This article is cited in 3 papers

Numerical solution of the matrix equations $AX+X^TB=C$ and $AX+X^*B=C$ in the self-adjoint case

Yu. O. Vorontsov, Khakim D. Ikramov

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

Abstract: The numerical algorithms for solving equations of the type $AX+X^TB=C$ or $AX+X^*B=C$ that were earlier proposed by the authors are now modified for the situations where these equations can be regarded as self-adjoint ones. The economy in computational time and work achieved through these modifications is illustrated by numerical results.

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

UDC: 519.61

Received: 23.04.2013

DOI: 10.7868/S0044466914020161

 English version: Computational Mathematics and Mathematical Physics, 2014, 54:2, 191–194

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