# LaTeX2HTML 96.1-g (June 11, 1996)
# Associate images original text with physical files.

$key = q/{_inline}$beta${_inline}/;
$cached_env_img{$key} = q| <IMG WIDTH=10 HEIGHT=27 ALIGN=MIDDLE  SRC="img14.gif"  > |; 
$key = q/{_inline}$tau${_inline}/;
$cached_env_img{$key} = q| <IMG WIDTH=8 HEIGHT=8 ALIGN=BOTTOM  SRC="img17.gif"  > |; 
$key = q/{picture}(15,9)thicklinesput(0,6)framebox(6,2)_inline$left(arraycx_1x_2arrayright)$_inlineput(3,6)vector(0,-1)2put(0,2)framebox(6,2)_inline$left(arraycalphax_1alphax_2arrayright)$_inlineput(8,6)framebox(6,2)_inline$left(arraycx_3x_4arrayright)$_inlineput(11,6)vector(0,-1)2put(8,2)framebox(6,2)_inline$left(arraycx_3x_4arrayright)$_inline{picture}/;
$cached_env_img{$key} = q| <IMG WIDTH=69 HEIGHT=54 ALIGN=BOTTOM  SRC="img11.gif"  > |; 
$key = q/{displaymath}|beta|=|x|_2.{displaymath}/;
$cached_env_img{$key} = q| <IMG WIDTH=290 HEIGHT=18 ALIGN=BOTTOM  SRC="img18.gif"  > |; 
$key = q/{displaymath}A=deltaleft(arrayccc1;SPMamp;ldots;SPMamp;1vdots;SPMamp;;SPMamp;vdots1;SPMamp;ldots;SPMamp;1arrayright),;;;deltamboxsmall{displaymath}/;
$cached_env_img{$key} = q| <IMG WIDTH=369 HEIGHT=68 ALIGN=BOTTOM  SRC="img21.gif"  > |; 
$key = q/{_inline}$mboxttsfminleftarrow2astmboxttsfmin${_inline}/;
$cached_env_img{$key} = q| <IMG WIDTH=143 HEIGHT=13 ALIGN=BOTTOM  SRC="img24.gif"  > |; 
$key = q/{_inline}$mboxfl(1+epsilon);SPMgt;1${_inline}/;
$cached_env_img{$key} = q| <IMG WIDTH=91 HEIGHT=26 ALIGN=MIDDLE  SRC="img4.gif"  > |; 
$key = q/{displaymath}x^T=left(arrayccccalphax_1;SPMamp;alphax_2;SPMamp;x_3;SPMamp;x_4arrayright).{displaymath}/;
$cached_env_img{$key} = q| <IMG WIDTH=362 HEIGHT=29 ALIGN=BOTTOM  SRC="img12.gif"  > |; 
$key = q/{_inline}$mboxttINFOneq0${_inline}/;
$cached_env_img{$key} = q| <IMG WIDTH=67 HEIGHT=27 ALIGN=MIDDLE  SRC="img25.gif"  > |; 
$key = q/{displaymath}H=I-tauvv^T,{displaymath}/;
$cached_env_img{$key} = q| <IMG WIDTH=305 HEIGHT=20 ALIGN=BOTTOM  SRC="img16.gif"  > |; 
$key = q/{displaymath}mboxttIf;;;|e_r|_2|x_r|_2;SPMlt;f(epsilon);;;mboxttthenconverged{displaymath}/;
$cached_env_img{$key} = q| <IMG WIDTH=410 HEIGHT=18 ALIGN=BOTTOM  SRC="img6.gif"  > |; 
$key = q/{displaymath}Hx=betae_1,{displaymath}/;
$cached_env_img{$key} = q| <IMG WIDTH=289 HEIGHT=17 ALIGN=BOTTOM  SRC="img13.gif"  > |; 
$key = q/{displaymath}mboxttif;;;|x|_2;SPMlt;delta;;;mboxttthen;;;xleftarrowalphax{displaymath}/;
$cached_env_img{$key} = q| <IMG WIDTH=360 HEIGHT=18 ALIGN=BOTTOM  SRC="img10.gif"  > |; 
$key = q/{_inline}$epsilon${_inline}/;
$cached_env_img{$key} = q| <IMG WIDTH=5 HEIGHT=8 ALIGN=BOTTOM  SRC="img3.gif"  > |; 
$key = q/{_inline}$|x|_2${_inline}/;
$cached_env_img{$key} = q| <IMG WIDTH=31 HEIGHT=26 ALIGN=MIDDLE  SRC="img20.gif"  > |; 
$key = q/{_inline}$approx10^-38${_inline}/;
$cached_env_img{$key} = q| <IMG WIDTH=58 HEIGHT=16 ALIGN=BOTTOM  SRC="img23.gif"  > |; 
$key = q/{_inline}$^ddagger${_inline}/;
$cached_env_img{$key} = q| <IMG WIDTH=5 HEIGHT=12 ALIGN=BOTTOM  SRC="img1.gif"  > |; 
$key = q/{_inline}$O(n^2)${_inline}/;
$cached_env_img{$key} = q| <IMG WIDTH=44 HEIGHT=30 ALIGN=MIDDLE  SRC="img26.gif"  > |; 
$key = q/{_inline}$mboxfl(x)${_inline}/;
$cached_env_img{$key} = q| <IMG WIDTH=31 HEIGHT=26 ALIGN=MIDDLE  SRC="img5.gif"  > |; 
$key = q/{_inline}$x_r${_inline}/;
$cached_env_img{$key} = q| <IMG WIDTH=15 HEIGHT=15 ALIGN=MIDDLE  SRC="img8.gif"  > |; 
$key = q/{_inline}$^dagger${_inline}/;
$cached_env_img{$key} = q| <IMG WIDTH=5 HEIGHT=12 ALIGN=BOTTOM  SRC="img2.gif"  > |; 
$key = q/{_inline}$e_r${_inline}/;
$cached_env_img{$key} = q| <IMG WIDTH=13 HEIGHT=15 ALIGN=MIDDLE  SRC="img7.gif"  > |; 
$key = q/{_inline}$|beta|${_inline}/;
$cached_env_img{$key} = q| <IMG WIDTH=17 HEIGHT=26 ALIGN=MIDDLE  SRC="img19.gif"  > |; 
$key = q/{_inline}$delta=mboxttsfmin${_inline}/;
$cached_env_img{$key} = q| <IMG WIDTH=76 HEIGHT=13 ALIGN=BOTTOM  SRC="img22.gif"  > |; 
$key = q/{displaymath}x^T=left(arrayccccx_1;SPMamp;x_2;SPMamp;x_3;SPMamp;x_4arrayright){displaymath}/;
$cached_env_img{$key} = q| <IMG WIDTH=346 HEIGHT=29 ALIGN=BOTTOM  SRC="img9.gif"  > |; 
$key = q/{_inline}$e_1${_inline}/;
$cached_env_img{$key} = q| <IMG WIDTH=13 HEIGHT=15 ALIGN=MIDDLE  SRC="img15.gif"  > |; 
$key = q/{_inline}$O(n^3)${_inline}/;
$cached_env_img{$key} = q| <IMG WIDTH=44 HEIGHT=30 ALIGN=MIDDLE  SRC="img27.gif"  > |; 

1;