ApCoCoA-1:Num.ProjectAVI

This article is about a function from ApCoCoA-1.

Num.ProjectAVI

Computes the least squares solution of 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.

This command computes the least squares solution of the general problem Ax=b, if there is no exact solution. The solution x has to be interpreted as the coefficients of the terms in the order ideal.

• @param Mat Matrix A

• @param Vec Vector B as a matrix.

• @param OI Order Ideal

• @return The least squares solution of 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