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  • 1.
    Shestopalov, Yury
    et al.
    Russian Technological University MIREA, Moscow, 119454 Russia.
    Samokhin, Alexander
    Russian Technological University MIREA, Moscow, 119454 Russia.
    Samokhina, Anna
    Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997 Russia.
    Iterative Gradient Descent Methods for Solving Linear Equations2019In: Computational Mathematics and Mathematical Physics, ISSN 0965-5425, E-ISSN 1555-6662, Vol. 59, no 8, p. 1267-1274Article in journal (Refereed)
    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.

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