FICO Xpress Optimization

Xpress NonLinear examples

Examples of using the Nonlinear library

Maximizing the area of a polygon using tokens based input: Using token lists to express nonlinear formulas


Type:	Programming
Rating:	4 (medium-difficult)
Description:	Demonstrates the use of formula tokens
File(s):	Polygon_tokens.c

Maximizing the area of a polygon using string based input: Using string based formulas to express nonlinear formulas


Type:	Programming
Rating:	3 (intermediate)
Description:	Demonstrates the use of formula strings
File(s):	Polygon_textformula.c

Providing initial values: Providing initial values to nonlinear variables


Type:	Programming
Rating:	3 (intermediate)
Description:	Demonstrates how to add initial values to nonlinear variables
File(s):	Polygon_initialvalue.c

Implementing user functions returning their own derivatives: Implementing complex user functions returning their own derivatives


Type:	Programming
Rating:	4 (medium-difficult)
Description:	Demonstrates how black box functions that ara capable to calculate their own partial derivatives may be optimized using Xpress NonLinear
File(s):	ComplexUserFunctions.c

Implementing the polygon examples as a black box function: Implementing user functions


Type:	Programming
Rating:	4 (medium-difficult)
Description:	Demonstrates how black box functions may be optimized using Xpress NonLinear, using tokeanised input
File(s):	Polygon_userfunc.c

Maximizing the area of a polygon using tokens based input - using a 'map' userfunction: Using strings to express nonlinear formulas, including a 'map' userfunction


Type:	Programming
Rating:	3 (intermediate)
Description:	Demonstrates how to solve a nonlinear problem in C
File(s):	Polygon_userfunc_map.c

Maximizing the area of a polygon using tokens based input - using a 'vecmap' userfunction: Using strings to express nonlinear formulas, including a 'vecmap' userfunction


Type:	Programming
Rating:	3 (intermediate)
Description:	Demonstrates how to solve a nonlinear problem in C
File(s):	Polygon_userfunc_vecmap.c

Maximizing the area of a polygon using tokens based input - using a 'multimap' userfunction: Using strings to express nonlinear formulas, including a 'multimap' userfunction


Type:	Programming
Rating:	3 (intermediate)
Description:	Demonstrates how to solve a nonlinear problem in C
File(s):	Polygon_userfunc_multimap.c

Maximizing the area of a polygon using tokens based input - using a 'mapdelta' userfunction: Using strings to express nonlinear formulas, including a 'mapdelta' userfunction


Type:	Programming
Rating:	3 (intermediate)
Description:	Demonstrates how to solve a nonlinear problem in C
File(s):	Polygon_userfunc_mapdelta.c

Maximizing the area of a polygon using tokens based input - using a 'vecmapdelta' userfunction: Using strings to express nonlinear formulas, including a 'vecmapdelta' userfunction


Type:	Programming
Rating:	3 (intermediate)
Description:	Demonstrates how to solve a nonlinear problem in C
File(s):	Polygon_userfunc_vecmapdelta.c

Maximizing the area of a polygon using tokens based input - using a 'multimapdelta' userfunction: Using strings to express nonlinear formulas, including a 'multimapdelta' userfunction


Type:	Programming
Rating:	3 (intermediate)
Description:	Demonstrates how to solve a nonlinear problem in C
File(s):	Polygon_userfunc_multimapdelta.c

Xpress NonLinear reference manual examples

Effects of convexity: Convexity


Type:	Programming
Rating:	2 (easy-medium)
Description:	Nonlinear example demonstrating the effects of convexity
File(s):	xnlp_convexity.mos

Partial derivatives: Numerical differentiaton


Type:	Programming
Rating:	2 (easy-medium)
Description:	Nonlinear example demonstrating the cost of numerical derivatives
File(s):	xnlp_derivatives.mos

Local solutions: Local optimality


Type:	Programming
Rating:	2 (easy-medium)
Description:	Nonlinear example demonstrating the presence of locally optimal solutions, and the role of initial points
File(s):	xnlp_local_optima.mos

