In applied mathematics, a nonlinear complementarity problem (NCP) with respect to a mapping ƒ : Rn → Rn, denoted by NCPƒ, is to find a vector x ∈ Rn such that
\( {\displaystyle x\geq 0,\ f(x)\geq 0{\text{ and }}x^{T}f(x)=0} \)
where ƒ(x) is a smooth mapping.
References
Stephen C. Billups (2008). "A new homotopy method for solving non-linear complementarity problems".
Cottle, Richard W.; Pang, Jong-Shi; Stone, Richard E. (1992). The linear complementarity problem. Computer Science and Scientific Computing. Boston, MA: Academic Press, Inc. pp. xxiv+762 pp. ISBN 0-12-192350-9. MR 1150683.
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
Hellenica World - Scientific Library
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