A.3 3$B=EBP3Q9TNs$N8GM-B?9`<0$H(B Strum $BNs(B

$$T=\left( \begin{array}{ccccc} a_1 & b_1 & 0 & & \bigzerou... ...{N-1} \\ \bigzerol & & 0 & b_{N-1} & a_N \end{array} \right)$$

$B$rN;0=EBP3Q9TNs$H$9$k!#(B

$B0J2<(B $b_k\ne 0$ ( $k=1,2,\cdots,N-1$) $B$H2>Dj$9$k!#(B $B$b$7$"$k(B $k$ $B$KBP$7$F(B $b_k=0$ $B$J$i$P(B

$$T = \left(\begin{array}{cc}T' & O \\ O & T''\end{array}\right)$$

$B$H%V%m%C%/J,$1$G$-!"(B$T'$, $T''$ $B$N8GM-CM$r5a$a$kLdBj$K5"Ce$G$-$k$+$i!"(B $B0lHL@-$O<:$o$l$J$$!#(B

$p_k(\lambda)$ $B$r(B $\lambda I-T$ $B$NBh(B $k$ $B $k=0,1,\cdots,N$)$B!#$9$J$o$A(B

$$p_k(\lambda)\DefEq \left\{ \begin{array}{ll} \det(\lambd... ...=1,2,\cdots,N$)}\\ 1 &\mbox{($k=0$)} \end{array} \right. .$$ (A.4)

$B$?$@$7!"(B

$$I_k=\mbox{$k$\ $B<!$NC10L9TNs(B},\quad T_k=\left( \begin{arra... ...k-1} \\ \bigzerol & & 0 & b_{k-1} & a_k \end{array} \right).$$

$B$9$0J,$+$kL?Bj$rFs$D!#(B