Dakota Reference Manual  Version 6.4
Large-Scale Engineering Optimization and Uncertainty Analysis
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nonlinear_inequality_constraints


Group to specify nonlinear inequality constraints

Specification

Alias: num_nonlinear_inequality_constraints

Argument(s): INTEGER

Default: 0

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

Choose how each constraint is scaled

Optional scales

Characteristic values for scaling

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

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

The defaults for the inequality constraint bounds are selected so that one-sided inequalities of the form

\[g(x) \leq 0.0\]

result when there are no user constraint bounds specifications (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 linear inequality bounds and for nonexistent design variable bounds.

The scale_types and scales keywords are related to scaling of $ g \left( x \right) $. See method-scaling for details.