Dual multipliers: Dual multipliers


Type:	Programming
Rating:	2 (easy-medium)
Description:	Nonlinear example for dual multipliers for non-linear problems
File(s):	xnlp_nlp_duals.mos

Non-connected feasible region: Non-connected feasible regions


Type:	Programming
Rating:	2 (easy-medium)
Description:	Nonlinear example demonstrating non-connected feasible regions and initial points
File(s):	xnlp_nonconnected.mos

Feasiblity breakers \ penalty error vectors: Feasiblity breakers


Type:	Programming
Rating:	2 (easy-medium)
Description:	Nonlinear example demonstrating the need for penalty feasiblity breakers
File(s):	xnlp_penalty_breakers.mos

Error costs and penalty multipliers: Penalty multipliers


Type:	Programming
Rating:	2 (easy-medium)
Description:	Nonlinear example demonstrating the role of setting the value of penalty multipliers
File(s):	xnlp_penalty_multipliers.mos

Solution support sets: Support sets


Type:	Programming
Rating:	2 (easy-medium)
Description:	Nonlinear example demonstrating the type of solutions returned by solvers
File(s):	xnlp_supportset.mos

Step bounding: Step bounding


Type:	Programming
Rating:	2 (easy-medium)
Description:	Nonlinear example demonstrating behaviour of problems with unbounded first order approximations
File(s):	xnlp_unboundedlinearization.mos

Zero placeholders: Zero placeholders


Type:	Programming
Rating:	2 (easy-medium)
Description:	Nonlinear example demonstrating local optimality and the role of placeholders
File(s):	xnlp_zero_placeholder.mos

Calling the library from C#

Maximizing the area of a polygon: Using strings to express nonlinear formulas


Type:	Programming
Rating:	3 (intermediate)
Description:	Demonstrates how to solve a nonlinear problem in C#
File(s):	Polygon.cs, Polygon.csproj

Maximizing the area of a polygon using a 'map' userfunction: Using strings to express nonlinear formulas, including a 'map' userfunction


Type:	Programming
Rating:	3 (intermediate)
Description:	Demonstrates how to solve a nonlinear problem in C#
File(s):	PolygonMap.cs, PolygonMap.csproj

Maximizing the area of a polygon using a 'vecmap' userfunction: Using strings to express nonlinear formulas, including a 'vecmap' userfunction


Type:	Programming
Rating:	3 (intermediate)
Description:	Demonstrates how to solve a nonlinear problem in C#
File(s):	PolygonVecMap.cs, PolygonVecMap.csproj

Maximizing the area of a polygon using a 'vecmapdelta' userfunction: Using strings to express nonlinear formulas, including a 'vecmapdelta' userfunction


Type:	Programming
Rating:	3 (intermediate)
Description:	Demonstrates how to solve a nonlinear problem in C#
File(s):	PolygonVecMapDelta.cs, PolygonVecMapDelta.csproj

Maximizing the area of a polygon using a 'mapdelta' userfunction: Using strings to express nonlinear formulas, including a 'mapdelta' userfunction


Type:	Programming
Rating:	3 (intermediate)
Description:	Demonstrates how to solve a nonlinear problem in C#
File(s):	PolygonMapDelta.cs, PolygonMapDelta.csproj

Maximizing the area of a polygon using a 'multimap' userfunction: Using strings to express nonlinear formulas, including a 'multimap' userfunction


Type:	Programming
Rating:	3 (intermediate)
Description:	Demonstrates how to solve a nonlinear problem in C#
File(s):	PolygonMultiMap.cs, PolygonMultiMap.csproj

Maximizing the area of a polygon using a 'multimapdelta' userfunction: Using strings to express nonlinear formulas, including a 'multimapdelta' userfunction


Type:	Programming
Rating:	3 (intermediate)
Description:	Demonstrates how to solve a nonlinear problem in C#
File(s):	PolygonMultiMapDelta.cs, PolygonMultiMapDelta.csproj

Calling the library from Java