# Passive constraint

inactive constraint

Let be given a constrained optimization problem

maximize $f(x)$, $x\in\mathbf R^n$

subject to $g_i(x)\leq0$, $i=1,\ldots,m$.

The $i$th constraint is said to be passive (at a solution $y$) if $g_i(y)<0$.

See also Active constraint. For a selection of references, see Mathematical programming.

How to Cite This Entry:
Passive constraint. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Passive_constraint&oldid=33651
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article