images.tex

来自「htmdoc for html coding」· TEX 代码 · 共 1,106 行 · 第 1/3 页

\def\GuideTitle{Solution of Linear Systems}

\def\GuideAuthor{P.~Joly \and M.~Vidrascu}

\def\GuideCompos{}

\def\GuideBrochures{brochures \cite{mod_21}, \cite{mod_26} and \cite{mod_22}}

\def\GuideModif{
\begin{itemize}
\item \GuideMOD{01}{December 1992}
\end{itemize}
}
\include{Guideindex}


\makeatother
\newenvironment{tex2html_wrap}{}{}
\newwrite\lthtmlwrite
\def\lthtmltypeout#1{{\let\protect\string\immediate\write\lthtmlwrite{#1}}}%
\newbox\sizebox
\begin{document}
\pagestyle{empty}
\setcounter{page}{3}
\setcounter{equation}{0}
\setcounter{enumi}{0}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
\setcounter{enumiv}{0}
\setcounter{footnote}{0}
\setcounter{mpfootnote}{0}
\setcounter{part}{0}
\setcounter{chapter}{0}
\setcounter{section}{0}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
\setcounter{figure}{0}
\setcounter{table}{0}
\setcounter{page}{23}
\setcounter{equation}{0}
\setcounter{enumi}{0}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
\setcounter{enumiv}{0}
\setcounter{footnote}{2}
\setcounter{mpfootnote}{0}
\setcounter{part}{1}
\setcounter{chapter}{1}
\setcounter{section}{5}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
\setcounter{figure}{2}
\setcounter{table}{0}
\setcounter{page}{92}
\setcounter{equation}{0}
\setcounter{enumi}{0}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
\setcounter{enumiv}{0}
\setcounter{footnote}{1}
\setcounter{mpfootnote}{0}
\setcounter{part}{2}
\setcounter{chapter}{4}
\setcounter{section}{16}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
\setcounter{figure}{0}
\setcounter{table}{0}
\setcounter{page}{130}
\setcounter{equation}{0}
\setcounter{enumi}{0}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
\setcounter{enumiv}{0}
\setcounter{footnote}{0}
\setcounter{mpfootnote}{0}
\setcounter{part}{3}
\setcounter{chapter}{1}
\setcounter{section}{3}
\setcounter{subsection}{2}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
\setcounter{figure}{2}
\setcounter{table}{0}
\setcounter{page}{131}
\setcounter{equation}{0}
\setcounter{enumi}{0}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
\setcounter{enumiv}{2}
\setcounter{footnote}{0}
\setcounter{mpfootnote}{0}
\setcounter{part}{3}
\setcounter{chapter}{1}
\setcounter{section}{3}
\setcounter{subsection}{2}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
\setcounter{figure}{2}
\setcounter{table}{0}
\setcounter{page}{131}
\setcounter{equation}{0}
\setcounter{enumi}{0}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
\setcounter{enumiv}{2}
\setcounter{footnote}{0}
\setcounter{mpfootnote}{0}
\setcounter{part}{3}
\setcounter{chapter}{1}
\setcounter{section}{3}
\setcounter{subsection}{2}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
\setcounter{figure}{2}
\setcounter{table}{0}
\stepcounter{part}
\stepcounter{chapter}
\stepcounter{section}
\stepcounter{section}
\stepcounter{subsection}
{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$A=L L^T$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3225: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$A=L D L^T$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3229: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

\stepcounter{subsection}
\stepcounter{subsubsection}
{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\neq$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3254: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

