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QVILIB

swMATH ID: 7063
Software Authors: Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone
Description: QVILIB: A library of quasi-variational inequality test problems. Quasi-variational inequalities (QVIs) are a well established and important modelling tool with several applications in different fields. Solution methods exist, but are either especially tailored to very particular classes of problems, or are investigated mainly from a theoretical point of view. However, spurred by several recent applications of QVIs in engineering, the interest in general purpose solution methods is growing. The aim of this paper is to present a collection of test problems from diverse sources which gives a uniform basis on which algorithms for the solution of QVIs can be tested and compared. All the proposed problems are implemeted in Matlab and the collection is freely available on request.
Homepage: http://www.mathematik.uni-wuerzburg.de/~kanzow/paper/QVI_Test_Library_28_3_12P.pdf
Keywords: quasi-variational inequalities; test problem; Walrasian equilibrium problem; generalized Nash equilibrium problem; contact problem; numerical examples; algorithm; Matlab
Related Software: PATH Solver; ALGENCAN; iPiasco; levmar; STRSCNE; LANCELOT; Matlab
Cited in: 19 Publications

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
QVILIB: A library of quasi-variational inequality test problems. Zbl 1267.65078
Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone
2013
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Cited by 38 Authors

7 Kanzow, Christian
6 Sagratella, Simone
3 Facchinei, Francisco
2 Mastroeni, Giandomenico
2 Noor, Khalida Inayat
2 Noor, Muhammad Aslam
2 Pappalardo, Massimo
2 Passacantando, Mauro
1 Aussel, Didier
1 Bilal Khan, Muhammad
1 Ertürk, Müzeyyen
1 Galli, Leonardo
1 Gibali, Aviv
1 Gürsoy, Faik
1 Hacioğlu, Emirhan
1 Harms, Nadja
1 Hoheisel, Tim
1 Jabeen, Saudia
1 Karl, Sebastian
1 Keten Çopur, Ayşegül
1 Khan, Awais Gul
1 Latorre, Vittorio
1 Macías-Díaz, Jorge Eduardo
1 Nguyen, Thi Phuong Dong
1 Nguyen, Thi Thu Van
1 Nguyen, Van Hien
1 Ni, Tie
1 Santos, Paulo Sérgio M.
1 Santos, Pedro Jorge S.
1 Scheimberg, Susana
1 Sciandrone, Marco
1 Shehu, Yekini
1 Steck, Daniel Daniel
1 Strodiot, Jean-Jacques
1 Sun, Zhe
1 Xie, Shuilian
1 Xu, Hongru
1 Zhai, Jun
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Cited in 15 Serials

3 Computational Optimization and Applications
2 Journal of Optimization Theory and Applications
2 Mathematical Programming. Series A. Series B
1 Computers & Mathematics with Applications
1 Applied Numerical Mathematics
1 Optimization
1 Journal of Scientific Computing
1 Annals of Operations Research
1 Journal of Global Optimization
1 Mathematical Methods of Operations Research
1 Journal of Inequalities and Applications
1 4OR
1 Pacific Journal of Optimization
1 Optimization Letters
1 Afrika Matematika

Cited in 5 Fields

14 Operations research, mathematical programming (90-XX)
12 Numerical analysis (65-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
3 Operator theory (47-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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