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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.
Received: 02.10.2013
Citation:
Yu. O. Vorontsov, Kh. D. Ikramov, “Numerical solution of the matrix equation $X-A\overline{X}B=C$ in the self-adjoint case”, Zh. Vychisl. Mat. Mat. Fiz., 54:3 (2014), 371–374; Comput. Math. Math. Phys., 54:3 (2014), 379–381
Linking options:
https://www.mathnet.ru/eng/zvmmf9998 https://www.mathnet.ru/eng/zvmmf/v54/i3/p371
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