Difference between revisions of "ApCoCoA-1:Num.LeastSquaresQR"
From ApCoCoAWiki
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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. | 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 decompostion of Mat is used to find the solution. | The QR decompostion of Mat is used to find the solution. | ||
| + | |||
| + | <itemize> | ||
| + | <item>@param <em>Mat</em> Matrix A</item> | ||
| + | <item>@param <em>Vec</em> Vector B in matrix form.</item> | ||
| + | <item>@return The least squares soltion to Ax=b.</item> | ||
| + | </itemize> | ||
<example> | <example> | ||
Revision as of 16:35, 22 April 2009
Numerical.LeastSquaresQR
Calculates the least squares solution to the general problem Ax=b
Syntax
Num.LeastSquaresQR(Mat:Matrix, Vec:Matrix):Matrix;
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. Please also note that you will have to use an ApCoCoAServer with enabled BLAS/LAPACK support.
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 decompostion of Mat is used to find the solution.
@param Mat Matrix A
@param Vec Vector B in matrix form.
@return The least squares soltion 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
