Edit Profile (opens in new tab) Terlaky, Tamás Co-Author Distance Author ID: terlaky.tamas Published as: Terlaky, Tamás; Terlaky, T.; Terlaky, Tamas; Terlaky, Tamaś; Terlaky, Tomas more...less Homepage: http://coral.ise.lehigh.edu/terlaky/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef Documents Indexed: 200 Publications since 1980, including 3 Books 20 Contributions as Editor Biographic References: 1 Publication Co-Authors: 129 Co-Authors with 203 Joint Publications 3,588 Co-Co-Authors all top 5 Co-Authors 16 single-authored 61 Roos, Cornelis 18 Peng, Jiming 16 Klafszky, Emil 15 Jansen, Benjamin 14 Illés, Tibor 13 de Klerk, Etienne 13 den Hertog, Dick 11 Salahi, Maziar 9 Deza, Antoine 9 Ghaffari Hadigheh, Alireza 9 Nezhad, Ali Mohammad 8 Pólik, Imre 8 Roos, Kees 7 Vial, Jean-Philippe 4 Anand, Christopher Kumar 4 Góez, Julio César 4 Horváth, Zoltán 4 Mayer, Janos 4 Nagy, Marianna 4 Nematollahi, Eissa 4 Song, Yunfei 4 Vannelli, Anthony 4 Zhang, Hu 4 Zinchenko, Yuriy 4 Zuluaga, Luis Fernando 3 Andersen, Erling D. 3 Belotti, Pietro 3 Bertók, Botond 3 Fukuda, Komei 3 Mut, Murat 3 Quist, Arie J. 3 Ralphs, Ted K. 3 Romanko, Oleksandr 3 Shahabsafa, Mohammad 3 Sotirov, Renata 2 Anjos, Miguel F. 2 Anstreicher, Kurt M. 2 Berkelaar, Arjan B. 2 Güler, Osman 2 He, Sicheng 2 Huang, Sui 2 Jarre, Florian 2 Kaliski, John A. 2 Lei, Weiming 2 Li, Dan 2 Martins, Joaquim R. R. A. 2 Mirnia, Kamal 2 Nemirovski, Arkadi S. 2 Peyghami, Mohammad Reza 2 Stephen, Tamon 2 Tsuchiya, Takashi 2 Weber, Gerhard-Wilhelm 2 Zhang, Shuzhong 1 Ahmed, Shabbir 1 Aleman, Dionne M. 1 Bernal, David E. 1 Bomze, Immanuel M. 1 Burdakov, Oleg P. 1 Christiara, C. 1 Cojocaru, Monica-Gabriela 1 Curtis, Frank E. 1 Dantzig, George Bernard 1 de Jong, Aise Johan 1 de Jong, Jacob J. 1 Deák, István 1 Defourny, Boris 1 Dickson, Chris 1 Du, Peng 1 Dür, Mirjam 1 Fakhimi, Ramin 1 Fallahi, Saeed 1 Forsyth, Peter A. 1 Frenk, Hans 1 Ghaffari-Hadigheh, Habib 1 Ghaffari, Hamid R. 1 Glineur, François 1 Goberna, Miguel Angel 1 Gondzio, Jacek 1 Greenberg, Harvey Joel 1 Haglin, David J. 1 Hare, Warren L. 1 Hauenstein, Jonathan D. 1 He, Bingsheng 1 Holder, Allen G. 1 Hoogenboom, Eduard 1 Hoogenboom, J. Eduard 1 Ivanov Todorov, Maxim 1 Jiao, Tianshi 1 Júdice, Joaquim João 1 Kostina, Ekaterina A. 1 Koulaei, Mohammad H. 1 Krishnan, Kartik 1 Li, Yang 1 Liu, M. J. J. 1 López-Cerdá, Marco Antonio 1 Luo, Zhi-Quan 1 Mitchell, John E. 1 Oskoorouchi, Mohammad R. 1 Pintér, János D. 1 Portugal, Luis F. ...and 32 more Co-Authors all top 5 Serials 15 European Journal of Operational Research 14 Alkalmazott Matematikai Lapok. A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei 14 Optimization Methods & Software 10 Mathematical Programming. Series A. Series B 10 SIAM Journal on Optimization 9 Operations Research Letters 9 Optimization 9 Annals of Operations Research 8 Journal of Optimization Theory and Applications 8 Optimization and Engineering 5 Springer Proceedings in Mathematics & Statistics 4 Discrete Applied Mathematics 4 Applied Numerical Mathematics 4 Optimization Letters 3 Mathematics of Operations Research 3 Linear Algebra and its Applications 3 Computational Optimization and Applications 3 Algorithmic Operations Research 3 INFOR: Information Systems and Operational Research 2 INFOR 2 Operations Research 2 Discrete & Computational Geometry 2 Journal of Global Optimization 2 SIAM Journal on Scientific Computing 2 Top 2 Journal of Combinatorial Optimization 2 CEJOR. Central European Journal of Operations Research 2 Applied Optimization 2 EURO Journal on Computational Optimization 1 Computer Methods in Applied Mechanics and Engineering 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 The Arabian Journal for Science and Engineering 1 Journal of Combinatorial Theory. Series B 1 Journal of the Operations Research Society of Japan 1 Management Science 1 RAIRO. Recherche Opérationnelle 1 Statistica Neerlandica 1 Szigma 1 Journal of Information & Optimization Sciences 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 1 Combinatorica 1 Radovi Matematički 1 Algorithmica 1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 1 Asia-Pacific Journal of Operational Research 1 SIAM Review 1 PU.M.A. Pure Mathematics and Applications 1 ZOR. Mathematical Methods of Operations Research 1 Discrete and Continuous Dynamical Systems 1 Revista Investigación Operacional 1 International Transactions in Operational Research 1 Vietnam Journal of Mathematics 1 Vychislitel’nye Tekhnologii 1 Quantum Information Processing 1 Computational Management Science 1 Discrete Optimization 1 Journal of Industrial and Management Optimization 1 Communications in Computational Physics 1 MOS/SIAM Series on Optimization 1 Princeton