# LaTeX2HTML 95 (Thu Jan 19 1995)
# Associate image original text (scrambled) with physical files.

$key = q/{_inline}$1leqileqn${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img100.gif">'; 
$key = q/{table}[htb]centertabular||l|c|c|c|c||hline;SPM_amp;multicolumn4|c||emDecompositioncline2-5emcategory;SPM_amp;_inline$1times1$_inline;SPM_amp;_inline$2times2$_inline;SPM_amp;_inline$4times4$_inline;SPM_amp;_inline$8times8$_inlinehlineemtotaltime;SPM_amp;_inline$3.81$_inline;SPM_amp;_inline$3.85$_inline;SPM_amp;_inline$4.43$_inline;SPM_amp;_inline$5.82$_inlinehlineemcopy;SPM_amp;_inline$0.33$_inline;SPM_amp;_inline$0.39$_inline;SPM_amp;_inline$0.71$_inline;SPM_amp;_inline$1.14$_inlineembc;SPM_amp;_inline$0.16$_inline;SPM_amp;_inline$0.23$_inline;SPM_amp;_inline$0.38$_inline;SPM_amp;_inline$0.88$_inlinehlineemprec;SPM_amp;_inline$0.81$_inline;SPM_amp;_inline$0.75$_inline;SPM_amp;_inline$0.68$_inline;SPM_amp;_inline$0.66$_inlineemmatvec;SPM_amp;_inline$0.58$_inline;SPM_amp;_inline$0.57$_inline;SPM_amp;_inline$0.61$_inline;SPM_amp;_inline$0.64$_inlinehlinetabularcenterlabeltab-overhead{table}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img135.gif">'; 
$key = q/{_inline}$tildeN_jac${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img27.gif">'; 
$key = q/{_inline}$P=LD^-1U${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img94.gif">'; 
$key = q/{_inline}$A_jiv_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img132.gif">'; 
$key = q/{_inline}$A_ji${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img127.gif">'; 
$key = q/{_inline}$i=1,ldotsk${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img55.gif">'; 
$key = q/{_inline}$p_i0=0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img38.gif">'; 
$key = q/{_inline}$epsilon=10^-4${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img106.gif">'; 
$key = q/{_inline}$(i,i-n_x),(i,i-1),(i,i),(i,i+1),(i,i+n_x)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img96.gif">'; 
$key = q/{_inline}$V_k=;SPM_lt;v_1,v_2,ldots,v_k;SPM_gt;${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img46.gif">'; 
$key = q/{_inline}$N_jac${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img12.gif">'; 
$key = q/{_inline}$epsilon=10^-8${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img105.gif">'; 
$key = q/{_inline}$v_k+1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img71.gif">'; 
$key = q/{_inline}$x_k+1=x_k+(b,v_k+1)s_k+1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img64.gif">'; 
$key = q/{_inline}$v=U^-1L^-1w${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img133.gif">'; 
$key = q/{_inline}$N_gs${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img11.gif">'; 
$key = q/{_inline}$A_iiv${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img134.gif">'; 
$key = q/{_inline}$(I-N^-1A)left[arraycw0arrayright]=0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img17.gif">'; 
$key = q/{_inline}$a_i,j=0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img98.gif">'; 
$key = q/{_inline}$s_k+1=tildeN^-1r_k${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img82.gif">'; 
$key = q/{_inline}$u(x,y)=1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img91.gif">'; 
$key = q/{table}[htb]centertabular||c|c|c|c||hline;SPM_amp;emPoisson;SPM_amp;emRecirculatingflow;SPM_amp;emUniformflowhlineILUDpreconditioner;SPM_amp;_inline$393.74$_inline;SPM_amp;_inline$525.04$_inline;SPM_amp;_inline$171.57$_inlineILUDpostconditioner;SPM_amp;_inline$333.84$_inline;SPM_amp;_inline$394.69$_inline;SPM_amp;_inline$161.85$_inlinehlinetabularcenterlabeltab-single{table}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img115.gif">'; 
