Abstract
Bounds on the norms of transformed relative errors of solutions to simultaneous linear algebraic equations (SLAEs) taking into account the influence of errors in the specification of the lefthand side matrix and the right-hand side vector for various types of regularization are obtained. These bounds are valid in a wide range of values of the initial data.
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Original Russian Text © V.V. Godlevskii, V.S. Godlevskii, 2015, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2015, Vol. 55, No. 12, pp. 1979–1985.
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Godlevskii, V.V., Godlevskii, V.S. Bounds on the transformed errors of solutions to SLAEs with ill-conditioned matrices. Comput. Math. and Math. Phys. 55, 1941–1946 (2015). https://doi.org/10.1134/S0965542515120052
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DOI: https://doi.org/10.1134/S0965542515120052