Series in Applied Mathematics all top 5 Fields 198 Operations research, mathematical programming (90-XX) 31 Numerical analysis (65-XX) 20 General and overarching topics; collections (00-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 11 Computer science (68-XX) 8 Combinatorics (05-XX) 8 Convex and discrete geometry (52-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistics (62-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 162 Publications have been cited 2,238 times in 1,355 Documents Cited by ▼ Year ▼ Theory and algorithms for linear optimization. An interior point approach. Zbl 0954.65041Roos, Kees; Terlaky, Tamás; Vial, Jean-Philippe 165 1997 A survey of the S-lemma. Zbl 1128.90046Pólik, Imre; Terlaky, Tamás 149 2007 Self-regularity: a new paradigm for primal-dual interior-point algorithms. Zbl 1136.90045Peng, Jiming; Roos, Cornelis; Terlaky, Tamás 129 2002 Self-regular functions and new search directions for linear and semidefinite optimization. Zbl 1007.90037Peng, Jiming; Roos, Cornelis; Terlaky, Tamás 123 2002 On implementing a primal-dual interior-point method for conic quadratic optimization. Zbl 1030.90137Andersen, E. D.; Roos, C.; Terlaky, T. 111 2003 On copositive programming and standard quadratic optimization problems. Zbl 0970.90057Bomze, Immanuel M.; Dür, Mirjam; de Klerk, Etienne; Roos, Cornelis; Quist, Arie J.; Terlaky, Tamás 82 2000 Pivot rules for linear programming: A survey on recent theoretical developments. Zbl 0793.90034Terlaky, Tamás; Zhang, Shuzhong 52 1993 A new class of large neighborhood path-following interior point algorithms for semidefinite optimization with \(O(\sqrt{n}\log\frac{\text{Tr}(X^0S^0)}{\varepsilon})\) iteration complexity. Zbl 1228.90072Li, Yang; Terlaky, Tamás 45 2010 On maximization of quadratic form over intersection of ellipsoids with common center. Zbl 0944.90056Nemirovski, A.; Roos, C.; Terlaky, T. 42 1999 A convergent criss-cross method. Zbl 0581.90052Terlaky, T. 41 1985 On Mehrotra-type predictor-corrector algorithms. Zbl 1165.90569Salahi, M.; Peng, J.; Terlaky, T. 38 2007 Interior point methods for linear optimization. 2nd ed. Zbl 1116.90112Roos, Cornelis; Terlaky, Tamás; Vial, Jean-Philippe 34 2006 A new and efficient large-update interior-point method for linear optimization. Zbl 0987.90089Peng, J.; Roos, C.; Terlaky, T. 32 2001 Primal-dual interior-point methods for second-order conic optimization based on self-regular proximities. Zbl 1041.90072Peng, Jiming; Roos, Cornelis; Terlaky, Tamás 32 2002 Initialization in semidefinite programming via a self-dual skew-symmetric embedding. Zbl 0881.90096de Klerk, E.; Roos, C.; Terlaky, T. 31 1997 Sensitivity analysis in linear programming: Just be careful! Zbl 0929.90081Jansen, B.; de Jong, J. J.; Roos, C.; Terlaky, T. 30 1997 On the classical logarithmic barrier function method for a class of smooth convex programming problems. Zbl 0794.90044den Hertog, D.; Roos, C.; Terlaky, T. 27 1992 On \(\ell_ p\) programming. Zbl 0577.90062Terlaky, T. 26 1985 Primal-dual target-following algorithms for linear programming. Zbl 0848.90083Jansen, B.; Roos, C.; Terlaky, T.; Vial, J.-Ph. 24 1996 A conic representation of the convex hull of disjunctive sets and conic cuts for integer second order cone optimization. Zbl 1330.65083Belotti, Pietro; Góez, Julio C.; Pólik, Imre; Ralphs, Ted K.; Terlaky, Tamás 24 2015 Pivot versus interior point methods: Pros and cons. Zbl 1005.90044Illés, Tibor; Terlaky, Tamás 23 2002 Copositive relaxation for general quadratic programming. Zbl 0904.90126Quist, A. J.; de Klerk, E.; Roos, C.; Terlaky, T. 23 1998 A new class of polynomial primal-dual methods for linear and semidefinite optimization. Zbl 1058.90037Peng, Jiming; Roos, Cornelis; Terlaky, Tamás 23 2002 Infeasible-start semidefinite programming algorithms via self-dual embeddings. Zbl 0905.90155de Klerk, E.; Roos, C.; Terlaky, T. 22 1998 Criss-cross methods: A fresh view on pivot algorithms. Zbl 0887.90113Fukuda, Komei; Terlaky, Tamás 21 1997 New complexity analysis of the primal-dual Newton method for linear optimization. Zbl 0990.90065Peng, J.; Roos, C.; Terlaky, T. 21 2000 The linear complementarity problem, sufficient matrices, and the criss- cross method. Zbl 0778.65044den Hertog, D.; Roos, C.; Terlaky, T. 21 1993 On families of quadratic surfaces having fixed intersections with two hyperplanes. Zbl 1288.90052Belotti, Pietro; Góez, Julio C.; Pólik, Imre; Ralphs, Ted K.; Terlaky, Tamás 20 2013 A polynomial path-following interior point algorithm for general linear complementarity problems. Zbl 1200.90163Illés, Tibor; Nagy, Marianna; Terlaky, Tamás 20 2010 Interior point methods of mathematical programming. Zbl 0866.00024 19 1996 