Iterative Gradient Descent Methods for Solving Linear Equations


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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 convergence of iterations to the solution of the equations is given. Numerical results demonstrating the efficiency of the modified iterative gradient descent method are presented.

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A. Samokhin

Russian Technological University MIREA

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Email: absamokhin@yandex.ru
俄罗斯联邦, Moscow, 119454

A. Samokhina

Institute of Control Sciences, Russian Academy of Sciences

Email: absamokhin@yandex.ru
俄罗斯联邦, Moscow, 117997

A. Sklyar

Russian Technological University MIREA

Email: absamokhin@yandex.ru
俄罗斯联邦, Moscow, 119454

Yu. Shestopalov

Russian Technological University MIREA

Email: absamokhin@yandex.ru
俄罗斯联邦, Moscow, 119454

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