El-Bakry, AmrSteihaug, Trond2018-06-182018-06-181998-06El-Bakry, Amr and Steihaug, Trond. "On the Component-Wise Convergence Rate." (1998) <a href="https://hdl.handle.net/1911/101902">https://hdl.handle.net/1911/101902</a>.https://hdl.handle.net/1911/101902In this paper we investigate the convergence rate of a sequence of vectors provided that the convergence rates of the components are known. The result of this investigation is then used to study the m-step convergence rate of sequences.8 ppengTechnical reportTR98-16