A strongly polynomial rounding procedure yielding a maximally complementary solution for \(P_*(\kappa)\) linear complementarity problems. Zbl 1010.90082Illés, Tibor; Peng, Jiming; Roos, Cornelis; Terlaky, Tamás 19 2000 A sufficient condition for self-concordance, with application to some classes of structured convex programming problems. Zbl 0855.90097den Hertog, D.; Jarre, F.; Roos, C.; Terlaky, T. 18 1995 Linear complementarity and oriented matroids. Zbl 0773.90077Fukuda, Komei; Terlaky, Tamás 18 1992 Degeneracy in interior point methods for linear programming: A survey. Zbl 0785.90067Güler, O.; den Hertog, D.; Roos, C.; Terlaky, T.; Tsuchiya, T. 18 1993 The optimal set and optimal partition approach to linear and quadratic programming. Zbl 0904.90159Berkelaar, Arjan B.; Roos, Kees; Terlaky, Tamás 17 1997 Notes on duality in second order and \(p\)-order cone optimization. Zbl 1040.90047Andersen, E. D.; Roos, C.; Terlaky, T. 17 2002 A large-step analytic center method for a class of smooth convex programming problems. Zbl 0774.90063den Hertog, D.; Roos, C.; Terlaky, T. 17 1992 A finite crisscross method for oriented matroids. Zbl 0588.05010Terlaky, Tamás 17 1987 A predictor-corrector algorithm for linear optimization based on a specific self-regular proximity function. Zbl 1097.90032Peng, Jiming; Terlaky, Tamás; Zhao, Yunbin 16 2005 Sensitivity analysis in linear optimization: invariant support set intervals. Zbl 1079.90132Hadigheh, Alireza Ghaffari; Terlaky, Tamás 14 2006 Conic formulation for \(l_p\)-norm optimization. Zbl 1092.90060Glineur, F.; Terlaky, T. 13 2004 Improved complexity using higher-order correctors for primal-dual Dikin affine scaling. Zbl 0884.90112Jansen, B.; Roos, C.; Terlaky, T.; Ye, Y. 13 1997 The theory of linear programming: Skew symmetric self-dual problems and the central path. Zbl 0820.90067Jansen, B.; Roos, C.; Terlaky, T. 13 1994 A monotonic build-up simplex algorithm for linear programming. Zbl 0810.90089Anstreicher, Kurt M.; Terlaky, Tamás 13 1994 EP theorem for dual linear complementarity problems. Zbl 1163.90032Illés, T.; Nagy, M.; Terlaky, T. 13 2009 Colourful simplicial depth. Zbl 1118.62058Deza, Antoine; Huang, Sui; Stephen, Tamon; Terlaky, Tamas 13 2006 Some generalizations of the criss-cross method for quadratic programming. Zbl 0814.49029Klafszky, E.; Terlaky, T. 12 1992 A polynomial primal-dual Dikin-type algorithm for linear programming. Zbl 0857.90082Jansen, B.; Roos, C.; Terlaky, T. 12 1996 Polytopes and arrangements: diameter and curvature. Zbl 1144.52024Deza, Antoine; Terlaky, Tamás; Zinchenko, Yuriy 12 2008 New stopping criteria for detecting infeasibility in conic optimization. Zbl 1167.90586Pólik, Imre; Terlaky, Tamás 12 2009 Linearly constrained estimation by mathematical programming. Zbl 0685.90065Klafszky, Emil; Mayer, János; Terlaky, Tamás 12 1989 Self-dual embeddings. Zbl 0957.90526de Klerk, Etienne; Terlaky, Tamás; Roos, Kees 11 2000 Primal-dual algorithms for linear programming based on the logarithmic barrier method. Zbl 0820.90068Jansen, B.; Roos, C.; Terlaky, T.; Vial, J. P. 11 1994 An interior point constraint generation algorithm for semi-infinite optimization with health-care application. Zbl 1235.90167Oskoorouchi, Mohammad R.; Ghaffari, Hamid R.; Terlaky, Tamás; Aleman, Dionne M. 11 2011 Sensitivity analysis in convex quadratic optimization: simultaneous perturbation of the objective and right-hand-side vectors. Zbl 1206.90187Ghaffari Hadigheh, Alireza; Romanko, Oleksandr; Terlaky, T. 11 2007 On the complexity analysis of a Mehrotra-type primal-dual feasible algorithm for semidefinite optimization. Zbl 1220.90082Koulaei, Mohammad H.; Terlaky, Tamás 10 2010 Central path curvature and iteration-complexity for redundant Klee-Minty cubes. Zbl 1189.90098Deza, Antoine; Terlaky, Tamás; Zinchenko, Yuriy 10 2009 A potential-reduction variant of Renegar’s short-step path-following method for linear programming. Zbl 0734.65050den Hertog, D.; Roos, C.; Terlaky, T. 10 1991 How good are interior point methods? Klee-Minty cubes tighten iteration-complexity bounds. Zbl 1176.90394Deza, Antoine; Nematollahi, Eissa; Terlaky, Tamás 10 2008 Some generalizations of the criss-cross method for the linear complementarity problem of oriented matroids. Zbl 0693.05020Klafszky, E.; Terlaky, T. 10 1989 Sensitivity analysis in linear semi-infinite programming via partitions. Zbl 1230.90190Goberna, M. A.; Terlaky, T.; Todorov, M. I. 10 2010 Interior point methods for nonlinear optimization. Zbl 1251.90391Pólik, Imre; Terlaky, Tamás 10 2010 Polynomial interior point algorithms for general linear complementarity problems. Zbl 1277.90133Illés, Tibor; Nagy, Marianna; Terlaky, Tamás 10 2010 A