# ApCoCoA-1:Latte.Minimize

From ApCoCoAWiki

## Latte.Minimize

Minimizes the objective function over a polyhedral P given by a number of linear constraints

### Syntax

Latte.Minimize(Equations: LIST, LesserEq: LIST, GreaterEq: LIST, ObjectiveF: POLY):INT

### 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.

@param

*Equations*: A list of linear polynomials, which are equivalent to the equality-part of the polyhedral constraints@param

*LesserEq*: A list of linear polynomials, which are equivalent to the lower or equal-part of the polyhedral constraints@param

*GreaterEq*: A list of linear polynomials, which are equivalent to the greater or equal-part of the polyhedral constraints@param

*ObjectiveF*: A linear Polynomial@return The optimal value of the objective function

#### Example

Use S ::= QQ[x,y]; Equations := []; LesserEq := [x-1, x+y-1]; GreaterEq := [x,y]; ObjectiveF := x + z; Latte.Minimize(Equations, LesserEq, GreaterEq, ObjectiveF);