This article is cited in 3 papers

Numerical solution of matrix equations of the form $X+AX^{\mathrm T}B=C$

Yu. O. Vorontsov, Khakim D. Ikramov

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: A review of numerical methods for solving matrix equations of the form $X+AX^{\mathrm T}B=C$ is given. The methods under consideration were implemented in the Matlab environment. The performances of these methods are compared, including the case where the conditions for unique solvability are “almost” violated.

Key words: matrix equation, eigenvalues, Matlab, review of numerical methods.

UDC: 519.61

MSC: 15A24

Received: 08.10.2012

DOI: 10.7868/S0044466913030150

 English version: Computational Mathematics and Mathematical Physics, 2013, 53:3, 253–257

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