computational view of interior point methods. Zbl 1010.90524Gondzio, Jacek; Terlaky, Tamás 9 1996 An investigation of interior-point algorithms for the linear transportation problem. Zbl 0858.90099Portugal, L.; Bastos, F.; Júdice, J.; Paixão, J.; Terlaky, T. 9 1996 An easy way to teach interior-point methods. Zbl 1068.90614Terlaky, Tamaś 9 2001 A logarithmic barrier cutting plane method for convex programming. Zbl 0836.90126den Hertog, D.; Kaliski, J.; Roos, C.; Terlaky, T. 9 1995 The role of pivoting in proving some fundamental theorems of linear algebra. Zbl 0724.15005Klafszky, Emil; Terlaky, Tamás 9 1991 Adding and deleting constraints in the logarithmic barrier method for LP. Zbl 0828.90084Den Hertog, D.; Roos, C.; Terlaky, T. 8 1994 Logarithmic barrier decomposition methods for semi-infinite programming. Zbl 0911.90329Kaliski, J.; Haglin, D.; Roos, C.; Terlaky, T. 8 1997 A long-step barrier method for convex quadratic programming. Zbl 0783.90093Anstreicher, K. M.; den Hertog, D.; Roos, C.; Terlaky, T. 8 1993 A family of polynomial affine scaling algorithms for positive semidefinite linear complementarity problems. Zbl 0872.90096Jansen, B.; Roos, C.; Terlaky, T. 7 1997 Postponing the choice of the barrier parameter in Mehrotra-type predictor-corrector algorithms. Zbl 1121.90091Salahi, Maziar; Terlaky, Tamás 7 2007 The colourful feasibility problem. Zbl 1151.90487Deza, Antoine; Huang, Sui; Stephen, Tamon; Terlaky, Tamás 7 2008 A continuous \(d\)-step conjecture for polytopes. Zbl 1168.52009Deza, Antoine; Terlaky, Tamás; Zinchenko, Yuriy 7 2009 Basis- and partition identification for quadratic programming and linear complementarity problems. Zbl 0946.90091Berkelaar, Arjan B.; Jansen, Benjamin; Roos, Kees; Terlaky, Tamás 7 1999 Polynomiality of primal-dual affine scaling algorithms for nonlinear complementarity problems. Zbl 0889.90138Jansen, Benjamin; Roos, Kees; Terlaky, Tamás; Yoshise, Akiko 6 1997 A potential reduction approach to the frequency assignment problem. Zbl 0893.90132Warners, J. P.; Terlaky, T.; Roos, C.; Jansen, B. 6 1997 On the existence of a short admissible pivot sequence for feasibility and linear optimization problems. Zbl 1052.90100Fukuda, Komei; Terlaky, Tamás 6 2000 Complexity analysis of logarithmic barrier decomposition methods for semi-infinite linear programming. Zbl 0948.90137Luo, Zhi-Quan; Roos, C.; Terlaky, T. 6 1999 The central path visits all the vertices of the Klee-Minty cube. Zbl 1112.90047Deza, Antoine; Nematollahi, Eissa; Peyghami, Reza; Terlaky, Tamás 6 2006 Bi-parametric optimal partition invariancy sensitivity analysis in linear optimization. Zbl 1152.90525Ghaffari-Hadigheh, Alireza; Ghaffari-Hadigheh, Habib; Terlaky, Tamás 6 2008 A polynomial method of weighted centers for convex quadratic programming. Zbl 0746.90047den Hertog, D.; Roos, C.; Terlaky, T. 6 1991 A build-up variant of the logarithmic barrier method for LP. Zbl 0757.90052den Hertog, D.; Roos, C.; Terlaky, T. 6 1992 Interior point and semidefinite approaches in combinatorial optimization. Zbl 1098.90089Krishnan, Kartik; Terlaky, Tamás 6 2005 On the identification of the optimal partition of second order cone optimization problems. Zbl 1302.90217Terlaky, Tamás; Wang, Zhouhong 6 2014 The complexity of self-regular proximity based infeasible IPMs. Zbl 1111.90074Salahi, Maziar; Terlaky, Tamás; Zhang, Guoqing 6 2006 Steplength thresholds for invariance preserving of discretization methods of dynamical systems on a polyhedron. Zbl 1336.65125Horváth, Zoltán; Song, Yunfei; Terlaky, Tamás 5 2015 New complexity analysis of the primal-dual method for semidefinite optimization based on the Nesterov-Todd direction. Zbl 1009.90081Peng, J.; Roos, C.; Terlaky, T. 5 2001 Inverse Barrier methods for linear programming. Zbl 0857.90080den Hertog, D.; Roos, C.; Terlaky, T. 5 1994 Computing maximum likelihood estimators of convex density functions. Zbl 0909.90246Terlaky, T.; Vial, J.-Ph. 5 1998 Generalized support set invariancy sensitivity analysis in linear optimization. Zbl 1151.90488Hadigheh, Alireza Ghaffari; Terlaky, Tamás 5 2006 Mehrotra-type predictor-corrector algorithm revisited. Zbl 1211.90128Salahi, Maziar; Terlaky, Tamás 5 2008 Active constraint set invariancy sensitivity analysis in linear optimization. Zbl 1151.90022Hadigheh, A. Ghaffari; Mirnia, K.; Terlaky, T. 5 2007 Variants of the Hungarian method for solving linear programming problems. Zbl 0679.90035Klafszky, E.; Terlaky, T. 5 1989 Minimizing an indefinite quadratic function subject to a single indefinite quadratic constraint. Zbl 1398.90116Fallahi, S.; Salahi, M.; Terlaky, T. 5 2018 Sensitivity analysis in convex quadratic optimization: invariant support set interval. Zbl 