Numerical results for a globalized active-set Newton method for mixed complementarity problems
AUTOR(ES)
Daryina, A.N., Izmailov, A.F., Solodov, M.V.
FONTE
Computational & Applied Mathematics
DATA DE PUBLICAÇÃO
2005-08
RESUMO
We discuss a globalization scheme for a class of active-set Newton methods for solving the mixed complementarity problem (MCP), which was proposed by the authors in [3]. The attractive features of the local phase of the method are that it requires solving only one system of linear equations per iteration, yet the local superlinear convergence is guaranteed under extremely mild assumptions, in particular weaker than the property of semistability of an MCP solution. Thus the local superlinear convergence conditions of the method are weaker than conditions required for the semismooth (generalized) Newton methods and also weaker than convergence conditions of the linearization (Josephy-Newton) method. Numerical experiments on some test problems are presented, including results on the MCPLIB collection for the globalized version.
Documentos Relacionados
- Active-set strategy in Powell's method for optimization without derivatives
- Global convergence of a regularized factorized quasi-Newton method for nonlinear least squares problems
- A mathematical method for solving mixed problems in multislab radiative transfer
- A chebyshev collocation spectral method for numerical simulation of incompressible flow problems
- Efficient numerical method for solution of boundary value problems with additional conditions