Verification of Solutions for Almost Linear Complementarity Problems

نویسندگان

  • Götz Alefeld
  • Zhengyu Wang
چکیده

The paper establishes a computational enclosure of the solution of a nonlinear complementarity problem x ≥ 0, l(x) ≥ 0, x l(x) = 0, where l(x) = Mx+ Φ(x) is a so-called almost linear mapping with an H-matrix M with positive diagonal elements and an increasing diagonal mapping Φ. The procedure also delivers a simple proof for the uniqueness of the solution. Mathematics Subject Classification (2000): 90C33, 65G30, 65K10

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تاریخ انتشار 2005