Difference between revisions of "ApCoCoA-1:Num.LeastSquaresQR"
From ApCoCoAWiki
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<command> | <command> | ||
<title>Num.LeastSquaresQR</title> | <title>Num.LeastSquaresQR</title> | ||
− | <short_description>Calculates the least squares solution to the general problem Ax=b</short_description> | + | <short_description>Calculates the least squares solution to the general problem Ax=b.</short_description> |
<syntax> | <syntax> | ||
− | Num.LeastSquaresQR(Mat:MAT, Vec:MAT):MAT | + | Num.LeastSquaresQR(Mat:MAT, Vec:MAT):MAT |
</syntax> | </syntax> | ||
<description> | <description> |
Revision as of 14:23, 28 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([ [<quotes>-0.99</quotes>], [<quotes>1</quotes>] ]) -------------------------------
See also