Difference between revisions of "ApCoCoA-1:Num.ProjectAVI"
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Calculates the least squares solution to the general problem Ax=b, when there is no exact solution. The solution x is interpreted as the coefficients of the terms in the order ideal. | Calculates the least squares solution to the general problem Ax=b, when there is no exact solution. The solution x is interpreted as the coefficients of the terms in the order ideal. | ||
| + | |||
| + | <itemize> | ||
| + | <item>@param <em>Mat</em> Matrix A</item> | ||
| + | <item>@param <em>Vec</em> Vector B in matrix form.</item> | ||
| + | <item>@param <em>OI</em> Order Ideal</item> | ||
| + | <item>@return The least squares soltion to Ax=b interpreted as coefficients of OI.</item> | ||
| + | </itemize> | ||
| + | |||
<example> | <example> | ||
Revision as of 16:34, 22 April 2009
Numerical.ProjectAVI
Calculates the least squares solution to the general problem Ax=b, where x are coefficients of an order ideal
Syntax
Num.ProjectAVI(Mat:Matrix, Vec:Matrix, OI:PolyList):Poly;
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 solution x is interpreted as the coefficients of the terms in the order ideal.
@param Mat Matrix A
@param Vec Vector B in matrix form.
@param OI Order Ideal
@return The least squares soltion to Ax=b interpreted as coefficients of OI.
Example
Dec(Num.ProjectAVI([[1,1],[0,1],[1,1]],[[0],[1],[0]],[x,y]),2); -- CoCoAServer: computing Cpu Time = 0 ------------------------------- ["-0.99 x +1 y "] -------------------------------
See also
