Lie point symmetry: Difference between revisions
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In applied mathematics, a '''nonlinear complementarity problem (NCP)''' with respect to a mapping ''ƒ'' : '''R'''<sup>''n''</sup> → '''R'''<sup>''n''</sup>, denoted by NCP''ƒ'', is to find a vector ''x'' ∈ '''R'''<sup>''n''</sup> such that | |||
: <math>x \geq 0,\ f(x) \geq 0 \text{ and } x^{T}f(x)=0 \,</math> | |||
where ''ƒ''(''x'') is a smooth mapping. | |||
== References == | |||
* {{cite paper|author=Stephen C. Billups|title=A new homotopy method for solving non-linear complementarity problems|date=2008| | |||
url=http://www.informaworld.com/smpp/content~db=all~content=a905306577|accessdate=2010-03-13}} | |||
* {{cite book|last1=Cottle|first1=Richard W.|last2=Pang|first2=Jong-Shi|last3=Stone|first3=Richard E.|title=The linear complementarity problem | series=Computer Science and Scientific Computing|publisher=Academic Press, Inc.|location=Boston, MA|year=1992|pages=xxiv+762 pp.|isbn=0-12-192350-9}} {{MR|1150683}} | |||
{{Mathematical programming}} | |||
[[Category:Mathematical optimization]] | |||
Revision as of 17:08, 24 January 2014
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
where ƒ(x) is a smooth mapping.
References
- Template:Cite paper
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