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 182 articles , 2 standard articles )

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  1. Kannan, Aswin; Shanbhag, Uday V.: Distributed computation of equilibria in monotone Nash games via iterative regularization techniques (2012)
  2. Sagastizábal, Michael Martin C.: Divide to conquer: decomposition methods for energy optimization (2012)
  3. Tangaramvong, S.; Tin-Loi, F.; Song, Ch.: A direct complementarity approach for the elastoplastic analysis of plane stress and plane strain structures (2012)
  4. Adida, Elodie; Demiguel, Victor: Supply chain competition with multiple manufacturers and retailers (2011)
  5. Andreani, Roberto; Júdice, Joaquim J.; Martínez, José Mario; Patrício, Joao: A projected-gradient interior-point algorithm for complementarity problems (2011)
  6. Byrd, Richard H.; Waltz, Richard A.: An active-set algorithm for nonlinear programming using parametric linear programming (2011)
  7. Chen, Bilian; Ma, Changfeng: A new smoothing Broyden-like method for solving nonlinear complementarity problem with a (P_0)-function (2011)
  8. Drouet, Laurent; Haurie, Alain; Vial, Jean-Philippe; Vielle, Marc: A game of international climate policy solved by a homogeneous oracle-based method for variational inequalities (2011)
  9. Drumwright, Evan; Shell, Dylan A.: Modeling contact friction and joint friction in dynamic robotic simulation using the principle of maximum dissipation (2011)
  10. Nabetani, Koichi; Tseng, Paul; Fukushima, Masao: Parametrized variational inequality approaches to generalized Nash equilibrium problems with shared constraints (2011)
  11. Ritz, Elizabeth; Pollard, David D.: Closure of circular arc cracks under general loading: effects on stress intensity factors (2011)
  12. Shanbhag, Uday V.; Infanger, Gerd; Glynn, Peter W.: A complementarity framework for forward contracting under uncertainty (2011)
  13. Sivaselvan, M. V.: Complementarity framework for non linear dynamic analysis of skeletal structures with softening plastic hinges (2011)
  14. Tangaramvong, S.; Tin-Loi, F.: Mathematical programming approaches for the safety assessment of semirigid elastoplastic frames (2011)
  15. Acary, Vincent; Brogliato, Bernard: Implicit Euler numerical scheme and chattering-free implementation of sliding mode systems (2010)
  16. Dong, Jun-Liang: Shifted skew-symmetric iteration methods for nonsymmetric linear complementarity problems (2010)
  17. Facchinei, Francisco; Kanzow, Christian: Generalized Nash equilibrium problems (2010)
  18. Ferris, Michael C.; Dirkse, Steven P.; Meeraus, Alexander: Mathematical programs with equilibrium constraints: automatic reformulation and solution via constrained optimization (2010)
  19. Gabriel, S. A.; Fuller, J. D.: A Benders decomposition method for solving stochastic complementarity problems with an application in energy (2010)
  20. Ma, Changfeng: A new smoothing and regularization Newton method for (P_0)-NCP (2010)

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