References
- Calvin J. and Žilinskas A On the convergence of the P-algorithm for one-dimensional global optimization of smooth functions . J. Optim. Theory Appl. , 102 3 : 479 – 495 , 1999 . doi: 10.1023/A:1022677121193 .
- Calvin J. and Žilinskas A. One-dimensional P-algorithm with convergence rate O(n-3+▵) for smooth functions . J. Optim. Theory Appl. , 106 2 : 297 – 307 , 2000 . doi: 10.1023/A:1004699313526 .
- Hansen , P. and Jaumard , B. 1995 . “ Lipshitz optimization ” . In Handbook of Global Optimization , Edited by: Horst , R. and Pardalos , P. M. Vol. 1 , 407 – 493 . Kluwer Academic Publishers .
- Jansson C. and Knuppel O. A global minimization method: The multidimensional case . Technical report, TU Hamburg-Harburg , 1992 .
- Mockus , J. 1988 . Bayesian Approach to Global Optimization , Kluwer .
- Mockus , J. , Eddy , W. and Reklaitis , G. 1996 . Bayesian Heuristic Approach to Discrete and Global Optimization , Kluwer .
- Paulavičius R. and Žilinskas J. Improved Lipschitz bounds with the first norm for function values over multidimensional simplex . Math. Model. Anal. , 13 4 : 553 – 563 , 2008 . doi: 10.3846/1392-6292.2008.13.553-563 .
- Paulavičius R. and Žilinskas J. Investigation of selection strategies in branch and bound algorithm with simplicial partitions and combination of Lipschitz bounds . Optim. Lett. , 4 2 : 173 – 183 , 2010 . doi: 10.1007/s11590-009-0156-3 .
- Strongin , R. and Sergeyev , Y. 2000 . Global Optimization with Non-convex Constraints , Kluwer .
- Törn A. and Žilinskas A. Global optimization . Lecture Notes in Comput. Sci. , 350 : 1 – 252 , 1989 . doi: 10.1007/3-540-50871-6 .
- Zhigljavsky , A. and Žilinskas , A. 2008 . Stochastic Global Optimization , Springer .
- Žilinskas A. Axiomatic approach to statistical models and their use in multimodal optimization theory . Math. Program. , 22 1 : 104 – 116 , 1982 . doi: 10.1007/BF01581029 .
- Žilinskas A. On similarities between two models of global optimization: statistical models and radial basis functions . J. Global Optim , 48 1 : 173 – 182 , 2010 . doi: 10.1007/s10898-009-9517-9 .
- Žilinskas A. and Žilinskas J. . Global optimization based on a statistical model and simplicial partitioning . Comput.Math. Appl , 44 7 : 957 – 967 , 2002 . doi: 10.1016/S0898-1221(02)00206-7 .
- Žilinskas A. and Žilinskas J. . P-algorithm based on a simplicial statistical model of multimodal functions . TOP , 18 2 : 396 – 412 , 2010 . doi: 10.1007/s11750-010-0153-9 .
- Žilinskas , J. 2007 . Reducing of search space of multidimensional scaling problems with data exposing symmetries . Information Technology and Control , 36 ( 4 ) : 377 – 382 .
- Žilinskas J. Branch and bound with simplicial partitions for global optimization . Math. Model. Anal. , 13 1 : 145 – 159 , 2008 . doi: 10.3846/1392-6292.2008.13.145-159 .