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 184 articles , 2 standard articles )

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  1. Sessa, Valentina; Iannelli, Luigi; Vasca, Francesco; Acary, Vincent: A complementarity approach for the computation of periodic oscillations in piecewise linear systems (2016)
  2. Zhang, Yan; Sahinidis, Nikolaos V.: Global optimization of mathematical programs with complementarity constraints and application to clean energy deployment (2016)
  3. Adly, Samir; Rammal, Hadia: A new method for solving second-order cone eigenvalue complementarity problems (2015)
  4. Drapaca, Corina S.; Kauffman, Justin A.: A study of brain biomechanics using Hamilton’s principle: application to hydrocephalus (2015)
  5. 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)
  6. Mazhar, Hammad; Heyn, Toby; Negrut, Dan; Tasora, Alessandro: Using Nesterov’s method to accelerate multibody dynamics with friction and contact (2015)
  7. Morrow, W. Ross: Finite purchasing power and computations of Bertrand-Nash equilibrium prices (2015)
  8. Qu, Shaojian; Goh, Mark; Ji, Ying; De Souza, Robert: A new algorithm for linearly constrained c-convex vector optimization with a supply chain network risk application (2015)
  9. Riccardi, R.; Bonenti, F.; Allevi, E.; Avanzi, C.; Gnudi, A.: The steel industry: a mathematical model under environmental regulations (2015)
  10. Xiong, Xiaogang; Kikuuwe, Ryo; Yamamoto, Motoji: Implicit Euler simulation of one-dimensional Burridge-Knopoff model of earthquakes with set-valued friction laws (2015)
  11. Acary, Vincent; de Jong, Hidde; Brogliato, Bernard: Numerical simulation of piecewise-linear models of gene regulatory networks using complementarity systems (2014)
  12. Domes, Ferenc; Fuchs, Martin; Schichl, Hermann; Neumaier, Arnold: The optimization test environment (2014)
  13. Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone: Solving quasi-variational inequalities via their KKT conditions (2014)
  14. Fernandes, Luís M.; Júdice, Joaquim J.; Sherali, Hanif D.; Forjaz, Maria A.: On an enumerative algorithm for solving eigenvalue complementarity problems (2014)
  15. Luna, Juan Pablo; Sagastizábal, Claudia; Solodov, Mikhail: A class of Dantzig-Wolfe type decomposition methods for variational inequality problems (2014)
  16. 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)
  17. Adly, Samir; Rammal, Hadia: A new method for solving Pareto eigenvalue complementarity problems (2013)
  18. Chen, Yihsu; Wang, Lizhi: Renewable portfolio standards in the presence of green consumers and emissions trading (2013)
  19. Ehrenmann, Andreas; Smeers, Yves: Risk adjusted discounted cash flows in capacity expansion models (2013)
  20. Schiro, Dane A.; Pang, Jong-Shi; Shanbhag, Uday V.: On the solution of affine generalized Nash equilibrium problems with shared constraints by Lemke’s method (2013)

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