Knyazev, A. V.; Skorokhodov, A. L. On the rate of convergence of the method of steepest descent in Euclidean norm. (English) Zbl 0657.65045 Zh. Vychisl. Mat. Mat. Fiz. 28, No. 10, 1577-1578 (1988). A new error bound is derived for the method of steepest descent for solving linear algebraic equations. This bound is better than those known from the literature, and gives the best coefficient of the linear convergence. Reviewer: F.Szidarovszky Cited in 1 Review MSC: 65F10 Iterative numerical methods for linear systems Keywords:rate of convergence; error bound; method of steepest descent PDF BibTeX XML Cite \textit{A. V. Knyazev} and \textit{A. L. Skorokhodov}, Zh. Vychisl. Mat. Mat. Fiz. 28, No. 10, 1577--1578 (1988; Zbl 0657.65045) OpenURL