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Iterative Gradient Descent Methods for Solving Linear Equations
Russian Technological University MIREA, Moscow, 119454 Russia.
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: 2019-10-04Bibliographically approved

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Shestopalov, Yury

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