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. Munson, Todd S.; Facchinei, Francisco; Ferris, Michael C.; Fischer, Andreas; Kanzow, Christian: The semismooth algorithm for large scale complementarity problems (2001)
  2. Pinto da Costa, A.; Figueiredo, I. N.; Júdice, J. J.; Martins, J. A. C.: A complementarity eigenproblem in the stability analysis of finite dimensional elastic systems with frictional contact. (2001)
  3. Tin-Loi, F.; Que, N. S.: Parameter identification of quasibrittle materials as a mathematical program with equilibrium constraints (2001)
  4. Tin-Loi, F.; Xia, S. H.: Nonholonomic elastoplastic analysis involving unilateral frictionless contact as a mixed complementarity problem (2001)
  5. Ulbrich, Michael: Nonmonotone trust-region methods for bound-constrained semismooth equations with applications to nonlinear mixed complementarity problems (2001)
  6. Ferris, M. C.; Munson, T. S.; Ralph, D.: A homotopy method for mixed complementarity problems based on the PATH solver (2000)
  7. Ferris, Michael C.; Munson, Todd S.: Complementarity problems in GAMS and the PATH solver (2000)
  8. Ferris, Michael C.; Sinapiromsaran, Krung: Formulating and solving nonlinear programs as mixed complementarity problems (2000)
  9. Fischer, Andreas; Jiang, Houyuan: Merit functions for complementarity and related problems: a survey (2000)
  10. Kanzow, Christian: Global optimization techniques for mixed complementarity problems (2000)
  11. Qi, Hou-Duo; Liao, Li-Zhi: A smoothing Newton method for general nonlinear complementarity problems (2000)
  12. Chen, Xiaojun; Ye, Yinyu: On homotopy-smoothing methods for box-constrained variational inequalities (1999)
  13. Dirkse, Steven P.; Ferris, Michael C.: Modeling and solution environments for MPEC: GAMS (&) MATLAB (1999)
  14. Ferris, M. C.; Tin-Loi, F.: On the solution of a minimum weight elastoplastic problem involving displacement and complementarity constraints (1999)
  15. Ferris, Michael C.; Fourer, Robert; Gay, David M.: Expressing complementarity problems in an algebraic modeling language and communicating them to solvers (1999)
  16. Ferris, Michael C.; Kanzow, Christian; Munson, Todd S.: Feasible descent algorithms for mixed complementarity problems (1999)
  17. Ferris, Michael C.; Munson, Todd S.: Interfaces to PATH 3.0: Design, implementation and usage (1999)
  18. Ferris, Michael C.; Munson, Todd S.: Case studies in complementarity: Improving model formulation (1999)
  19. Jiang, Houyuan; Ralph, Daniel: Global and local superlinear convergence analysis of Newton-type methods for semismooth equations with smooth least squares (1999)
  20. Rutherford, Thomas F.: Applied general equilibrium modeling with MPSGE as a GAMS subsystem: An overview of the modeling framework and syntax (1999)

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