| [1] |
Cottle, R. W.; Pang, J.-S.; Venkateswaran, V., Sufficient matrices and the linear complementarity problem, Linear Algebra and its Applications, 114/115, 231-249 (1989) · Zbl 0674.90092 |
| [2] |
Guu, S.-M.; Cottle, R. W., On a subclass of \(P_0\), Linear Algebra and its Applications, 223/224, 325-335 (1995) · Zbl 0831.15013 |
| [3] |
Illés, T.; Roos, C.; Terlaky, T., Polynomial affine-scaling algorithms for \(P_∗(κ)\) linear complementarity problems, (Gritzmann, P.; Horst, R.; Sachs, E.; Tichatschke, R., Recent Advances in Optimization, Proceedings of the 8th French-German Conference on Optimization, Trier, July 21-26, 1996. Recent Advances in Optimization, Proceedings of the 8th French-German Conference on Optimization, Trier, July 21-26, 1996, Lecture Notes in Economics and Mathematical Systems, vol. 452 (1997), Springer-Verlag: Springer-Verlag Berlin), 119-137 · Zbl 0914.90251 |
| [4] |
Ji, J.; Potra, F. A.; Sheng, R., A predictor-corrector method for the \(P_∗\)-matrix LCP from infeasible starting points, Optimization Methods and Software, 6, 109-126 (1995) |
| [5] |
Kojima, M.; Mizuno, S.; Yoshise, A., A polynomial-time algorithm for a class of linear complementarity problems, Mathematical Programming, 44, 1-26 (1989) · Zbl 0676.90087 |
| [6] |
Kojima, M.; Megiddo, N.; Noma, T.; Yoshise, A., A Unified Approach to Interior Point Algorithms for Linear Complementarity Problems. A Unified Approach to Interior Point Algorithms for Linear Complementarity Problems, Lecture Notes in Computer Science, vol. 538 (1991), Springer-Verlag: Springer-Verlag Berlin, Germany · Zbl 0745.90069 |
| [7] |
Miao, J., A quadratically convergent \(O((\kappa + 1) \sqrt{n} L)\)-iteration algorithm for the \(P_∗(κ)\)-matrix linear complementarity problem, Mathematical Programming, 69, 355-368 (1995) · Zbl 0844.90097 |
| [8] |
Mizuno, S.; Todd, M. J.; Ye, Y., On adaptive-step primal-dual interior-point algorithms for linear programming, Mathematics of Operations Research, 18, 4, 964-981 (1993) · Zbl 0810.90091 |
| [9] |
Peng, J.; Roos, C.; Terlaky, T., Self-Regularity: A New Paradigm for Primal-Dual Interior Point Algorithms (2002), Princeton University Press: Princeton University Press New Jersey, USA · Zbl 1136.90045 |
| [10] |
I. Pólik, Novel analysis of interior point methods for linear optimization problems, Ms. Thesis, Eötvös Loránd University of Sciences, Faculty of Natural Sciences, Budapest, 2002 [in Hungarian]. Available from: <http://www.cs.elte.hu/matdiploma/>; I. Pólik, Novel analysis of interior point methods for linear optimization problems, Ms. Thesis, Eötvös Loránd University of Sciences, Faculty of Natural Sciences, Budapest, 2002 [in Hungarian]. Available from: <http://www.cs.elte.hu/matdiploma/> |
| [11] |
Potra, F. A.; Sheng, R., Predictor-corrector algorithm for solving \(P_∗(κ)\)-matrix LCP from arbitrary positive starting points, Mathematical Programming, 76, 1, 223-244 (1996) · Zbl 0881.90115 |
| [12] |
Potra, F. A.; Sheng, R., A large step infeasible interior point method for the \(P_∗\)-matrix LCP, SIAM Journal on Optimization, 7, 2, 318-335 (1997) · Zbl 0872.90100 |
| [13] |
Potra, F. A.; Sheng, R., Superlinearly convergent infeasible interior point algorithm for degenerate LCP, Journal of Optimization Theory and Application, 97, 2, 249-269 (1998) · Zbl 0907.90261 |
| [14] |
Potra, F. A., The Mizuno-Todd-Ye algorithm in a larger neighborhood of the central path, European Journal of Operational Research, 143, 257-267 (2002) · Zbl 1058.90076 |
| [15] |
Roos, C.; Terlaky, T.; Vial, J.-Ph., Theory and Algorithms for Linear Optimization, An Interior Point Approach. Theory and Algorithms for Linear Optimization, An Interior Point Approach, Wiley-Interscience Series in Discrete Mathematics and Optimization (1997), John Wiley & Sons: John Wiley & Sons New York, USA · Zbl 0954.65041 |
| [16] |
Sonnevend, Gy.; Stoer, J.; Zhao, G., On the complexity of following the central path of linear programs by linear extrapolation, Methods of Operations Research, 63, 19-31 (1989) · Zbl 0726.90056 |
| [17] |
Väliaho, H., \(P_∗\)-matrices are just sufficient, Linear Algebra and its Applications, 239, 103-108 (1996) · Zbl 0851.15015 |
| [18] |
Ye, Y.; Anstreicher, K., On quadratic and \(O(\sqrt{n} L)\) convergence of a predictor-corrector algorithm for LCP, Mathematical Programming, 62, 537-551 (1993) · Zbl 0799.90111 |
