sylv

Arguments

A,B,C

three real matrices of appropriate dimensions.

flag

character string ('c' or 'd')

Description

X= sylv(A, B, C, 'c') computes X, solution of the "continuous time" Sylvester equation

A*X+X*B = C

X=sylv(A, B, C, 'd') computes X, solution of the "discrete time" Sylvester equation

A*X*B+X = C

Examples

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)

See Also

• lyap — Equation de Lyapunov