Iterative Gradient Descent Methods for Solving Linear Equations
A. B. Samokhin, A. S. Samokhina, A. Ya. Sklyar, Yu. V. Shestopalov · Computational Mathematics and Mathematical Physics · 2019
Abstract 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.