# Difference between revisions of "ApCoCoA-1:Num.ProjectAVI"

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

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− | + | <em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoAServer</em>. You will have to start the ApCoCoAServer in order to use it/them. | |

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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. | ||

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## Revision as of 16:47, 23 April 2009

## 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