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

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Abstract

The numerical algorithms for solving equations of the type AX + X T B = 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.

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References

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Authors and Affiliations

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

    Yu. O. Vorontsov & Khakim D. Ikramov

Authors
  1. Yu. O. Vorontsov
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  2. Khakim D. Ikramov
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Correspondence to Yu. O. Vorontsov.

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Original Russian Text © Yu.O. Vorontsov, Khakim D. Ikramov, 2014, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2014, Vol. 54, No. 2, pp. 179–182.

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Vorontsov, Y.O., Ikramov, K.D. Numerical solution of the matrix equations AX + X T B = C and AX + X*B = C in the self-adjoint case. Comput. Math. and Math. Phys. 54, 191–194 (2014). https://doi.org/10.1134/S0965542514020146

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  • DOI: https://doi.org/10.1134/S0965542514020146

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