$B9)A!Bg$NDMK\$G$9(B.
Post by Hiroyuki$B$3$l$G%Q%i%a!<%?!<$O#3$D8:$i$;$^$9!#$&$l$7$$!*(B
$B$$$((B, S^2 $B$N@\6u4V$O(B 4 parameters $B$G(B, $B$=$N$&$A(B 2$B$D8:$C$F(B
2 parameters $B$K$J$k$N$G$9(B.
Post by Hiroyuki$B$8$a$KJY6/$7$?$3$H$,$J$$$N$G!"<g<4$C$F2?!)$H$$(B
$B$&?M$G$9$+$i!":G=i$+$i%.%V%"%C%W$G$9!#(B(^^;;
$B$3$l$OJY6/$5$l$k$HNI$$$H;W$$$^$9(B. $B=E?4$r86E@$K$H$C$F%G!<%?$r(B
$B%Y%/%H%k(B X_a (a = 1, 2, ... , N)
$B(#(B $B($(B
$B("(BX_{1a}$B("(B
X_a = $B("(BX_{2a}$B("(B
$B("(BX_{3a}$B("(B
$B(&(B $B(%(B
$B$GI=$7$^$9(B. $B5a$a$kD>@~$NC10LJ}8~%Y%/%H%k(B u ((u, u) = 1)
$B(#(B $B($(B
$B("(Bu_1$B("(B
u = $B("(Bu_2$B("(B
$B("(Bu_3$B("(B
$B(&(B $B(%(B
$B$r$I$&5a$a$k$+$H$$$&$H(B, $B&2(B_a (X_a - (X_a, u) u, X_a - (X_a, u) u)
$B$r:G>.$K$9$k$h$&$K<h$l$PNI$$Lu$G$9$,(B,
$B&2(B_a (X_a - (X_a, u) u, X_a - (X_a, u) u)
= $B&2(B_a (X_a, X_a) - $B&2(B_a (X_a, u)^2
$B$G$9$+$i(B, (u, u) = 1 $B$H$$$&>r7oIU$N(B $B&2(B_a (X_a, u)^2 $B$N(B
$B:GBgCMLdBj$r2r$/$3$H$K$J$j$^$9(B.
d((u, u) - 1) = 2(u, du) = 2 $B&2(B_i u_i du_i,
d($B&2(B_a (X_a, u)^2) = 2 $B&2(B_a (X_a, u)(X_a, du)
= 2 $B&2(B_i ($B&2(B_j ($B&2(B_a X_{ia} X_{ja}) u_j) du_i,
$B$G$9$+$i(B, $B$"$k<B?t&K$K$D$$$F(B
d($B&2(B_a (X_a, u)^2) - $B&K(B d((u, u) - 1) = 0,
$BB($A(B,
$B&2(B_j ($B&2(B_a X_{ia} X_{ja}) u_j) = $B&K(B u_i ($B"O(Bi)
$B$rK~$?$9(B u $B$r5a$a$k$3$H$K$J$j$^$9(B. $B$3$l$O(B Y = X X^*
Y_{ij} = $B&2(B_a X_{ia} X_{ja}
$B$H$$$&BP>N9TNs$N8GM-%Y%/%H%k$r5a$a$k$3$H$KB>$J$j$^$;$s(B.
($B$3$NBP>N9TNs$OIaDL$N%G!<%?$K$D$$$F$***@5DjCM$G(B), $B:GBgCM(B
$BLdBj$N2r(B, $B$D$^$j:G>.Fs>hK!$KBP1~$9$k2r$H$7$F$O(B, $B:GBg$N(B
$B8GM-CM&K$KBP$9$k8GM-%Y%/%H%k(B u ((u, u) = 1) $B$r<h$k$3$H(B
$B$K$J$j$^$9(B.
$B?t3XE*$K$O$3$&$$$&$3$H$G$9$,(B, $B<B:]$K$O$3$N$h$&$J$b$N$r(B
$B5a$a$k%Q%C%1!<%8$O$I$3$K$G$bE>$,$C$F$$$kH&$G$9$+$i(B, $B$*(B
$BC5$7$K$J$C$F8+$i$l$l$PNI$$$G$7$g$&(B.
--
$BDMK\@i=)(B@$B1~MQ?t3X(B.$B9bJ,;R3X2J(B.$BA!0]3XIt(B.$B5~ET9)7]A!0]Bg3X(B
Tsukamoto, C. : ***@kit.ac.jp