$key = q/{_inline}$A_ii${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img35.gif">'; 
$key = q/{_inline}$p(A_ii)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img41.gif">'; 
$key = q/{_inline}$As_k+1=r_k${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img81.gif">'; 
$key = q/{_inline}$x_k=sum_i=1ldotsk(b,v_i)s_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img63.gif">'; 
$key = q/{_inline}$p(A_ii)r_0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img36.gif">'; 
$key = q/{_inline}${v_i}_i=1,ldots,k${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img51.gif">'; 
$key = q/{_inline}$x_kinS_k${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img53.gif">'; 
$key = q/{_inline}$p=tildeN_gs^-1v${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img29.gif">'; 
$key = q/{_inline}$8times8=64${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img120.gif">'; 
$key = q/{_inline}$As_k+1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img68.gif">'; 
$key = q/{table}[htb]centertabular||c|l|c|c||hline;SPM_amp;_inline$epsilon$_inline;SPM_amp;_inline$|u^h-u|_infty$_inline;SPM_amp;_inline$|u^h-u|_2$_inlinehlineI;SPM_amp;_inline$10^-8$_inline;SPM_amp;_inline$0.00001$_inline;SPM_amp;_inline$0.0002$_inline;SPM_amp;_inline$10^-4$_inline;SPM_amp;_inline$0.0020$_inline;SPM_amp;_inline$0.0030$_inlinehlineII;SPM_amp;_inline$10^-4$_inline;SPM_amp;_inline$0.0032$_inline;SPM_amp;_inline$0.0016$_inline;SPM_amp;_inline$10^-3$_inline;SPM_amp;_inline$0.0033$_inline;SPM_amp;_inline$0.0016$_inline;SPM_amp;_inline$10^-2$_inline;SPM_amp;_inline$0.0029$_inline;SPM_amp;_inline$0.0014$_inline;SPM_amp;_inline$10^-1$_inline;SPM_amp;_inline$0.0038$_inline;SPM_amp;_inline$0.0020$_inlinehlineIII;SPM_amp;IBLUD;SPM_amp;_inline$0.0010$_inline;SPM_amp;_inline$0.0022$_inlinehlinetabularcenterlabeltab-resid{table}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img113.gif">'; 
$key = q/{_inline}$u^h${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img110.gif">'; 
$key = q/{_inline}$u^m+1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img18.gif">'; 
$key = q/{_inline}$10^-1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img143.gif">'; 
$key = q/{_inline}$S_k${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img74.gif">'; 
$key = q/{_inline}$V_k${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img52.gif">'; 
$key = q/{_inline}$2times2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img119.gif">'; 
$key = q/{_inline}$b-Ax_kperpv_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img54.gif">'; 
$key = q/{_inline}$m=Np${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img125.gif">'; 
$key = q/{_inline}$1leqileqk${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img73.gif">'; 
$key = q/{_inline}$partialupartialn=0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img92.gif">'; 
$key = q/{_inline}$4times4${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img104.gif">'; 
$key = q/{_inline}$d_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img99.gif">'; 
$key = q/{_inline}$S_k=;SPM_lt;s_1,s_2,ldots,s_k;SPM_gt;${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img44.gif">'; 
$key = q/{_inline}$b_xtimesb_y-n_xtimesn_y${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img116.gif">'; 
$key = q/{_inline}$tildeA_ii^-1=p(A_ii)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img42.gif">'; 
