🚀 go-pugleaf

from article <50lg4f$7vk@sakura.kudpc.kyoto-u.ac.jp>,
	by g52997@sakura.kudpc.kyoto-u.ac.jp (Tsukamoto, Chiaki):

$BDMK\$5$s!"(B

  $BAaB.$N%U%)%m!<M-Fq$&8f:B$$$^$9!#(B

|> In article <50ja0p$pqo@ces.ces.kyutech.ac.jp>
|> zhang@ces.ces.kyutech.ac.jp (Hong Zhang) writes:
|> >   $B<ALd$O<!$N@~7AJ}Dx<0(B $B&!&6(B=$B&Q&"$rK~B-$9$k9TNs&!(B($B&!$OBP>N!"H>@5Dj(B
|> > $B9TNs(B)$BB2$rG!2?$K5a$a$k$+$H$N$3$H$G$9!#$?$@$7!"&6$H&"$O%Y%/%H%k!"&Q(B
|> > $B$OJQ?t$G!"$7$+$b&Q(B>=0$B$G$9!#(B
|> 
|> X $B$ONm%Y%/%H%k$G$O$J$$$G$9$M(B. $BN>JU$r%9%+%i!<G\$7$F(B
|> X $B$ND9$5$O(B 1$B$G$"$k$H$7$^$7$g$&(B.
|> 
|> $BD>8r9TNs(B  P $B$r(B P X = e_1, P B = a e_1 + b e_2 $B$H(B
|> $B$J$k$h$&$KA*$S$^$9(B. $B$3$3$G(B e_1, e_2, ... , e_n $B$O(B
|> $BI8=`4pDl$G$9(B. P $B$NE>CV9TNs$r(B  P^* $B$H$7$^$9(B.
|> $B>e$NJ}Dx<0$O(B P A X = \rho P B $B$HF1CM$G$9(B.
|> $B99$K=q$-D>$9$H(B, P A P^* P X = P A P^* e_1 = \rho (a e_1 + b e_2)
|> $B$H$J$j$^$9(B. $B$3$3$G(B  P A P^* = C $B$H$9$l$P(B  A = P^* C P $B$G$"$j(B,
|> 
|>  C e_1 = \rho (a e_1 + b e_2)
|> 
|> $B$rK~$?$9BP>NH>@5DjCM9TNs$r5a$a$k$3$H$K5"Ce$7$^$9(B. C $B$O(B
|> 
|> a b 0 0
|> b c * *
|> 0 * * *
|> 0 * * *

   $B$3$N>l9g$OD>8r9TNs(B P$B$O0l0U$KDj$^$k$+$i!"5a$a$?$N$OBP>NH>(B
$B@5Dj9TNs&!B2$NCf$N$?$@$N0l$D$G$"$k$H;W$$$^$9!#$^$?(B n $B<!85$N(B
$BLdBj$K3HD%$9$k$H!">e5-$N(BMatrix$B$NCf$N(B*$B$H$3$m$NCM$OG!2?$KDj$a(B
$B$k$+$K$F!"MF0W$G$O$J$$$H;W$C$F!"G!2?$G$7$g$&!#(B

|> $B$N7A$NBP>NH>@5DjCM9TNs$N(B \rho $BG\$H$$$&Lu$G$9(B.
|>  ($BC"$7(B, \rho > 0.  \rho = 0 $B$@$H>/$70c$C$F$-$^$9(B.)
|> $BH>@5DjCM$N>r7o$O$A$g$C$HLq2p$G$9$M(B. $B@5DjCM$J$i4JC1$G$9$,(B.
|> $BI,MW>r7o$O(B a = (X, B)  ($BFb@Q(B) $B$,HsIi$H$+(B a c - b^2 $B$,(B
|> $BHsIi$H$+$,=P$F$-$^$9(B.
|> 
|> >  $B$3$l$O9TNs&!$K4X$9$k(BLMI$BLdBj$J$N$G!"?t3XE*$J5a$aJ}$O$"$k$N$G$7$g(B
|> > $B$&$+(B? $B$^$?LdBj2r7h$KEv$?$j!"%R%s%H$N$"$k;29MJ88%$dK\$,$"$j$^$7$?(B
|> > $B$i!"8f>R2p2<$5$$!#(B
|> 
|> LMI $B$H$O2?$G$7$g$&$+(B.

   LMI $B$H$O(B Linear Matrix Inequalities$B$N=L<L$G$9!#(BLMI$BM}O@$O(B
$B@)8f%7%9%F%`$N%Q%i%a!<%?@_7W$K$h$/;H$o$l$F$$$k$h$&$G$9!#(B

    $B59$7$/$*4j$$$7$^$9!#(B
    //////////////////////////////////////////////////////////////...
   /////////  ////          /////////// $B>O(B  $B9((B //////////////////...
  /////////  ////  /////  //////// $B@)8f%7%9%F%`65<<(B ////////////...
 /////////  ////  ////  //////$B6e=#9)6HBg3X(B  $B>pJs9)3XIt(B ////////...
/////////        ///  //// E-mail: zhang@ces.kyutech.ac.jp ///...
 ///////  ////  //  /// http://www.ces.kyutech.ac.jp/~zhang ///...
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