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 145 articles , 2 standard articles )

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  1. Chi, Xiaoni; Wei, Hongjin; Feng, Yuqiang; Chen, Jiawei: Variational inequality formulation of circular cone eigenvalue complementarity problems (2016)
  2. Jiang, Hao; Shanbhag, Uday V.: On the solution of stochastic optimization and variational problems in imperfect information regimes (2016)
  3. Latorre, Vittorio; Sagratella, Simone: A canonical duality approach for the solution of affine quasi-variational inequalities (2016)
  4. Luna, Juan Pablo; Sagastizábal, Claudia; Solodov, Mikhail: An approximation scheme for a class of risk-averse stochastic equilibrium problems (2016)
  5. Outrata, Jiří V.; Ferris, Michael C.; Červinka, Michal; Outrata, Michal: On Cournot-Nash-Walras equilibria and their computation (2016)
  6. Philpott, Andy; Ferris, Michael; Wets, Roger: Equilibrium, uncertainty and risk in hydro-thermal electricity systems (2016)
  7. Sagratella, Simone: Computing all solutions of Nash equilibrium problems with discrete strategy sets (2016)
  8. Sessa, Valentina; Iannelli, Luigi; Vasca, Francesco; Acary, Vincent: A complementarity approach for the computation of periodic oscillations in piecewise linear systems (2016)
  9. Zhang, Yan; Sahinidis, Nikolaos V.: Global optimization of mathematical programs with complementarity constraints and application to clean energy deployment (2016)
  10. Adly, Samir; Rammal, Hadia: A new method for solving second-order cone eigenvalue complementarity problems (2015)
  11. Drapaca, Corina S.; Kauffman, Justin A.: A study of brain biomechanics using Hamilton’s principle: application to hydrocephalus (2015)
  12. Ma, Rui; Ban, Xuegang (Jeff); Pang, Jong-Shi; Liu, Henry X.: Submission to the DTA2012 special issue: Approximating time delays in solving continuous-time dynamic user equilibria (2015)
  13. Morrow, W.Ross: Finite purchasing power and computations of Bertrand-Nash equilibrium prices (2015)
  14. Riccardi, R.; Bonenti, F.; Allevi, E.; Avanzi, C.; Gnudi, A.: The steel industry: a mathematical model under environmental regulations (2015)
  15. Xiong, Xiaogang; Kikuuwe, Ryo; Yamamoto, Motoji: Implicit Euler simulation of one-dimensional Burridge-Knopoff model of earthquakes with set-valued friction laws (2015)
  16. Acary, Vincent; de Jong, Hidde; Brogliato, Bernard: Numerical simulation of piecewise-linear models of gene regulatory networks using complementarity systems (2014)
  17. Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone: Solving quasi-variational inequalities via their KKT conditions (2014)
  18. Fernandes, Luís M.; Júdice, Joaquim J.; Sherali, Hanif D.; Forjaz, Maria A.: On an enumerative algorithm for solving eigenvalue complementarity problems (2014)
  19. Luna, Juan Pablo; Sagastizábal, Claudia; Solodov, Mikhail: A class of Dantzig-Wolfe type decomposition methods for variational inequality problems (2014)
  20. Abada, Ibrahim; Gabriel, Steven; Briat, Vincent; Massol, Olivier: A generalized Nash-Cournot model for the northwestern European natural gas markets with a fuel substitution demand function: the GaMMES model (2013)

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