Difference between revisions of "ApCoCoA-1:Num.LeastSquaresQR"
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<short_description>Computes the least squares solution of the linear system of equations <tt>Ax=b</tt>.</short_description> | <short_description>Computes the least squares solution of the linear system of equations <tt>Ax=b</tt>.</short_description> | ||
<syntax> | <syntax> | ||
| − | Num.LeastSquaresQR(Mat:MAT, Vec:MAT): | + | Num.LeastSquaresQR(Mat:MAT, Vec:MAT):LIST |
</syntax> | </syntax> | ||
<description> | <description> | ||
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-- CoCoAServer: computing Cpu Time = 0 | -- CoCoAServer: computing Cpu Time = 0 | ||
------------------------------- | ------------------------------- | ||
| − | + | [<quotes>-0.99</quotes>, <quotes>1</quotes>] | |
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------------------------------- | ------------------------------- | ||
</example> | </example> | ||
Revision as of 15:23, 28 February 2011
Num.LeastSquaresQR
Computes the least squares solution of the linear system of equations Ax=b.
Syntax
Num.LeastSquaresQR(Mat:MAT, Vec:MAT):LIST
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 least squares solution of the linear system of equations Ax=b, if 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 of the linear system of equations.
@param Vec Vector B as a matrix.
@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 ------------------------------- [<quotes>-0.99</quotes>, <quotes>1</quotes>] -------------------------------
See also
