ApCoCoA-1:Num.QR: Difference between revisions
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<command> | <command> | ||
<title>Numerical. | <title>Numerical.QR</title> | ||
<short_description>QR-decomposition of a matrix</short_description> | <short_description>QR-decomposition of a matrix</short_description> | ||
<syntax> | <syntax> | ||
$numerical. | $numerical.QR(A:Matrix):Matrix; | ||
</syntax> | </syntax> | ||
<description> | <description> | ||
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<example> | <example> | ||
Points:=Mat([[1,2,3],[2,3,4],[3,4,5]]); | Points:=Mat([[1,2,3],[2,3,4],[3,4,5]]); | ||
$numerical. | $numerical.QR(Points); | ||
------------------------------- | ------------------------------- | ||
Mat([ | Mat([ | ||
Revision as of 14:14, 11 October 2007
Numerical.QR
QR-decomposition of a matrix
Syntax
$numerical.QR(A:Matrix):Matrix;
Description
This function returns a matrix, containing the IMPI. The matrix consists
of the upper-right triangular matrix and the lower left triangular matrix,
describing the input matrix's QR-decomposition.
Example
Points:=Mat([[1,2,3],[2,3,4],[3,4,5]]); $numerical.QR(Points); ------------------------------- Mat([ [-8425463406411593/2251799813685248, 7598355191047809/18014398509481984, 5698766393285857/9007199254740992], [-1504547036859213/281474976710656, 737074506864293/1125899906842624, 7744099468837749/9007199254740992], [-7823644591667907/1125899906842624, 5896596054914343/4503599627370496, -809/4611686018427387904] ]) -------------------------------
See also
Numerical.EigenValuesAndVectors
Numerical.EigenValuesAndAllVectors
