MODIFIED MATRIX SYLVESTER EQUATION

Yıl 2019, Cilt: 9 Sayı: 3, 549 - 553, 01.09.2019

F. A. Aliev V. B. Larin

Öz

In the paper, the approach connected with the linear matrix inequalities for construction of solution of the modied 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. Eciency of oered algorithm is shown on the examples.

Anahtar Kelimeler

linear matrix inequalities LMI, matrix Sylvester equation, modied Sylvester equation, complex matrices

Kaynakça

• Zhang, H., Yin H., (2017), New proof of the gradient-based iterative algorithm for the Sylvester conjugate matrix equation, Computers and Mathematics with Applications, 74, pp. 3260-3270.
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• Aliev F.A., Larin, V.B., (2009), About use of the Bass relations for solution of matrix equations, Appl. Comput. Math., 8(2), pp. 152-162.
• Fikret A. Aliev, for a photograph and biography, see TWMS J. App. and Eng. Math., V.7, N.1, 2017, p.1.
• Vladimir B. Larin, for a photograph and biography, see TWMS J. App. and Eng. Math., V.7, N.1, , p.1.