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. Liu, Yanchao: A note on solving DiDi’s driver-order matching problem (2021)
  2. Ashimov, Abdykappar A.; Borovskiy, Yuriy V.; Novikov, Dmitry A.; Sultanov, Bahyt T.; Onalbekov, Mukhit A.: Macroeconomic analysis and parametric control of a regional economic union (2020)
  3. Bahn, Olivier; Haurie, Alain: A steady-state game of a net-zero emission climate regime (2020)
  4. Egging-Bratseth, Ruud; Baltensperger, Tobias; Tomasgard, Asgeir: Solving oligopolistic equilibrium problems with convex optimization (2020)
  5. Grübel, Julia; Kleinert, Thomas; Krebs, Vanessa; Orlinskaya, Galina; Schewe, Lars; Schmidt, Martin; Thürauf, Johannes: On electricity market equilibria with storage: modeling, uniqueness, and a distributed ADMM (2020)
  6. Kanno, Yoshihiro: An accelerated Uzawa method for application to frictionless contact problem (2020)
  7. Stefanova, Maria; Minevich, Olga; Baklanov, Stanislav; Petukhova, Margarita; Lupuleac, Sergey; Grigor’ev, Boris; Kokkolaras, Michael: Convex optimization techniques in compliant assembly simulation (2020)
  8. Wu, Shu-Lin; Zhou, Tao; Chen, Xiaojun: A Gauss-Seidel type method for dynamic nonlinear complementarity problems (2020)
  9. Abdi, Fatemeh; Shakeri, Fatemeh: Power iteration and inverse power iteration for eigenvalue complementarity problem. (2019)
  10. Bosse, Torsten: (Almost) matrix-free solver for piecewise linear functions in abs-normal form. (2019)
  11. Kim, Youngdae; Ferris, Michael C.: Solving equilibrium problems using extended mathematical programming (2019)
  12. Oke, Olufolajimi; Huppmann, Daniel; Marshall, Max; Poulton, Ricky; Siddiqui, Sauleh: Multimodal transportation flows in energy networks with an application to crude oil markets (2019)
  13. Yue, Dajun; Gao, Jiyao; Zeng, Bo; You, Fengqi: A projection-based reformulation and decomposition algorithm for global optimization of a class of mixed integer bilevel linear programs (2019)
  14. Barton, Paul I.; Khan, Kamil A.; Stechlinski, Peter; Watson, Harry A. J.: Computationally relevant generalized derivatives: theory, evaluation and applications (2018)
  15. Gérard, Henri; Leclère, Vincent; Philpott, Andy: On risk averse competitive equilibrium (2018)
  16. Kim, Youngdae; Huber, Olivier; Ferris, Michael C.: A structure-preserving pivotal method for affine variational inequalities (2018)
  17. Wang, Zhengyu; Pickl, Stefan: A Galerkin method for the dynamic Nash equilibrium problem with shared constraint (2018)
  18. Xing, Weiwei; Song, Chongmin; Tin-Loi, Francis: A scaled boundary finite element based node-to-node scheme for 2D frictional contact problems (2018)
  19. Abdi, Fatemeh; Shakeri, Fatemeh: A new descent method for symmetric non-monotone variational inequalities with application to eigenvalue complementarity problems (2017)
  20. Allevi, E.; Oggioni, G.; Riccardi, Rossana; Rocco, M.: An equilibrium model for the cement sector: EU-ETS analysis with power contracts (2017)

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