File: sylv.man

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.TH sylv G "April 1993" "Scilab Group" "Scilab Function"
.so ../sci.an 
.SH NAME
sylv - Sylvester equation.
.SH CALLING SEQUENCE
.nf
sylv(A,B,C,flag)
.fi
.SH PARAMETERS
.TP 12
A,B,C
: three real matrices of appropriate dimensions.
.TP
flag
character string (\fV'c'\fR or \fV'd'\fR)
.SH DESCRIPTION
.Vb X = sylv(A,B,C,'c')
computes \fVX\fR, solution of the "continuous time" Sylvester equation
.nf
A*X+X*B=C 
.fi
.Vb X=sylv(A,B,C,'d') 
computes \fVX\fR, solution of the "discrete time" Sylvester equation
.nf
A*X*B-X=C
.fi
.SH EXAMPLE
.nf
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)
.fi
.SH SEE ALSO
lyap