1087.90074Hadigheh, Alireza Ghaffari; Terlaky, Tamás 4 2005 An adaptive self-regular proximity-based large-update ipm for lo. Zbl 1087.90085Salahi, Maziar; Terlaky, Tamás 4 2005 A new algorithm for quadratic programming. Zbl 0634.90053Terlaky, Tamás 4 1987 The duality between the perceptron algorithm and the von Neumann algorithm. Zbl 1305.49045Li, Dan; Terlaky, Tamás 4 2013 On the sensitivity of the optimal partition for parametric second-order conic optimization. Zbl 1478.90128Mohammad-Nezhad, Ali; Terlaky, Tamás 1 2021 Mixed-integer second-order cone optimization for composite discrete ply-angle and thickness topology optimization problems. Zbl 1487.74103He, Sicheng; Shahabsafa, Mohammad; Lei, Weiming; Mohammad-Nezhad, Ali; Terlaky, Tamás; Zuluaga, Luis; Martins, Joaquim R. R. A. 1 2021 Parametric analysis of semidefinite optimization. Zbl 1434.90218Mohammad-Nezhad, Ali; Terlaky, Tamás 4 2020 On the identification of the optimal partition for semidefinite optimization. Zbl 1509.90137Mohammad-Nezhad, Ali; Terlaky, Tamás 4 2020 A rounding procedure for semidefinite optimization. Zbl 1476.90234Mohammad-Nezhad, Ali; Terlaky, Tamás 2 2019 Quadratic convergence to the optimal solution of second-order conic optimization without strict complementarity. Zbl 1428.90176Mohammad-Nezhad, Ali; Terlaky, Tamás 1 2019 Minimizing an indefinite quadratic function subject to a single indefinite quadratic constraint. Zbl 1398.90116Fallahi, S.; Salahi, M.; Terlaky, T. 5 2018 On pathological disjunctions and redundant disjunctive conic cuts. Zbl 1476.90211Shahabsafa, Mohammad; Góez, Julio C.; Terlaky, Tamás 2 2018 A complete characterization of disjunctive conic cuts for mixed integer second order cone optimization. Zbl 1387.90184Belotti, Pietro; Góez, Julio C.; Pólik, Imre; Ralphs, Ted K.; Terlaky, Tamás 3 2017 A polynomial primal-dual affine scaling algorithm for symmetric conic optimization. Zbl 1360.90291Mohammad-Nezhad, Ali; Terlaky, Tamás 2 2017 A novel unified approach to invariance conditions for a linear dynamical system. Zbl 1411.37037Horváth, Zoltán; Song, Yunfei; Terlaky, Tamás 1 2017 Advances and trends in optimization with engineering applications. Zbl 1410.90001 1 2017 Invariance conditions for nonlinear dynamical systems. Zbl 1355.93105Horváth, Zoltán; Song, Yunfei; Terlaky, Tamás 2 2016 A conic representation of the convex hull of disjunctive sets and conic cuts for integer second order cone optimization. Zbl 1330.65083Belotti, Pietro; Góez, Julio C.; Pólik, Imre; Ralphs, Ted K.; Terlaky, Tamás 24 2015 Steplength thresholds for invariance preserving of discretization methods of dynamical systems on a polyhedron. Zbl 1336.65125Horváth, Zoltán; Song, Yunfei; Terlaky, Tamás 5 2015 On the identification of the optimal partition of second order cone optimization problems. Zbl 1302.90217Terlaky, Tamás; Wang, Zhouhong 6 2014 On families of quadratic surfaces having fixed intersections with two hyperplanes. Zbl 1288.90052Belotti, Pietro; Góez, Julio C.; Pólik, Imre; Ralphs, Ted K.; Terlaky, Tamás 20 2013 The duality between the perceptron algorithm and the von Neumann algorithm. Zbl 1305.49045Li, Dan; Terlaky, Tamás 4 2013 Modeling and optimization. Theory and applications. Selected contributions from the MOPTA 2012 conference, Bethlehem, PA, USA, July 30 – August 1, 2012. Zbl 1279.90007 1 2013 Multiobjective optimization via parametric optimization: models, algorithms, and applications. Zbl 1327.90292Romanko, Oleksandr; Ghaffari-Hadigheh, Alireza; Terlaky, Tamás 4 2012 Self-regular interior-point methods for semidefinite optimization. Zbl 1334.90115Salahi, Maziar; Terlaky, Tamás 1 2012 Global routing in VLSI design: algorithms, theory, and computational practice. Zbl 1242.68355Deza, Antoine; Dickson, Chris; Terlaky, Tamás; Vannelli, Anthony; Zhang, Hu 1 2012 Convex approximations in stochastic programming by semidefinite programming. Zbl 1254.90137Deák, István; Pólik, Imre; Prékopa, András; Terlaky, Tamás 1 2012 An interior point constraint generation algorithm for semi-infinite optimization with health-care application. Zbl 1235.90167Oskoorouchi, Mohammad R.; Ghaffari, Hamid R.; Terlaky, Tamás; Aleman, Dionne M. 11 2011 A new class of large neighborhood path-following interior point algorithms for semidefinite optimization with \(O(\sqrt{n}\log\frac{\text{Tr}(X^0S^0)}{\varepsilon})\) iteration complexity. Zbl 1228.90072Li, Yang; Terlaky, Tamás 45 2010 A polynomial path-following interior point algorithm for general linear complementarity problems. Zbl 1200.90163Illés, Tibor; Nagy, Marianna; Terlaky, Tamás 20 2010 On the complexity analysis of a Mehrotra-type primal-dual feasible algorithm for semidefinite optimization. Zbl 1220.90082Koulaei, Mohammad