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  • Committer: Bazaar Package Importer
  • Author(s): Torsten Werner
  • Date: 2002-03-21 16:57:43 UTC
  • Revision ID: james.westby@ubuntu.com-20020321165743-e9mv12c1tb1plztg
Tags: upstream-2.6
Import upstream version 2.6

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