Nonlinear complementarity problem: Difference between revisions

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In applied mathematics, a '''nonlinear complementarity problem (NCP)''' with respect to a mapping ''ƒ'' : '''R'''^''n'' → '''R'''^''n'', denoted by NCP''ƒ'', is to find a vector ''x'' ∈ '''R'''^''n'' such that

: <math>x \geq 0,\ f(x) \geq 0 </math>\text{ and <math>} x^{T}f(x)=0 \,</math>

where ''&fnof;''(''x'') is a smooth mapping.