$key = q/{table}[htb]centertabular||c|c|c|c|c||hline;SPM_amp;;SPM_amp;multicolumn3|c||decompositioncline3-5;SPM_amp;_inline$epsilon$_inline;SPM_amp;_inline$2times2-40times40$_inline;SPM_amp;_inline$4times4-20times20$_inline;SPM_amp;_inline$8times8-10times10$_inlinehlineI;SPM_amp;_inline$10^-8$_inline;SPM_amp;_inline$1464.04$_inline;SPM_amp;_inline$1938.74$_inline;SPM_amp;_inline$2742.69$_inline;SPM_amp;_inline$10^-4$_inline;SPM_amp;_inline$1430.01$_inline;SPM_amp;_inline$1922.98$_inline;SPM_amp;_inline$2730.31$_inlinehlineII;SPM_amp;_inline$10^-4$_inline;SPM_amp;_inline$1122.73$_inline;SPM_amp;_inline$1416.91$_inline;SPM_amp;_inline$2022.24$_inline;SPM_amp;_inline$10^-3$_inline;SPM_amp;_inline$1118.73$_inline;SPM_amp;_inline$1414.00$_inline;SPM_amp;_inline$2121.36$_inline;SPM_amp;_inline$10^-2$_inline;SPM_amp;_inline$1112.56$_inline;SPM_amp;_inline$1512.27$_inline;SPM_amp;_inline$2119.18$_inline;SPM_amp;_inline$10^-1$_inline;SPM_amp;_inline$138.64$_inline;SPM_amp;_inline$179.90$_inline;SPM_amp;_inline$2419.44$_inlinehlineIII;SPM_amp;IBLUDpost+GMRES;SPM_amp;_inline$333.85$_inline;SPM_amp;_inline$334.43$_inline;SPM_amp;_inline$355.82$_inline;SPM_amp;IBLUDpost+GCR;SPM_amp;_inline$334.73$_inline;SPM_amp;_inline$335.19$_inline;SPM_amp;_inline$357.00$_inlinehlinetabularcenterlabeltab-multi-poisson{table}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img130.gif">'; 
$key = q/{_inline}$s_k+1=r_k${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img77.gif">'; 
$key = q/{_inline}$tildeA_ii=L_iU_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img32.gif">'; 
$key = q/{_inline}$v_k+1=As_k+1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img70.gif">'; 
$key = q/{_inline}$epsilon=10^-1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img142.gif">'; 
$key = q/{_inline}$b_xtimesb_y${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img117.gif">'; 
$key = q/{_inline}$10-20%${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img129.gif">'; 
$key = q/{_inline}$r_k+1=r_k-(b,v_k+1)v_k+1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img66.gif">'; 
$key = q/{table}[htb]centertabular||c|c|c|c|c||hlinemulticolumn5||c||Recirculatingflowhline;SPM_amp;;SPM_amp;multicolumn3|c||decompositioncline3-5;SPM_amp;_inline$epsilon$_inline;SPM_amp;_inline$2times2-40times40$_inline;SPM_amp;_inline$4times4-20times20$_inline;SPM_amp;_inline$8times8-10times10$_inlinehlineI;SPM_amp;_inline$10^-8$_inline;SPM_amp;_inline$824.80$_inline;SPM_amp;_inline$1220.74$_inline;SPM_amp;_inline$2030.07$_inline;SPM_amp;_inline$10^-4$_inline;SPM_amp;_inline$814.38$_inline;SPM_amp;_inline$1213.52$_inline;SPM_amp;_inline$2023.61$_inlinehlineII;SPM_amp;_inline$10^-4$_inline;SPM_amp;_inline$69.99$_inline;SPM_amp;_inline$99.91$_inline;SPM_amp;_inline$1618.16$_inline;SPM_amp;_inline$10^-3$_inline;SPM_amp;_inline$68.45$_inline;SPM_amp;_inline$98.68$_inline;SPM_amp;_inline$1617.22$_inline;SPM_amp;_inline$10^-2$_inline;SPM_amp;_inline$77.64$_inline;SPM_amp;_inline$97.38$_inline;SPM_amp;_inline$1615.95$_inline;SPM_amp;_inline$10^-1$_inline;SPM_amp;_inline$96.21$_inline;SPM_amp;_inline$106.47$_inline;SPM_amp;_inline$1816.42$_inlinehlineIII;SPM_amp;IBLUDpost+GMRES;SPM_amp;_inline$435.20$_inline;SPM_amp;_inline$466.24$_inline;SPM_amp;_inline$498.31$_inline;SPM_amp;IBLUDpost+GCR;SPM_amp;_inline$436.40$_inline;SPM_amp;_inline$467.49$_inline;SPM_amp;_inline$499.67$_inlinehlinehlinemulticolumn5||c||Uniformflowhline;SPM_amp;;SPM_amp;multicolumn3|c||decompositioncline3-5;SPM_amp;_inline$epsilon$_inline;SPM_amp;_inline$2times2-40times40$_inline;SPM_amp;_inline$4times4-20times20$_inline;SPM_amp;_inline$8times8-10times10$_inlinehlineI;SPM_amp;_inline$10^-8$_inline;SPM_amp;_inline$68