\def\lg{\langle} >\def\Span{{\rm Span}} >\def\rg{\rangle} >\def\tr{{\rm tr}} >\def\R {I\kern-0.4em R} >\def\pp{\parallel} >\def \M {{\bf M}} >\def \S {{\bf P}_n} >\newtheorem{remark}[theorem]{{\bf \InF{}\bf \EnF{}}}[section] >\newtheorem{prop}[theorem]{{\bf \InF{}\bf 𥐤 \EnF{}}}[section] >\def\Ri {I\kern-0.22em R} >\def\Ro {I\kern-0.32em R} >\def\RR {{\angle}\kern-0.85em Z} >\def\N {I\kern-0.29em N} >\def\Ni {I\kern-0.21em N} >\def\nsubset {\subset\kern-0.95em /} >\def\lam {\lambda} >\def\Lam {\Lambda} >\def\Rn {\R^n} >\def\g {\gamma} >\def\G {\Gamma} >\def\a {\alpha} >\def\b {\beta} >\def\t {\theta} >\def\T {\Theta} >\def\d {\delta} >\def\D {\Delta} >\def\mj {m_0(M^{*-j}\xi)} >\def\mk {m_0(M^{*-k}\xi)} >\def\mn {m_0(M^{*-n}\xi)} >\def\z {\epsilon} >\def\w {\omega} >\def\W {\Omega} >\def\v {\varphi} >\def\sig {\sigma} >\def\Sig {\Sigma} >\def\l {\longrightarrow} >\def\GD {{\bf GD}_n} >\def\nolto {\lto\kern-1.25em /} >\def\L {\Longrightarrow} >\def\J {{\bf J}} >\newcommand{\bbar}[1]{\overline{#1}} >\newcommand{\tilda}[1]{\stackrel{\sim}{#1}} >\newcommand{\bint}{\left|_{_{_{_{}}}}^{^{^{^{}}}}\right.} >\newcommand{\nul}{{\siah0}} >\newcommand{\sml}[3]{\sum\limits_{{#1}={#2}}^{#3}} >\newcommand{\sm}[2]{\sum\limits_{#1}^{#2}} >\newcommand{\bu}[2]{\bigcup\limits_{#1}^{#2}} >\newcommand{\ba}[2]{\bigcap\limits_{#1}^{#2}} >\newcommand{\ex}[1]{e^{2\pi i{#1}}} >\newcommand{\ban}{\begin{eqnarray}} >\newcommand{\ean}{\end{eqnarray}} >\newcommand{\beq}{\begin{equation}} >\newcommand{\eeq}{\end{equation}} >\newcommand{\bans}{\begin{eqnarray*}} >\newcommand{\eans}{\end{eqnarray*}} >\newcommand{\ddd}{,\dots,} >\newcommand{\lll}{\left(} >\newcommand{\rrr}{\right)} >\newcommand{\jj}{\left[} >\newcommand{\JJ}{\right]} >\newcommand{\q}{\left|} >\newcommand{\Q}{\right|} >%\newcommand{\ha}[3]{{#1}\equiv{#2}\pmod{{#3}}} >%\newcommand{\nha}[3]{{#1}\not\equiv{#2}\pmod{{#3}}} >\newcommand{\ha}[3]{{#1}\stackrel{{#3}}{\equiv}{#2}} >\newcommand{\nha}[3]{{#1}\stackrel{{#3}}{\not\equiv}{#2}} >\newcommand{\m}{\widetilde} >\newcommand{\li}[1]{\lim\limits_{#1}} >\newcommand{\lil}[2]{\lim\limits_{{#1}\ra{#2}}} >\def\k {\kappa} >\newcommand{\ga}{\begin{array}} >\newcommand{\na}{\end{array}} >\def \P {\Psi} >\newcommand{\e}{\english} >\newcommand{\f}{\farsi} >\newcommand{\s}[3]{\sum\limits_{{#1}\leq{#2}\leq{#3}}} >\newcommand{\bb}[2]{\left({#1}\atop{#2}\right)} >\newcommand{\p}{\par} >\newcommand{\lee}[3]{{{#1}\le{#2}}\le{#3}} >\newcommand{\r}{\Rightarrow} >\newcommand{\ra}{\rightarrow} >\newcommand{\h}{\widehat} >\newcommand{\ol}{\overline} >\newcommand{\ve}{\varepsilon} >\newcommand{\ii}{\int_{-\infty}^\infty} >\newcommand{\ir}{\int_{\Ri}} >\newcommand{\ird}{\int_{\Ri^d}} >\newcommand{\pl}[2]{\prod\limits_{#1}^{#2}} >\newcommand{\dd}{,\dots,} >\newcommand{\va}{\varphi} >\newcommand{\se}{\subseteq} >\newcommand{\exm}[1]{e^{-2\pi i{#1}}} >\newcommand{\y}{\frac12} >\newcommand{\n}{\nonumber} >\newcommand{\omn}{\Omega_n} < < >%topmargin=-3cm >%input{epsf} >%begin{figure}[position] >%epsfxsize=1in >%epsfysize=1.1in >%centerine{\epsffile{armtmu.eps}\hspace{-55mm}\vspace{25mm}} >%end{figure} < \topmargin=0.5cm <ڷڬڝ %\english >%\oddsidemargin=1.5cm >%\englishschool{Science}%ڢ >%\englishdegree{Master of Science in Aplied Mathematics}%ڐ >%\englishdegree{PhD in Statistics}%ڢ >%\englishtitle{Approximate theory and entanglement} >%\date %ڕ >%\englishauthor{M. Rezghi }%ڢ >%\englishsupervisor{Dr. S.M. Hosseini }%ڐڤ >%\englishadvisor{Dr. Mohammad Hosseini }%ڐ >%𤐨ڛڤڡړ𣐤 >%\englishthesisdate{July 2004}%ڢ >%======================================================================== >%\input{Abstract1}%ڐ >%\topmargin=-3cm >%input{epsf} >%begin{figure}[position] >%\epsfxsize=1in >%\epsfysize=1.1in >%centerline{\epsffile{armtmu.eps}\hspace{0mm}\vspace{25mm}} >%end{figure} >%\makeenglishtitle%ڐ >%\english >%\thispagestyle{empty} >%\font\titlefont=cmssbx10 scaled 2074 >%\font\supervisorfont=cmbxti10 >%\font\advisorfont=cmbxti10 >%\newpage\centering >%\topmargin=-3.5cm >%\input{epsf} >%\begin{figure}[position] >%\epsfxsize=1in >%\epsfysize=1in >%\centerline{\epsffile{armtmu.eps}}%\hspace{0mm}\vspace{0mm}} >%\end{figure} >%\newpage\centering >%\thispagestyle{empty} >%\vskip 0.1cm >%{\large\bf T.M.U}\par >%\vskip 0.5cm >%{\titlefont An incomplete factorization preconditioner based on A-orthogonalization process for linear systems} \par >%\vskip 0.5cm >%{\bf A Thesis Presented for the Degree of Master of science in Applied Mathematic } \par >%\vskip 0.5cm >%{\large\bf School of science} \par >%\vskip 0.5cm >%{\bf By: } \par >%{\Large\bf M. Rezghi} \par >%\vskip 0.5cm >%{\bf Supervisor:} \par >%{\supervisorfont\large\bf DR. S.M. Hosseini} \par >%\vskip 0.5cm >%{\bf Advisor:} \par >%{\advisorfont\large\bf DR. S.M.B. Kashani} \par >%\vskip 0.5cm >%{\bf 2004} >%\farsi <