Man Scilab

sylv - Sylvester equation.

Calling Sequence

sylv(A,B,C,flag)

Parameters

• 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 ,  

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