Numerical solution of matrix equations of the Stein type 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 algorithms for solving the equations $X-AX^TB=C$ and $X-AX^*B=C$ proposed by the authors in earlier publications are now modified for the case where these equations can be regarded as self-adjoint ones. 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 solution of matrix equations.

UDC: 519.61

Received: 13.05.2013

DOI: 10.7868/S0044466914050093

 English version: Computational Mathematics and Mathematical Physics, 2014, 54:5, 745–749

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