.64$_inline;SPM_amp;_inline$77.98$_inline;SPM_amp;_inline$810.16$_inline;SPM_amp;_inline$10^-4$_inline;SPM_amp;_inline$65.37$_inline;SPM_amp;_inline$75.60$_inline;SPM_amp;_inline$88.21$_inlinehlineII;SPM_amp;_inline$10^-4$_inline;SPM_amp;_inline$43.37$_inline;SPM_amp;_inline$53.74$_inline;SPM_amp;_inline$76.63$_inline;SPM_amp;_inline$10^-3$_inline;SPM_amp;_inline$42.97$_inline;SPM_amp;_inline$53.30$_inline;SPM_amp;_inline$76.17$_inline;SPM_amp;_inline$10^-2$_inline;SPM_amp;_inline$42.40$_inline;SPM_amp;_inline$52.82$_inline;SPM_amp;_inline$75.84$_inline;SPM_amp;_inline$10^-1$_inline;SPM_amp;_inline$52.02$_inline;SPM_amp;_inline$62.93$_inline;SPM_amp;_inline$85.99$_inlinehlineIII;SPM_amp;IBLUDpost+GMRES;SPM_amp;_inline$161.89$_inline;SPM_amp;_inline$162.13$_inline;SPM_amp;_inline$162.74$_inline;SPM_amp;IBLUDpost+GCR;SPM_amp;_inline$162.29$_inline;SPM_amp;_inline$162.50$_inline;SPM_amp;_inline$163.05$_inlinehlinetabularcenterlabeltab-multi-advdif{table}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img131.gif">'; 
$key = q/{_inline}$s_k+1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img67.gif">'; 
$key = q/{_inline}$tildeN_gs${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img26.gif">'; 
$key = q/{_inline}$s_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img45.gif">'; 
$key = q/{_inline}$u(x,y)=x^2+y^2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img111.gif">'; 
$key = q/{_inline}$r_k${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img69.gif">'; 
$key = q/{_inline}$|x|_2=sqrtsum_i=1,ldots,nx_i^2n${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img112.gif">'; 
$key = q/{_inline}$v_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img39.gif">'; 
$key = q/{_inline}$|star|_2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img37.gif">'; 
$key = q/{_inline}$tildeA_ii${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img83.gif">'; 
$key = q/{figure}[htb]centerlinepsfigfile=relvars.eps,width=7.8cm,height=5.0cmlabelfig-relvars{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img19.gif">'; 
$key = q/{_inline}$|r_k|leqepsilon|r_0|${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img85.gif">'; 
$key = q/{_inline}$N^-1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img9.gif">'; 
$key = q/{_inline}$r_k=b-Ax_k${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img65.gif">'; 
$key = q/{table}[htb]centertabular||c|c|c|c|c|c|c||hline;SPM_amp;multicolumn2|c|emPoisson;SPM_amp;multicolumn2|c|emRecirculatingflow;SPM_amp;multicolumn2|c||emUniformflowcline2-7_inline$eps$_inline;SPM_amp;emseq;SPM_amp;empar;SPM_amp;emseq;SPM_amp;empar;SPM_amp;emseq;SPM_amp;emparhline_inline$10^-4$_inline;SPM_amp;_inline$1416.91$_inline;SPM_amp;_inline$3137.39$_inline;SPM_amp;_inline$99.91$_inline;SPM_amp;_inline$1618.00$_inline;SPM_amp;_inline$53.74$_inline;SPM_amp;_inline$128.96$_inline_inline$10^-3$_inline;SPM_amp;_inline$1414.00$_inline;SPM_amp;_inline$3231.95$_inline;SPM_amp;_inline$98.68$_inline;SPM_amp;_inline$1615.99$_inline;SPM_amp;_inline$53.30$_inline;SPM_amp;_inline$128.00$_inline_inline$10^-2$_inline;SPM_amp;_inline$1512.27$_inline;SPM_amp;_inline$3327.17$_inline;SPM_amp;_inline$97.38$_inline;SPM_amp;_inline$1613.47$_inline;SPM_amp;_inline$52.82$_inline;SPM_amp;_inline$127.04$_inline_inline$10^-1$_inline;SPM_amp;_inline$179.90$_inline;SPM_amp;_inline$3419.94$_inline;SPM_amp;_inline$106.47$_inline;SPM_amp;_inline$1711.34$_inline;SPM_amp;_inline$62.93$_inline;SPM_amp;_inline$125.97$_inlineIBLUD+GMRES;SPM_amp;_inline$334.43$_inline;SPM_amp;_inline$445.85$_inline;SPM_amp;_inline$466.24$_inline;SPM_amp;_inline$536.91$_inline;SPM_amp;_inline$162.13$_inline;SPM_amp;_inline$212.81$_inlinehlinetabularcenterlabeltab-par{table}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img141.gif">'; 
