\documentclass[twoside,leqno]{article} \usepackage{amsmath,scmjlt2e,latexsym} \pagestyle{myheadings} \markboth{G.~H.~GOLUB AND D.~P.~O'LEARY}{CONJUGATE GRADIENT AND LANCZOS HISTORY} \renewcommand{\subjclassname}{\textup{2000} Mathematics Subject Classification} \setcounter{page}{101} \def\initrhead{{\it Sci.~Math.~Japonicae\/ } {\bf Vol.~53}, No.~1 (2000), 101--103} \begin{document} \title{SOME HISTORY OF THE CONJUGATE GRADIENT \\ AND LANCZOS ALGORITHMS: 1948--1976} \author{Gene~H.~Golub and D.~P.~O'Leary} \date{Received September 1, 2000} \subjclass{Primary 65F10, 65F15; Secondary 65H10, 65F03} \keywords{conjugate gradient algorithm, Lanczos algorithm, variable metric algorithm} \maketitle \begin{abstract} This paper gives some of the history of the conjugate gradient and Lanczos algorithm and an annoteated bibliography for the period 1948--1976. \end{abstract} \section{Algebra} This is a paper on mathematics. This is a paper on mathematics. This is a paper on mathematics. 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