H.; Terlaky, Tamás 10 2010 Sensitivity analysis in linear semi-infinite programming via partitions. Zbl 1230.90190Goberna, M. A.; Terlaky, T.; Todorov, M. I. 10 2010 Interior point methods for nonlinear optimization. Zbl 1251.90391Pólik, Imre; Terlaky, Tamás 10 2010 Polynomial interior point algorithms for general linear complementarity problems. Zbl 1277.90133Illés, Tibor; Nagy, Marianna; Terlaky, Tamás 10 2010 Bi-parametric convex quadratic optimization. Zbl 1191.90078Ghaffari-Hadigheh, Alireza; Romanko, Oleksandr; Terlaky, Tamás 3 2010 EP theorem for dual linear complementarity problems. Zbl 1163.90032Illés, T.; Nagy, M.; Terlaky, T. 13 2009 New stopping criteria for detecting infeasibility in conic optimization. Zbl 1167.90586Pólik, Imre; Terlaky, Tamás 12 2009 Central path curvature and iteration-complexity for redundant Klee-Minty cubes. Zbl 1189.90098Deza, Antoine; Terlaky, Tamás; Zinchenko, Yuriy 10 2009 A continuous \(d\)-step conjecture for polytopes. Zbl 1168.52009Deza, Antoine; Terlaky, Tamás; Zinchenko, Yuriy 7 2009 A confidence voting process for ranking problems based on support vector machines. Zbl 1163.91342Jiao, Tianshi; Peng, Jiming; Terlaky, Tamás 3 2009 A hybrid adaptive algorithm for linear optimization. Zbl 1168.90616Salahi, Maziar; Terlaky, Tamás 1 2009 Self-adaptive support vector machines: modelling and experiments. Zbl 1170.68554Du, Peng; Peng, Jiming; Terlaky, Tamás 1 2009 Polytopes and arrangements: diameter and curvature. Zbl 1144.52024Deza, Antoine; Terlaky, Tamás; Zinchenko, Yuriy 12 2008 How good are interior point methods? Klee-Minty cubes tighten iteration-complexity bounds. Zbl 1176.90394Deza, Antoine; Nematollahi, Eissa; Terlaky, Tamás 10 2008 The colourful feasibility problem. Zbl 1151.90487Deza, Antoine; Huang, Sui; Stephen, Tamon; Terlaky, Tamás 7 2008 Bi-parametric optimal partition invariancy sensitivity analysis in linear optimization. Zbl 1152.90525Ghaffari-Hadigheh, Alireza; Ghaffari-Hadigheh, Habib; Terlaky, Tamás 6 2008 Mehrotra-type predictor-corrector algorithm revisited. Zbl 1211.90128Salahi, Maziar; Terlaky, Tamás 5 2008 New complexity analysis of IIPMs for linear optimization based on a specific self-regular function. Zbl 1175.90291Salahi, M.; Peyghami, M. R.; Terlaky, T. 4 2008 A simpler and tighter redundant Klee-Minty construction. Zbl 1279.90112Nematollahi, Eissa; Terlaky, Tamás 2 2008 Diameter and curvature: intriguing analogies. Zbl 1267.52021Deza, Antoine; Terlaky, Tamás; Xie, Feng; Zinchenko, Yuriy 2 2008 Part special issue: 17th EURO mini conference “Continuous optimization in the industry”, Pécs, Hungary, June 29–July 1, 2005. Zbl 1238.90004 1 2008 Packing trees in communication networks. Zbl 1163.90656Saad, Mohamed; Terlaky, Tamás; Vannelli, Anthony; Zhang, Hu 1 2008 A survey of the S-lemma. Zbl 1128.90046Pólik, Imre; Terlaky, Tamás 149 2007 On Mehrotra-type predictor-corrector algorithms. Zbl 1165.90569Salahi, M.; Peng, J.; Terlaky, T. 38 2007 Sensitivity analysis in convex quadratic optimization: simultaneous perturbation of the objective and right-hand-side vectors. Zbl 1206.90187Ghaffari Hadigheh, Alireza; Romanko, Oleksandr; Terlaky, T. 11 2007 Postponing the choice of the barrier parameter in Mehrotra-type predictor-corrector algorithms. Zbl 1121.90091Salahi, Maziar; Terlaky, Tamás 7 2007 Active constraint set invariancy sensitivity analysis in linear optimization. Zbl 1151.90022Hadigheh, A. Ghaffari; Mirnia, K.; Terlaky, T. 5 2007 Magnetic resonance tissue quantification using optimal bSSFP pulse-sequence design. Zbl 1175.78032Anand, Christopher Kumar; Sotirov, Renata; Terlaky, Tamás; Zheng, Zhuo 3 2007 Adaptive large-neighborhood self-regular predictor-corrector interior-point methods for linear optimization. Zbl 1138.90011Salahi, M.; Terlaky, T. 3 2007 Interior point methods for linear optimization. 2nd ed. Zbl 1116.90112Roos, Cornelis; Terlaky, Tamás; Vial, Jean-Philippe 34 2006 Sensitivity analysis in linear optimization: invariant support set intervals. Zbl 1079.90132Hadigheh, Alireza Ghaffari; Terlaky, Tamás 14 2006 Colourful simplicial depth. Zbl 1118.62058Deza, Antoine; Huang, Sui; Stephen, Tamon; Terlaky, Tamas 13 2006 The central path visits all the vertices of the Klee-Minty cube. Zbl 1112.90047Deza, Antoine; Nematollahi, Eissa; Peyghami, Reza; Terlaky, Tamás 6 2006 The complexity of self-regular proximity based infeasible IPMs. Zbl 1111.90074Salahi, Maziar; Terlaky, Tamás; Zhang, Guoqing 6 2006 Generalized support set invariancy sensitivity analysis in linear optimization. Zbl 1151.90488Hadigheh, Alireza Ghaffari; Terlaky, Tamás 5 2006 Sensitivity analysis In linear and convex quadratic optimization: invariant active constraint set and