Numerical solution of the matrix equation $X-A\overline{X}B=C$ in the self-adjoint case

Yu. O. Vorontsov, Kh. D. Ikramov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia

Abstract: The numerical algorithm for solving the equation $X-A\overline{X}B=C$ proposed in an earlier publication is now modified for the situation where this equation can be regarded as a self-adjoint one. The economy in the computational time and work achieved through these modifications is illustrated by numerical results.

Key words: matrix equation, adjoint operator, self-adjointness, semilinear operator, numerical method.

UDC: 519.61

Received: 02.10.2013

DOI: 10.7868/S004446691403020X

 English version: Computational Mathematics and Mathematical Physics, 2014, 54:3, 379–381

Bibliographic databases:

• 
• 
• 
•