linear_inequality_lower_bounds
Define lower bounds for the linear inequality constraint
Topics
linear_constraints
Specification
Alias: None
Arguments: REALLIST
Default: vector values = -infinity
Description
In the inequality case, the lower \(a_l\) and upper \(a_u\) bounds provide constraint limits for the two-sided formulation:
Where \(A\) is the constrain matrix of variable coefficients.
As with nonlinear inequality constraints (see responses-objective_functions), the default linear inequality constraint bounds are selected so that one-sided inequalities of the form
result when there are no user 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
).
Examples
Examples of specifying linear inequality constraints to Dakota are provided on the variables-linear_inequality_constraint_matrix page.