Difference between revisions of "ApCoCoA-1:Num.QR"
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<title>Num.QR</title> | <title>Num.QR</title> | ||
<short_description>Computes the QR-decomposition of a matrix.</short_description> | <short_description>Computes the QR-decomposition of a matrix.</short_description> | ||
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Mat([ | Mat([ | ||
| − | [ | + | ["0.999", "1.999", "2.999"], |
| − | [ | + | ["1.999", "2.999", "3.999"], |
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]) | ]) | ||
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| − | <see>Num.SVD</see> | + | <see>ApCoCoA-1:Num.SVD|Num.SVD</see> |
| − | <see>Num.EigenValues</see> | + | <see>ApCoCoA-1:Num.EigenValues|Num.EigenValues</see> |
| − | <see>Num.EigenValuesAndVectors</see> | + | <see>ApCoCoA-1:Num.EigenValuesAndVectors|Num.EigenValuesAndVectors</see> |
| − | <see>Num.EigenValuesAndAllVectors</see> | + | <see>ApCoCoA-1:Num.EigenValuesAndAllVectors|Num.EigenValuesAndAllVectors</see> |
</seealso> | </seealso> | ||
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Latest revision as of 13:48, 29 October 2020
| This article is about a function from ApCoCoA-1. |
Num.QR
Computes the QR-decomposition of a matrix.
Syntax
Num.QR(A:MAT):[Q:MAT,R:MAT]
Description
Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.
This command computes the QR-decomposition of a matrix using the external library Lapack, i.e. the matrix A will be decomposed into the product of an orthogonal matrix Q and an upper-right triangular matrix R.
@param A The matrix to decompose.
@return An orthogonal matrix Q and an upper-right triangular matrix R such that Q*R=A.
Example
Points:=Mat([[1,2,3],[2,3,4],[3,4,5]]); QR := Num.QR(Points); Dec(QR[1]*QR[2],3); -- CoCoAServer: computing Cpu Time = 0 ------------------------------- Mat([ ["0.999", "1.999", "2.999"], ["1.999", "2.999", "3.999"], ["2.999", "3.999", "4.999"] ]) -------------------------------
See also
