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 188 articles , 2 standard articles )

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  1. Dong, Guozhi; Hintermüller, Michael; Papafitsoros, Kostas: Optimization with learning-informed differential equation constraints and its applications (2022)
  2. Kirches, Christian; Larson, Jeffrey; Leyffer, Sven; Manns, Paul: Sequential linearization method for bound-constrained mathematical programs with complementarity constraints (2022)
  3. Borges, Pedro; Sagastizábal, Claudia; Solodov, Mikhail: Decomposition algorithms for some deterministic and two-stage stochastic single-leader multi-follower games (2021)
  4. Liu, Yanchao: A note on solving DiDi’s driver-order matching problem (2021)
  5. Luo, Jianfeng; Zhao, Yi: Simulation-based study of biological systems with threshold policy by a differential linear complementarity system (2021)
  6. Nguyen, Trang T.; Richard, Jean-Philippe P.; Tawarmalani, Mohit: Convexification techniques for linear complementarity constraints (2021)
  7. Sreekumaran, Harikrishnan; Hota, Ashish R.; Liu, Andrew L.; Uhan, Nelson A.; Sundaram, Shreyas: Equilibrium strategies for multiple interdictors on a common network (2021)
  8. 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)
  9. Bahn, Olivier; Haurie, Alain: A steady-state game of a net-zero emission climate regime (2020)
  10. Egging-Bratseth, Ruud; Baltensperger, Tobias; Tomasgard, Asgeir: Solving oligopolistic equilibrium problems with convex optimization (2020)
  11. Farrell, Patrick E.; Croci, Matteo; Surowiec, Thomas M.: Deflation for semismooth equations (2020)
  12. 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)
  13. Kanno, Yoshihiro: An accelerated Uzawa method for application to frictionless contact problem (2020)
  14. Stefanova, Maria; Minevich, Olga; Baklanov, Stanislav; Petukhova, Margarita; Lupuleac, Sergey; Grigor’ev, Boris; Kokkolaras, Michael: Convex optimization techniques in compliant assembly simulation (2020)
  15. Wu, Shu-Lin; Zhou, Tao; Chen, Xiaojun: A Gauss-Seidel type method for dynamic nonlinear complementarity problems (2020)
  16. Abdi, Fatemeh; Shakeri, Fatemeh: Power iteration and inverse power iteration for eigenvalue complementarity problem. (2019)
  17. Bosse, Torsten: (Almost) matrix-free solver for piecewise linear functions in abs-normal form. (2019)
  18. Kim, Youngdae; Ferris, Michael C.: Solving equilibrium problems using extended mathematical programming (2019)
  19. Oke, Olufolajimi; Huppmann, Daniel; Marshall, Max; Poulton, Ricky; Siddiqui, Sauleh: Multimodal transportation flows in energy networks with an application to crude oil markets (2019)
  20. 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)

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