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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 12, Pages 1979–1985
DOI: https://doi.org/10.7868/S0044466915120054 (Mi zvmmf10307) 		 
Bounds on the transformed errors of solutions to SLAEs with ill-conditioned matrices

V. V. Godlevskii, V. S. Godlevskii

Pipeline Diagnostics Systems, National Academy of Sciences of Ukraine, ul. Generala Naumova 17, Kiev, 03164, Ukraine
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DOI: https://doi.org/10.7868/S0044466915120054
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.
Key words: numerical solution of simultaneous linear algebraic equations, bounds on solution errors, ill-conditioned matrices, regularization.
Received: 08.07.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 12, Pages 1941–1946
DOI: https://doi.org/10.1134/S0965542515120052
Bibliographic databases:
Document Type: Article
UDC: 519.612
Language: Russian
Citation: V. V. Godlevskii, V. S. Godlevskii, “Bounds on the transformed errors of solutions to SLAEs with ill-conditioned matrices”, Zh. Vychisl. Mat. Mat. Fiz., 55:12 (2015), 1979–1985; Comput. Math. Math. Phys., 55:12 (2015), 1941–1946
Citation in format AMSBIB
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