invariant set intervals. Zbl 07682462Hadigheh, Alireza Ghaffari; Mirnia, Kamal; Terlaky, Tamás 2 2006 A nearly analytical discrete method for wave-field simulations in 2D porous media. Zbl 1137.76455Yang, Dinghui; Peng, J.; Lu, M.; Terlaky, T. 1 2006 A predictor-corrector algorithm for linear optimization based on a specific self-regular proximity function. Zbl 1097.90032Peng, Jiming; Terlaky, Tamás; Zhao, Yunbin 16 2005 Interior point and semidefinite approaches in combinatorial optimization. Zbl 1098.90089Krishnan, Kartik; Terlaky, Tamás 6 2005 Sensitivity analysis in convex quadratic optimization: invariant support set interval. Zbl 1087.90074Hadigheh, Alireza Ghaffari; Terlaky, Tamás 4 2005 An adaptive self-regular proximity-based large-update ipm for lo. Zbl 1087.90085Salahi, Maziar; Terlaky, Tamás 4 2005 On routing in VLSI design and communication networks. Zbl 1152.68366Terlaky, Tamás; Vannelli, Anthony; Zhang, Hu 3 2005 Conic formulation for \(l_p\)-norm optimization. Zbl 1092.90060Glineur, F.; Terlaky, T. 13 2004 On implementing a primal-dual interior-point method for conic quadratic optimization. Zbl 1030.90137Andersen, E. D.; Roos, C.; Terlaky, T. 111 2003 Self-regularity: a new paradigm for primal-dual interior-point algorithms. Zbl 1136.90045Peng, Jiming; Roos, Cornelis; Terlaky, Tamás 129 2002 Self-regular functions and new search directions for linear and semidefinite optimization. Zbl 1007.90037Peng, Jiming; Roos, Cornelis; Terlaky, Tamás 123 2002 Primal-dual interior-point methods for second-order conic optimization based on self-regular proximities. Zbl 1041.90072Peng, Jiming; Roos, Cornelis; Terlaky, Tamás 32 2002 Pivot versus interior point methods: Pros and cons. Zbl 1005.90044Illés, Tibor; Terlaky, Tamás 23 2002 A new class of polynomial primal-dual methods for linear and semidefinite optimization. Zbl 1058.90037Peng, Jiming; Roos, Cornelis; Terlaky, Tamás 23 2002 Notes on duality in second order and \(p\)-order cone optimization. Zbl 1040.90047Andersen, E. D.; Roos, C.; Terlaky, T. 17 2002 A dynamic large-update primal-dual interior-point method for linear optimization. Zbl 1032.90019Peng, Jiming; Terlaky, Tamás 4 2002 A new and efficient large-update interior-point method for linear optimization. Zbl 0987.90089Peng, J.; Roos, C.; Terlaky, T. 32 2001 An easy way to teach interior-point methods. Zbl 1068.90614Terlaky, Tamaś 9 2001 New complexity analysis of the primal-dual method for semidefinite optimization based on the Nesterov-Todd direction. Zbl 1009.90081Peng, J.; Roos, C.; Terlaky, T. 5 2001 A scaled Gauss–Newton primal-dual search direction for semidefinite optimization. Zbl 1001.65060de Klerk, E.; Peng, J.; Roos, C.; Terlaky, T. 4 2001 Reloading nuclear reactor fuel using mixed-integer nonlinear optimization. Zbl 1079.90629Quist, Arie J.; Roos, Kees; Terlaky, Tamás; Van Geemert, Rene; Hoogenboom, Eduard 2 2001 A new approach to optimizing energy systems. Zbl 0988.80009van der Lee, Patrick E. A.; Terlaky, Tamás; Woudstra, Theo 1 2001 On copositive programming and standard quadratic optimization problems. Zbl 0970.90057Bomze, Immanuel M.; Dür, Mirjam; de Klerk, Etienne; Roos, Cornelis; Quist, Arie J.; Terlaky, Tamás 82 2000 New complexity analysis of the primal-dual Newton method for linear optimization. Zbl 0990.90065Peng, J.; Roos, C.; Terlaky, T. 21 2000 A strongly polynomial rounding procedure yielding a maximally complementary solution for \(P_*(\kappa)\) linear complementarity problems. Zbl 1010.90082Illés, Tibor; Peng, Jiming; Roos, Cornelis; Terlaky, Tamás 19 2000 Self-dual embeddings. Zbl 0957.90526de Klerk, Etienne; Terlaky, Tamás; Roos, Kees 11 2000 On the existence of a short admissible pivot sequence for feasibility and linear optimization problems. Zbl 1052.90100Fukuda, Komei; Terlaky, Tamás 6 2000 New complexity analysis of primal-dual Newton methods for \(P_* (\kappa)\) linear complementarity problems. Zbl 0972.90081Peng, Jiming; Roos, Cornelis; Terlaky, Tamás 1 2000 On maximization of quadratic form over intersection of ellipsoids with common center. Zbl 0944.90056Nemirovski, A.; Roos, C.; Terlaky, T. 42 1999 Basis- and partition identification for quadratic programming and linear complementarity problems. Zbl 0946.90091Berkelaar, Arjan B.; Jansen, Benjamin; Roos, Kees; Terlaky, Tamás 7 1999 Complexity analysis of logarithmic barrier decomposition methods for semi-infinite linear programming. Zbl 0948.90137Luo, Zhi-Quan; Roos, C.; Terlaky, T. 6 1999 The finite criss-cross method for hyperbolic programming. Zbl 0953.90055Illés, Tibor; Szirmai, Ákos; Terlaky, Tamás 4 1999 Note on a paper of Broyden. Zbl 0937.90063Roos, Cornelis; Terlaky, Tamás 4 1999 A note on Mascarenhas’ counterexample about global convergence of the affine scaling algorithm. Zbl 0937.90065Terlaky, T.; Tsuchiya, T. 3 1999 Copositive relaxation for general quadratic programming. Zbl 0904.90126Quist, A. J.; de Klerk, E.; Roos, C.; Terlaky, T. 23 1998 Infeasible-start semidefinite programming algorithms via self-dual embeddings. Zbl 0905.90155de Klerk, E.; Roos, C.; Terlaky, T. 22 1998 Computing maximum likelihood estimators of convex density functions. Zbl 0909.90246Terlaky, T.; Vial, J.