Difference between revisions of "ApCoCoA-1:Num.LeastSquaresQR"
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<type>apcocoaserver</type> | <type>apcocoaserver</type> | ||
+ | <type>matrix</type> | ||
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<key>Num.LeastSquaresQR</key> | <key>Num.LeastSquaresQR</key> | ||
<key>LeastSquaresQR</key> | <key>LeastSquaresQR</key> | ||
+ | <key>numerical.leastsquaresqr</key> | ||
<wiki-category>Package_numerical</wiki-category> | <wiki-category>Package_numerical</wiki-category> | ||
</command> | </command> |
Revision as of 12:00, 24 April 2009
Num.LeastSquaresQR
Calculates the least squares solution to the general problem Ax=b
Syntax
Num.LeastSquaresQR(Mat:MAT, Vec:MAT):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.
Calculates the least squares solution to the general problem Ax=b, when there is no exact solution. The matrix Mat must have the same number of rows as Vec.
The QR decomposition of Mat is used to find the solution.
@param Mat Matrix A
@param Vec Vector B in matrix form.
@return The least squares solution to Ax=b.
Example
Dec(Num.LeastSquaresQR([[1,1],[0,1],[1,1]],[[0],[1],[0]]),2); -- CoCoAServer: computing Cpu Time = 0 ------------------------------- Mat([ ["-0.99"], ["1"] ]) -------------------------------
See also