\stepcounter{subsubsection}
{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\displaystyle  \left(
 \begin{array}{c} 1 \\  2 \\  4 \\  . \\  . \\  14\\  . \\  . \\  .  \\  .  \\  .  \\   . \end{array}
 \begin{array}{c} . \\  3 \\  5 \\  7 \\  10\\  15\\  . \\  . \\  .  \\  .  \\  .  \\   . \end{array}
 \begin{array}{c} . \\  . \\  6 \\  8 \\  11\\  16\\  . \\  . \\  .  \\  .  \\  .  \\   . \end{array}
 \begin{array}{c} . \\  . \\  . \\  9 \\  12\\  17\\  20\\  24\\  .  \\  .  \\  .  \\   . \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  13\\  18\\  21\\  25\\  .  \\  .  \\  .  \\   . \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  19\\  22\\  26\\  .  \\  .  \\  .  \\   . \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  . \\  23\\  27\\  29 \\  32 \\  36 \\   . \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  . \\  . \\  28\\  30 \\  33 \\  37 \\   . \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  . \\  . \\  . \\  31 \\  34 \\  38 \\  41 \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  . \\  . \\  . \\  .  \\  35 \\  39 \\  42 \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  . \\  . \\  . \\  .  \\  .  \\  40 \\  43 \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  . \\  . \\  . \\  .  \\  .  \\  .  \\  44 \end{array}
  \right)  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3262: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\displaystyle  \left(  0   \quad 5 \quad 10 \quad 12  \right)  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3264: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\displaystyle  \left( 0  \quad 1  \quad 3  \quad 6  \quad 9  \quad 13  \quad ... \quad 44  \right)  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3266: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

\stepcounter{subsubsection}
{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\displaystyle  \left(
 \begin{array}{c} 1 \\  2 \\  5 \\  . \\  . \\  22\\  . \\  . \\  .  \\  .  \\  .  \\  .  \end{array}
 \begin{array}{c} 3 \\  4 \\  6 \\  10\\  15\\  23\\  . \\  . \\  .  \\  .  \\  .  \\  .  \end{array}
 \begin{array}{c} 7 \\  8 \\  9 \\  11\\  16\\  24\\  . \\  . \\  .  \\  .  \\  .  \\  .  \end{array}
 \begin{array}{c} . \\  12\\  13\\  14\\  17 \\ 25\\  33\\  40\\  .  \\  .  \\  .  \\  .  \end{array}
 \begin{array}{c} . \\  18\\  19\\  20\\  21\\  26\\  34\\  41\\  .  \\  .  \\  .  \\  .  \end{array}
 \begin{array}{c} 27\\  28\\  29\\  30\\  31\\  32\\  35\\  42 \\  . \\  .  \\  .  \\  .  \end{array}
 \begin{array}{c} . \\  . \\  . \\  36\\  37\\  38\\  39\\  43\\  49 \\  54 \\  61 \\  .  \end{array}
 \begin{array}{c} . \\  . \\  . \\  44\\  45\\  46\\  47\\  48\\  50 \\  55 \\  62 \\  .  \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  . \\  51\\  52\\  53 \\  56 \\  63 \\  70 \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  . \\  57\\  58\\  59 \\  60 \\  64 \\  71 \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  . \\  65\\  66\\  67 \\  68 \\  69 \\  72  \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  . \\  . \\  . \\  73 \\  74 \\  75 \\  76  \end{array}
  \right)  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3274: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\displaystyle  \left(  0   \quad 6  \quad 10  \quad 12   \right)  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3276: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\displaystyle  \left( 0  \quad 1  \quad 4  \quad 9  \quad 14  \quad ... \quad  76  \right)  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3278: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$A_{i,j}$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3284: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ mc(i) \le j \le i$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3286: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$A_{i,j}\neq 0$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3290: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$A_{i,i}$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3294: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\displaystyle  ia= \hbox{MUA4}(i+1) -i +j \quad\quad\hbox{pour } j\leq i$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3303: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ mc(i) \le j < i$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3316: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$A_{j,i}$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3322: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \begin{eqnarray*}&&\hbox{if } i> j\quad ia =
\hbox{MUA4}(i+1)-\bigl(\hbox{MUA4}(i+1)-\hbox{MUA4}(i)-1\bigr)/2
   -i +j  \\ 
&&  \hbox{if } i\leq j\quad ia = \hbox{MUA4}(j+1) -j +i 
\end{eqnarray*}
}

\stepcounter{subsection}
\stepcounter{subsubsection}
\stepcounter{section}
\stepcounter{subsection}
\stepcounter{subsection}
\stepcounter{subsubsection}
{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$_{ii})$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3355: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$_{ii}$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3357: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

