Nonlinear complementarity problem: Difference between revisions

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In [[applied mathematics]], a '''nonlinear complementarity problem (NCP)''' with respect to a mapping ''&fnof;''&nbsp;:&nbsp;'''R'''<sup>''n''</sup>&nbsp;&rarr;&nbsp;'''R'''<sup>''n''</sup>, denoted by NCP''&fnof;'', is to find a vector ''x''&nbsp;&isin;&nbsp;'''R'''<sup>''n''</sup> such that
 
: <math>x \geq 0,\ f(x) \geq 0 \text{ and } x^{T}f(x)=0 \,</math>
 
where ''&fnof;''(''x'') is a smooth mapping.