Difference between revisions of "ApCoCoA-1:Latte.Minimize"
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<command> | <command> | ||
<title>Latte.Minimize</title> | <title>Latte.Minimize</title> | ||
| − | <short_description>Minimizes the objective function over a polyhedral P given by a number of linear constraints</short_description> | + | <short_description>Minimizes the objective function over a polyhedral P given by a number of linear constraints.</short_description> |
<syntax> | <syntax> | ||
| − | Latte.Minimize(Equations: LIST, LesserEq: LIST, GreaterEq: LIST, ObjectiveF: POLY): | + | Latte.Minimize(Equations: LIST, LesserEq: LIST, GreaterEq: LIST, ObjectiveF: POLY):LIST |
</syntax> | </syntax> | ||
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<item>@param <em>LesserEq</em>: A list of linear polynomials, which are equivalent to the lower or equal-part of the polyhedral constraints</item> | <item>@param <em>LesserEq</em>: A list of linear polynomials, which are equivalent to the lower or equal-part of the polyhedral constraints</item> | ||
<item>@param <em>GreaterEq</em>: A list of linear polynomials, which are equivalent to the greater or equal-part of the polyhedral constraints</item> | <item>@param <em>GreaterEq</em>: A list of linear polynomials, which are equivalent to the greater or equal-part of the polyhedral constraints</item> | ||
| − | <item>@param <em>ObjectiveF</em>: A linear | + | <item>@param <em>ObjectiveF</em>: A linear polynomial</item> |
| − | <item>@return | + | <item>@return A list: <tt>[[Optimal coordinates], Optimal solution, [Coeffs of objective function]]</tt></item> |
</itemize> | </itemize> | ||
<example> | <example> | ||
| − | Use S ::= QQ[x,y | + | Use S ::= QQ[x,y]; |
Equations := []; | Equations := []; | ||
| − | LesserEq := [x- | + | LesserEq := [-x-2, x-y-24]; |
| − | GreaterEq := [x,y]; | + | GreaterEq := [-x,-y]; |
| − | ObjectiveF := x | + | ObjectiveF := x-2y; |
Latte.Minimize(Equations, LesserEq, GreaterEq, ObjectiveF); | Latte.Minimize(Equations, LesserEq, GreaterEq, ObjectiveF); | ||
| + | |||
| + | [[-2, 0], -2, [1, -2]] | ||
| + | ------------------------------- | ||
</example> | </example> | ||
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<key>Minimize</key> | <key>Minimize</key> | ||
<key>Latte.Minimize</key> | <key>Latte.Minimize</key> | ||
| − | <wiki-category>Package_latte</wiki-category> | + | <wiki-category>ApCoCoA-1:Package_latte</wiki-category> |
</command> | </command> | ||
Latest revision as of 10:10, 7 October 2020
| This article is about a function from ApCoCoA-1. |
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):LIST
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 A list: [[Optimal coordinates], Optimal solution, [Coeffs of objective function]]
Example
Use S ::= QQ[x,y]; Equations := []; LesserEq := [-x-2, x-y-24]; GreaterEq := [-x,-y]; ObjectiveF := x-2y; Latte.Minimize(Equations, LesserEq, GreaterEq, ObjectiveF); [[-2, 0], -2, [1, -2]] -------------------------------
