# LaTeX2HTML 2018 (Released Feb 1, 2018)
# Associate images original text with physical files.
$key = q/(0dotsnp-1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|
|;
$key = q/(1dotsmg);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/(1dotsnp);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/(i+irw-1),ja(j),val(j);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/-1<=root<=np-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/-1leiamlenp-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/-1lerootlenp-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/0,1;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/0;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/0<=dst<=np-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/0<=m<=size(dat,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/0<=root<=np-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/0<=src<=np-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/0leiamlenp-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/0leidlenp-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/0lepv(i)|;
$key = q/1;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/1dotsn;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/1dotsn_{hbox{row}_i};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/>0;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/A;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/A^T;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/CG;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/D;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/FCG(1);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/I;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/ILU(0);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/IX;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/N_I=nl;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/O(n^2);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/O(nlogn);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/P^T;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/P^{T};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/P_a;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/P_aP^T;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/Q;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/T;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/X;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/a;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/a_{ij}ne0;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/alpha;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/amax;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/asum;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/beta;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/calB;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/calH;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/calI;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/collect;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/dat;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/dat_i;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/diag(1)=1(noscaling);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/dot;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/dst;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/fbox{TheSbox};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/flag=psb_sort_keep_idx_;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/flag=psb_sort_ovw_idx_;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/glob_x;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/glob_x_{1:m,1:n};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/i+irw-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/i;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/i=1,dots,nz;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/i=1,nr;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/ia(i),ja(i),val(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/ia(i),ja(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/ia(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/iam=-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/id;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/iin{1dotsmg};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/includegraphics[scale=0.45]{figuresslashtry8x8.eps};FSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/includegraphics[scale=0.45]{figuresslashtry8x8};FSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/includegraphics[scale=0.65]{figuresslashpoints.eps};FSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/includegraphics[scale=0.65]{figuresslashpsblas.eps};FSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/includegraphics[scale=0.65]{figuresslashpsblas};FSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/includegraphics[scale=0.65]{figuresslashtry8x8_ov.eps};FSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/includegraphics[scale=0.65]{figuresslashtry8x8_ov};FSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/irst>0;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/irw(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/itmax=1000;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/itmaxge1;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/itrace;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/itrace=-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/ix(1:n);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/ix(:);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/ix(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/ix(i)leftarrowi;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/j;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/j=irp(i),dots,irp(i+1)-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/ja(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/lidx(1:nl);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/loc_x_i;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/m;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/mg;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/n;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/n_{hbox{row}_i}+1dotsn_{hbox{col}_i};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/nlge0;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/nnz;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/np-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/np;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/nr+1;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/nrm2;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/nv>1;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/nz;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/nzin+nz;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/ptype;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/r_i=b-Ax_i;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