# ApCoCoA-1:Num.ProjectAVI

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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