% formatted on 970304 by morris
\documentstyle{article}
\setcounter{page}{53}
\textheight 9.5in
\textwidth 5.75in
\voffset -1in
\hoffset -0.55in
%\documentstyle{llncs}
\begin{document}

\title{Parallel Block Elimination Algorithm for Generalized
           Eigen-problem and It's Applications on  Crystal Electronic
           Structure
\thanks{ Worked supported by the National Research Center for
               Intelligent Computing Systems of China.}
\date{}
}
\maketitle

\begin{center}
\vskip 3ex
\author{ Jiachang Sun, Jianxin Deng, Jianwen Cao
 \footnote[1]{\parbox[t]{13.5cm}{R \& D Center for Parallel Software,
           Institute of Software, Chinese Academy of Sciences.\\
                 Beijing P.O. Box 2704 (47)\\
 E-mail of  Jiachang Sun: {\tt sun\char64 par25t.ict.ac.cn};\\ E-mail of  Jiachang Sun: {\tt sun\char64 par25t.ict.ac.cn};\\
 E-mail of  Jianxin Deng: {\tt deng\char64 par25t.ict.ac.cn};\\

 E-mail of  Jianwen Cao : {\tt cao\char64 par25t.ict.ac.cn}. } }
}
\vskip 2ex
{ Dingsheng Wang,  Li Jun
\footnote[2]{ Institute of Physics, Chinese Academy of Sciences\quad
              Beijing 100080.},
        Wenqing Zhang
\footnote[3]{Institute of Applied Physics, Beijing University of
        Science and Technology,\quad  Beijing 100083.}
}
\end{center}
\vskip 2.0cm
A class of parallel block elimination algorithms for solving large scale
generalized eigen-decomposition was proposed in this paper. The generalized 
eigen-decomposition was proposed in this paper. The
 main idea of this new algorithm is called ``Black Box'',
which is coding length independent. The parallel algorithm  has been
implemented on the distributed parallel system DAWNING-1000 made in China
and it has been applied to analyse the crystal electronic structand it has been applied to analyse the crystal electronic structure of LBO,
 a nonlinear opitical crystal invented by Chinese scientists. 
The iterative convergence,  error analysis,
parallel efficiency and numerical analysis of the new algorithm have been given.
\vskip 0.5cm
\noindent
{\bf Keywords:}
 Parallel algorithm, Eigen-decomposition, Crystal, Electronic



\end{document}