/res;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/root=-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/rotatebox{-90}{includegraphics[scale=0.65]{figuresslashpoints}};FSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/row;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/scatter;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/size(dat,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/slash;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/src;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/trans=N;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/unitd=U;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/update_type=psb_avg_;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/val;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/vg(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/vg;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/vl(1:nl);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/vl;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/x(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/x(i)=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/x;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/x_i,y;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/x_i;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/x_{:,:};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/y(i)=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/y;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/y_{:,:};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}14{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}amaxleftarrowmax_i{(|re(x_i)|+|im(x_i)|)}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}amaxleftarrowmax_i|x_i|{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}asumleftarrow|re(x)|_1+|im(x)|_1{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}asumleftarrow|x_i|{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}dotleftarrowx(i)y(i).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}dotleftarrowx^Hy{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}dotleftarrowx^Ty{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}err=frac{|r_i|}{(|A||x_i|+|b|)}|;
$key = q/{displaymath}err=frac{|r_i|}{|b|_2}|;
$key = q/{displaymath}err=frac{|r_i|}{|r_0|_2}|;
$key = q/{displaymath}glob_xleftarrowcollect(loc_x_i){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}loc_x_ileftarrowscatter(glob_x){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}nrm1leftarrow|A|_1{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}nrm2leftarrowsqrt{x^Hx}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}nrm2leftarrowsqrt{x^Tx}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}nrmileftarrow|A|_infty{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}res(i)leftarrowmax_k|x(k,i)|{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}res(i)leftarrowx(:,i)^Ty(:,i){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}res(i)leftarrow|re(x)|_1+|im(x)|_1{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}res(i)leftarrow|x(:,i)|_2{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}res(i)leftarrow|x_i|{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}res=sqrt{sum_idat_i^2},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}slashleftarrow1slashx(i).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}slashleftarrowx(i)slashy(i).{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}xleftarrowQx{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}xleftarrowx{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}yleftarrowalpha>x+betay{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}yleftarrowalphaA^Hx+betay{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}yleftarrowalphaA^Tx+betay{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{displaymath}yleftarrowalphaAx+betay{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/{eqnarraystar}y&leftarrow&alphaT^{-1}x+betayy&leftarrow&alphaDT^{-1}x+betayy&lefhaDT^{-H}x+betayy&leftarrow&alphaT^{-H}Dx+betay{eqnarraystar};MSF=1.6;TAGS=R;AAT/;
$cached_env_img{$key} = q||;
$key = q/{lstlisting}callhb_read(a,iret,iunit,filename,b,mtitle){lstlisting};AAT/;
$cached_env_img{$key} = q||;
$key = q/{lstlisting}callhb_write(a,iret,iunit,filename,key,rhs,mtitle){lstlisting};AAT/;
$cached_env_img{$key} = q||;
$key = q/{lstlisting}callmm_array_read(b,iret,iunit,filename){lstlisting};AAT/;
$cached_env_img{$key} = q||;
$key = q/{lstlisting}callmm_array_write(b,iret,iunit,filename){lstlisting};AAT/;
$cached_env_img{$key} = q||;
$key = q/{lstlisting}callmm_mat_read(a,iret,iunit,filename){lstlisting};AAT/;
$cached_env_img{$key} = q||;
$key = q/{lstlisting}callmm_mat_write(a,mtitle,iret,iunit,filename){lstlisting};AAT/;
$cached_env_img{$key} = q||;
$key = q/{lstlisting}callpsb_error(icontxt){lstlisting};AAT/;
$cached_env_img{$key} = q||;
$key = q/{lstlisting}callpsb_errpush(err_c,r_name,i_err,a_err){lstlisting};AAT/;
$cached_env_img{$key} = q||;
$key = q/{lstlisting}callpsb_gather(glob_x,loc_x,desc_a,info,root)callpsb_gather(glob_x,loc_x,desc_a,info,root){lstlisting};AAT/;
$cached_env_img{$key} = q||;
$key = q/{lstlisting}callpsb_halo(x,desc_a,info)callpsb_halo(x,desc_a,info,work,data){lstlisting};AAT/;
$cached_env_img{$key} = q||;
$key = q/{lstlisting}callpsb_krylov(method,a,prec,b,x,eps,desc_a,info,&&itmax,iter,err,itrace,irst,istop,cond){lstlisting};AAT/;
$cached_env_img{$key} = q||;
$key = q/{lstlisting}callpsb_ovrl(x,desc_a,info)callpsb_ovrl(x,desc_a,info,update=update_type,work=work){lstlisting};AAT/;
$cached_env_img{$key} = q||;
$key = q/{lstlisting}callpsb_scatter(glob_x,loc_x,desc_a,info,root,mold){lstlisting};AAT/;
$cached_env_img{$key} = q||;
$key = q/{lstlisting}callpsb_set_erraction(err_act){lstlisting};AAT/;
$cached_env_img{$key} = q||;
$key = q/{lstlisting}callpsb_set_errverbosity(v){lstlisting};AAT/;
$cached_env_img{$key} = q||;
$key = q/{lstlisting}vres(1)=psb_geamax(x1,desc_a,info,global=.false.)vres(2)=psb_geamax(eamax(x3,desc_a,info,global=.false.)callpsb_amx(ictxt,vres(1:3)){lstlisting};AAT/;
$cached_env_img{$key} = q||;
$key = q/{lstlisting}vres(1)=psb_geasum(x1,desc_a,info,global=.false.)vres(2)=psb_geasum(easum(x3,desc_a,info,global=.false.)callpsb_sum(ictxt,vres(1:3)){lstlisting};AAT/;
$cached_env_img{$key} = q||;
$key = q/{lstlisting}vres(1)=psb_gedot(x1,y1,desc_a,info,global=.false.)vres(2)=psb_gedotot(x3,y3,desc_a,info,global=.false.)callpsb_sum(ictxt,vres(1:3)){lstlisting};AAT/;
$cached_env_img{$key} = q||;
$key = q/{lstlisting}vres(1)=psb_genrm2(x1,desc_a,info,global=.false.)vres(2)=psb_genrm2(nrm2(x3,desc_a,info,global=.false.)callpsb_nrm2(ictxt,vres(1:3)){lstlisting};AAT/;
$cached_env_img{$key} = q||;
$key = q/|{calI}_i|+|{calB}_i|+|{calH}_i|;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
$key = q/|{calI}_i|+|{calB}_i|;MSF=1.6;AAT/;
$cached_env_img{$key} = q||;
1;