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Scilabヘルプ >> Linear Algebra > Matrix Pencil > sylv

sylv

シルベスタ方程式.

呼び出し手順

sylv(A, B, C, flag)

引数

A,B,C

適当な次元の実数行列.

flag

文字列 ('c' または 'd')

説明

X= sylv(A,B,C,'c') は以下の "連続時間" シルベスタ方程式の解Xを計算します,

A*X+X*B=C

X=sylv(A,B,C,'d') は以下の "離散時間" シルベスタ方程式の解Xを計算します,

A*X*B-X=C

A = rand(4, 4); C = rand(4, 3); B = rand(3, 3);
X = sylv(A, B, C, 'c');
norm(A*X+X*B-C)
X = sylv(A, B, C, 'd');
norm(A*X*B-X-C)

参考

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Last updated:
Wed Apr 01 10:25:00 CEST 2015