nonlinear_inequality_constraints

Group to specify nonlinear inequality constraints

Topics

nonlinear_constraints

Specification

• Alias: num_nonlinear_inequality_constraints

• Arguments: INTEGER

• Default: 0

Child Keywords:

Required/Optional	Description of Group	Dakota Keyword	Dakota Keyword Description
Optional		lower_bounds	Specify minimum values
Optional		upper_bounds	Specify maximium values
Optional		scale_types	How to scale each nonlinear constraint
Optional		scales	Characteristic values to scale each nonlinear constraint

Description

Specifies the number of nonlinear inequality constraint functions returned by the interface.

The lower_bounds and upper_bounds specifications provide the lower and upper bounds for 2-sided nonlinear inequalities of the form

\[g_l \leq g(x) \leq g_u\]

When constraint bounds are not specified, the problem is assumed to have one-sided inequalities bounded above by zero:

\[g(x) \leq 0.0.\]

This provides backwards compatibility with previous Dakota versions.

In a user bounds specification, any upper bound values greater than ``+bigRealBoundSize (1.e+30, as defined in Minimizer) are treated as +infinity and any lower bound values less than ``-bigRealBoundSize are treated as -infinity. This feature is commonly used to drop one of the bounds in order to specify a 1-sided constraint (just as the default lower bounds drop out since -DBL_MAX <

-bigRealBoundSize). The same approach is used for nonexistent linearinequality bounds and for nonexistent design variable bounds.

The scale_types and scales keywords are related to scaling of \(g \left( x \right)\) . See the scaling information under specific methods, e.g., method-*-scaling for details on how to use this keyword.