File: orth.man

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.TH orth 1 "April 1993" "Scilab Group" "Scilab Function"
.so ../sci.an
.SH NAME
orth - orthogonal basis
.SH CALLING SEQUENCE
.nf
Q=orth(A)
.fi
.SH PARAMETERS
.TP
A
: real or complex matrix
.TP
Q
: real or complex matrix
.SH DESCRIPTION
.Vb Q=orth(A)
returns \fVQ\fR, an orthogonal basis for the span of \fVA\fR.
Range(\fVQ\fR) = Range(\fVA\fR) and \fVQ'*Q=eye\fR.
.LP
The number of columns of \fVQ\fR is the rank of \fVA\fR as determined
by the QR algorithm.
.SH EXAMPLE
.nf
A=rand(5,3)*rand(3,4);
[X,dim]=rowcomp(A);X=X';
svd([orth(A),X(:,1:dim)])
.fi
.SH SEE ALSO
qr, rowcomp, colcomp, range