A Numerical Embedding Method for Solving the Nonlinear Complementarity Problem(I) — Theory

A Numerical Embedding Method for Solving the Nonlinear Complementarity Problem(I) — Theory

Year:    2002

Author:    Jian-Jun Zhang, De-Ren Wang

Journal of Computational Mathematics, Vol. 20 (2002), Iss. 3 : pp. 257–266

Abstract

In this paper, we extend the numerical embedding method for solving the smooth equations to the nonlinear complementarity problem. By using the nonsmooth theory, we prove the existence and the continuation of the following path for the corresponding homotopy equations. Therefore the basic theory of the numerical embedding method for solving the nonlinear complementarity problem is established. In part II of this paper, we will further study the implementation of the method and give some numerical examples.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2002-JCM-8915

Journal of Computational Mathematics, Vol. 20 (2002), Iss. 3 : pp. 257–266

Published online:    2002-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    B-differentiable equations Nonlinear complementarity problem Numerical embedding method.

Author Details

Jian-Jun Zhang

De-Ren Wang