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Iterative Gradient Descent Methods for Solving Linear Equations
Russian Technological University MIREA, Moscow, 119454 Russia.ORCID iD: 0000-0002-2691-2820
Russian Technological University MIREA, Moscow, 119454 Russia.
Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997 Russia.
2019 (English)In: Computational Mathematics and Mathematical Physics, ISSN 0965-5425, E-ISSN 1555-6662, Vol. 59, no 8, p. 1267-1274Article in journal (Refereed) Published
Abstract [en]

The paper presents the results on the use of gradient descent algorithms for constructing iterative methods for solving linear equations. A mathematically rigorous substantiation of the conver- gence of iterations to the solution of the equations is given. Numerical results demonstrating the effi- ciency of the modified iterative gradient descent method are presented.
Place, publisher, year, edition, pages
2019. Vol. 59, no 8, p. 1267-1274
Keywords [en]
systems of linear algebraic equations, gradient descent, iterative methods
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-30718DOI: 10.1134/S0965542519080141OAI: oai:DiVA.org:hig-30718DiVA, id: diva2:1357108
Available from: 2019-10-03 Created: 2019-10-03 Last updated: 2022-09-15Bibliographically approved

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Shestopalov, Yury

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