PATH Solver

Several new interfaces have recently been developed requiring PATH to solve a mixed complementarity problem. To overcome the necessity of maintaining a different version of PATH for each interface, the code was recognized using object-oriented design techniques. At the same time, robustness issues were considered and enhancement made to the algorithm. In this paper, we document the external interfaces to the PATH code and describe some of the new utilities using PATH. We then discuss the enhancements made and compare the results obtained from PATH 2.9 the new version.


References in zbMATH (referenced in 181 articles , 2 standard articles )

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  1. Chen, X.; Qi, L.; Sun, D.: Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities (1998)
  2. Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian: Regularity properties of a semismooth reformulation of variational inequalities (1998)
  3. Gabriel, Steven A.: A hybrid smoothing method for mixed nonlinear complementarity problems (1998)
  4. Gürkan, Gül; Özge, A. Yonca; Robinson, Stephen M.: Sample-path solutions for simulation optimization problems and stochastic variational inequalities (1998)
  5. Jiang, Houyuan; Fukushima, Masao; Qi, Liqun; Sun, Defeng: A trust region method for solving generalized complementarity problems (1998)
  6. Kanzow, Christian; Fukushima, Masao: Solving box constrained variational inequalities by using the natural residual with D-gap function globalization (1998)
  7. Kanzow, Christian; Jiang, Houyuan: A continuation method for (strongly) monotone variational inequalities (1998)
  8. Kanzow, Christian; Kleinmichel, Helmut: A new class of semismooth Newton-type methods for nonlinear complementarity problems (1998)
  9. Andersen, Erling D.; Ye, Yinyu: On a homogeneous algorithm for a monotone complementarity problem with nonlinear equality constraints (1997)
  10. Billups, Stephen C.; Ferris, Michael C.: QPCOMP: A quadratic programming based solver for mixed complementarity problems (1997)
  11. Drud, Arne Stolbjerg: Interactions between nonlinear programming and modeling systems (1997)
  12. Ferris, M. C.; Pang, J. S.: Engineering and economic applications of complementarity problems (1997)
  13. Fischer, Andreas: Solution of monotone complementarity problems with locally Lipschitzian functions (1997)
  14. Sellami, Hichem; Robinson, Stephen M.: Implementation of a continuation method for normal maps (1997)
  15. Simantiraki, Evangelia M.; Shanno, David F.: An infeasible-interior-point algorithm for solving mixed complementarity problems (1997)
  16. Chen, Chunhui; Mangasarian, O. L.: A class of smoothing functions for nonlinear and mixed complementarity problems (1996)
  17. de Luca, Tecla; Facchinei, Francisco; Kanzow, Christian: A semismooth equation approach to the solution of nonlinear complementarity problems (1996)
  18. Ferris, M. C.; Lucidi, S.; Roma, M.: Nonmonotone curvilinear line search methods for unconstrained optimization (1996)
  19. Fischer, Andreas; Kanzow, Christian: On finite termination of an iterative method for linear complementarity problems (1996)
  20. Chen, Chunhui; Mangasarian, O. L.: Smoothing methods for convex inequalities and linear complementarity problems (1995)

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