$key = q/{_inline}$n_xtimesn_y${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img118.gif">'; 
$key = q/{_inline}$10cdot(y+1)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img90.gif">'; 
$key = q/{_inline}$80times80${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img103.gif">'; 
$key = q/{_inline}$mathaccent;SPM_quot;707ErelaxN${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img1.gif">'; 
$key = q/{_inline}$As_i=v_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img75.gif">'; 
$key = q/{_inline}$mboxitercountmboxtime${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img102.gif">'; 
$key = q/{_inline}$Ax_kinV_k${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img57.gif">'; 
$key = q/{_inline}$u=left[arrayc0varrayright]${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img16.gif">'; 
$key = q/{_inline}$|b-Ax_k|_2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img49.gif">'; 
$key = q/{_inline}$u^m${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img13.gif">'; 
$key = q/{_inline}$tildeN${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img43.gif">'; 
$key = q/{_inline}$10^-4${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img101.gif">'; 
$key = q/{_inline}$tildeA_ii^-1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img31.gif">'; 
$key = q/{_inline}$Q^T${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img20.gif">'; 
$key = q/{_inline}$lambda_i=(b,v_i)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img59.gif">'; 
$key = q/{_inline}$U^-1L^-1timesmboxvector${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img109.gif">'; 
$key = q/{_inline}$r=Q^TN^-1f-Q^TN^-1AQv${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img84.gif">'; 
$key = q/{_inline}$32${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img79.gif">'; 
$key = q/{_inline}$p_i=p(A_ii)v_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img40.gif">'; 
$key = q/{table}[htb]centertabular||c|l|c|c|c||hline;SPM_amp;_inline$epsilon$_inline;SPM_amp;emPoisson;SPM_amp;emRecirculatingflow;SPM_amp;emUniformflowhlineI;SPM_amp;_inline$10^-8$_inline;SPM_amp;_inline$1938.74$_inline;SPM_amp;_inline$1220.74$_inline;SPM_amp;_inline$77.98$_inline;SPM_amp;_inline$10^-4$_inline;SPM_amp;_inline$1922.98$_inline;SPM_amp;_inline$1213.52$_inline;SPM_amp;_inline$75.60$_inlinehlineII;SPM_amp;_inline$10^-4$_inline;SPM_amp;_inline$1416.91$_inline;SPM_amp;_inline$99.91$_inline;SPM_amp;_inline$53.74$_inline;SPM_amp;_inline$10^-3$_inline;SPM_amp;_inline$1414.00$_inline;SPM_amp;_inline$98.68$_inline;SPM_amp;_inline$53.30$_inline;SPM_amp;_inline$10^-2$_inline;SPM_amp;_inline$1512.27$_inline;SPM_amp;_inline$97.38$_inline;SPM_amp;_inline$52.82$_inline;SPM_amp;_inline$10^-1$_inline;SPM_amp;_inline$179.90$_inline;SPM_amp;_inline$106.47$_inline;SPM_amp;_inline$62.93$_inlinehlineIII;SPM_amp;IBLUDpost+GMRES;SPM_amp;_inline$334.43$_inline;SPM_amp;_inline$466.24$_inline;SPM_amp;_inline$162.13$_inline;SPM_amp;IBLUDpost+GCR;SPM_amp;_inline$335.19$_inline;SPM_amp;_inline$467.49$_inline;SPM_amp;_inline$162.50$_inlinehlinetabularcenterlabeltab-lower{table}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img108.gif">'; 
$key = q/{_inline}$Q=left[arrayc0Iarrayright]${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img15.gif">'; 
$key = q/{_inline}$a^1=a^2=0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img4.gif">'; 

1;