-Ph. 5 1998 On the dimension of the set of rim perturbations for optimal partition invariance. Zbl 1032.90522Greenberg, Harvey J.; Holder, Allen G.; Roos, Kees; Terlaky, Tamás 4 1998 Polynomial primal-dual affine scaling algorithms in semidefinite programming. Zbl 0911.90252de Klerk, E.; Roos, C.; Terlaky, T. 3 1998 ...and 62 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,617 Authors 87 Terlaky, Tamás 46 Kheirfam, Behrouz 38 Roos, Cornelis 31 Wang, Guoqiang 29 Bai, Yanqin 22 Illés, Tibor 20 Bomze, Immanuel M. 20 Liu, Hongwei 20 Salahi, Maziar 19 Xia, Yong 18 Peyghami, Mohammad Reza 18 Zhang, Shuzhong 17 Chen, Jein-Shan 15 Darvay, Zsolt 15 Mansouri, Hossein 15 Zangiabadi, Maryam 14 Zhang, Mingwang 12 Deza, Antoine 12 Jeyakumar, Vaithilingam 12 Liu, Changhe 11 Achache, Mohamed 11 Gondzio, Jacek 10 den Hertog, Dick 10 Fang, Shu-Cherng 10 Fukuda, Komei 10 Li, Duan 10 Pan, Shaohua 10 Wolkowicz, Henry 9 Cho, Gyeong-Mi 9 De Loera, Jesús A. 9 El Ghami, Mohamed 9 Li, Guoyin 9 Sheu, Ruey-Lin 8 Krabbenhøft, Kristian 8 Nezhad, Ali Mohammad 8 Pan, Ping-Qi 8 Samaras, Nikolaos 8 Sturm, Jos F. 8 Sun, Jie 8 Yang, Ximei 8 Yang, Yaguang 8 Ye, Yinyu 7 Asadi, Soodabeh 7 Burer, Samuel 7 de Klerk, Etienne 7 Fang, Liang 7 Ghaffari Hadigheh, Alireza 7 Jansen, Benjamin 7 Kılınç Karzan, Fatma 7 Klafszky, Emil 7 Lesaja, Goran 7 Mitchell, John E. 7 Pirhaji, Mohammad 7 Rigó, Petra Renáta 7 Yassine, Adnan 6 Allamigeon, Xavier 6 Anstreicher, Kurt M. 6 Benterki, Djamel 6 Cai, Xinzhong 6 Dür, Mirjam 6 Goberna, Miguel Angel 6 Huang, Zhengwei 6 Jarre, Florian 6 Júdice, Joaquim João 6 Le Van Canh 6 Lee, Gue Myung 6 Mahdavi-Amiri, Nezam 6 Muramatsu, Masakazu 6 Nguyen-Xuan, Hung 6 Paparrizos, Konstantinos 6 Peng, Jiming 6 Qi, Liqun 6 Stephen, Tamon 6 Tang, Jingyong 6 Xing, Wenxun 6 Yu, Bo 5 Amini, Keyvan 5 Anjos, Miguel F. 5 Atamtürk, Alper 5 Bouafia, Mousaab 5 Caron, Richard J. 5 Csizmadia, Zsolt 5 Deng, Zhibin 5 Dong, Li 5 Gaubert, Stéphane 5 Gómez, Andrés 5 Hladík, Milan 5 Ke, Yifen 5 Krokhmal, Pavlo A. 5 López-Cerdá, Marco Antonio 5 Lourenço, Bruno F. 5 Makrodimopoulos, Athanasios 5 Nemirovski, Arkadi S. 5 Obuchowska, Wiesława T. 5 Pataki, Gábor 5 Pólik, Imre 5 Potra, Florian-Alexandru 5 Toh, Kim Chuan 5 Tsuchiya, Takashi 5 Vial, Jean-Philippe ...and 1,517 more Authors all top 5 Cited in 222 Serials 120 Mathematical Programming. 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Yugoslav Journal of Operations Research 2 Automation and Remote Control 2 Communications in Numerical Methods in Engineering 2 Filomat 2 Journal of Convex Analysis 2 Foundations of Computational Mathematics 2 Journal of Applied Mathematics 2 Journal of Machine Learning Research (JMLR) 2 Acta Numerica 2 Oberwolfach Reports 2 Proceedings of the Steklov Institute of Mathematics 2 Nonlinear Analysis. Hybrid Systems 2 Science China. Mathematics ...and 122 more Serials all top 5 Cited in 47 Fields 1,208 Operations research, mathematical programming (90-XX) 226 Numerical analysis (65-XX) 82 Calculus of variations and optimal control; optimization (49-XX) 58 Convex and discrete geometry (52-XX) 52 Linear and multilinear algebra; matrix theory (15-XX) 50 Computer science (68-XX) 44 Combinatorics (05-XX) 39 Mechanics of deformable solids (74-XX) 36 Systems theory; control (93-XX) 34 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 28 Statistics (62-XX) 18 Algebraic geometry (14-XX) 17 Functional analysis (46-XX) 13 Probability theory and stochastic processes (60-XX) 10 Number theory (11-XX) 8 Information and communication theory, circuits (94-XX) 7 Real functions (26-XX) 7 Operator theory (47-XX) 7 Biology and other natural sciences (92-XX) 6 Commutative algebra (13-XX) 5 General and overarching topics; collections (00-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Quantum theory (81-XX) 4 Ordinary differential equations (34-XX) 4 Partial differential equations (35-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Fluid mechanics (76-XX) 3 Field theory and polynomials (12-XX) 3 Nonassociative rings and algebras (17-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 2 Mathematics education (97-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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