ApCoCoA-1:Num.ProjectAVI

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Num.ProjectAVI

Calculates the least squares solution to the general problem Ax=b, where x are coefficients of an order ideal

Syntax

Num.ProjectAVI(Mat:MAT, Vec:MAT, OI:LIST):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.

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

Introduction to CoCoAServer