\stepcounter{subsubsection}
{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\displaystyle  \left(
 \begin{array}{c} 1 \\  . \\  . \\  . \\  . \\  . \\  . \\  . \\  .   \end{array}
 \begin{array}{c} . \\  2 \\  . \\  . \\  . \\  . \\  . \\  . \\  .   \end{array}
 \begin{array}{c} . \\  . \\  3 \\  . \\  . \\  . \\  . \\  . \\  .   \end{array}
 \begin{array}{c} . \\  . \\  . \\  4 \\  . \\  . \\  . \\  . \\  .   \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  5 \\  . \\  . \\  . \\  .   \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  6 \\  . \\  . \\  .   \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  . \\  7 \\  . \\  .   \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  . \\  . \\  8 \\  .   \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  . \\  . \\  . \\  9  \end{array}
  \right)  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3362: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\displaystyle   A_{11}  \quad A_{22} \quad  A_{33} \quad A_{44}   \quad A_{55}  \quad A_{66}
  \quad A_{77} \quad A_{88} \quad A_{99}  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3366: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

\stepcounter{subsubsection}
{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\displaystyle  \left(
 \begin{array}{c} 1 \\  2 \\  4 \\  . \\  . \\  . \\  . \\  . \\  .   \end{array}
 \begin{array}{c} . \\  3 \\  5 \\  7 \\  . \\  12\\  . \\  . \\  .   \end{array}
 \begin{array}{c} . \\  . \\  6 \\  . \\  9 \\  . \\  . \\  . \\  .   \end{array}
 \begin{array}{c} . \\  . \\  . \\  8 \\  10\\  13\\  . \\  18\\  .   \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  11\\  . \\  15\\  . \\  .   \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  14\\  16\\  . \\  .   \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  . \\  17\\  . \\  .   \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  . \\  . \\  19\\  .   \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  . \\  . \\  . \\  20  \end{array}
  \right)  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3370: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\displaystyle  \left(  0   \quad 9    \right)  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3374: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\displaystyle  \left( 0  \quad 1  \quad 3  \quad 6  \quad 8  \quad 11  \quad 14  \quad 17  \quad 19 \quad 20  \right)  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3378: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\displaystyle     1   \quad 1   \quad 2   \quad 1   \quad 2   \quad 3   \quad 2  \quad  4   \quad 3  
\quad 4   \quad 5   \quad 2   \quad 4   \quad 6 
      \quad 5   \quad 6   \quad 7   \quad 4   \quad 8   \quad 9    $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3382: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\displaystyle   A_{11}  \quad A_{21} \quad  A_{22} \quad A_{31}   \quad A_{32}  \quad A_{33}
  \quad A_{42} \quad A_{44} \quad A_{53}  \quad  A_{54}  \quad A_{55}  \quad A_{62}
  \quad   A_{64}  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3386: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\displaystyle  A_{66}  \quad A_{75} \quad A_{76}  \quad A_{77}   \quad A_{84}  \quad A_{88}
  \quad A_{99}  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3390: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \begin{figure}[htbp]
\begin{center}
\framebox{\input{ex1amat.tex}} 
\end{center}

\end{figure}
}

\stepcounter{subsubsection}
{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\displaystyle  \left(
 \begin{array}{c} 4 \\  5 \\  . \\  . \\  . \\  . \\  . \\  . \\  .   \end{array}
 \begin{array}{c} 1 \\  8 \\  9 \\  . \\  . \\  . \\  . \\  . \\  .   \end{array}
 \begin{array}{c} . \\  6 \\  12\\  . \\  . \\  . \\  . \\  . \\  .   \end{array}
 \begin{array}{c} 2 \\  . \\  10\\  13\\  . \\  15\\  . \\  . \\  .   \end{array}
 \begin{array}{c} 3 \\  7 \\  . \\  . \\  14\\  . \\  . \\  . \\  .   \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  17\\  . \\  . \\  .   \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  16\\  18\\  19\\  .   \end{array}
 \begin{array}{c} . \\  . \\  11\\  . \\  . \\  . \\  . \\  20\\  .   \end{array}
 \begin{array}{c} . \\  . \\  . \\  . \\  . \\  . \\  . \\  . \\  21  \end{array}
  \right)  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3396: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\displaystyle  \left( 0  \quad 4  \quad 8  \quad 12  \quad 13  \quad 14  \quad 17  \quad 18  \quad 20 
\quad  21  \right)  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline3404: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\displaystyle     2   \quad 4   \quad 5   \quad 1   \quad 1   \quad 3   \quad 5  \quad  2   \quad 2  
\quad 4   \quad 8   \quad 3   \quad 4   \quad 5