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Scilab help >> CACSD > equil1

equil1

行列の平衡 (非負定) の組

呼び出し手順

[T [,siz]]=equil1(P,Q [,tol])

パラメータ

P, Q

非負定の対称行列

T

正則行列

siz

3要素の整数ベクトル

tol

閾値

説明

equil1 は次のような t を計算します:

P1=T*P*T' および Q1=inv(T)'*Q*inv(T) は以下のようになります:

P1 = diag(S1,S2,0,0) および Q1 = diag(S1,0,S3,0) ただし, S1,S2,S3 は各次元がsiz=[n1,n2,n3]の正定対角行列です.

tol はSVDのランク定義の閾値です.

S1=rand(2,2);S1=S1*S1';
S2=rand(2,2);S2=S2*S2';
S3=rand(2,2);S3=S3*S3';
P=sysdiag(S1,S2,zeros(4,4));
Q=sysdiag(S1,zeros(2,2),S3,zeros(2,2));
X=rand(8,8);
P=X*P*X';Q=inv(X)'*Q*inv(X);
[T,siz]=equil1(P,Q);
P1=clean(T*P*T')
Q1=clean(inv(T)'*Q*inv(T))

参照

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Last updated:
Mon Oct 01 17:40:27 CEST 2012