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## Güler, Osman

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 Author ID: guler.osman Published as: Güler, O.; Güler, Osman
 Documents Indexed: 23 Publications since 1991, including 1 Book
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#### Co-Authors

 13 single-authored 2 Gurtuna, Filiz 2 Roos, Cornelis 2 Terlaky, Tamás 2 Ye, Yinyu 1 Bauschke, Heinz H. 1 den Hertog, Dick 1 Hauser, Raphael Andreas 1 Hoffman, Alan J. 1 Lewis, Adrian S. 1 Rothblum, Uriel George 1 Sendov, Hristo S. 1 Shevchenko, Olena 1 Tapia, Richard A. 1 Tsuchiya, Takashi 1 Tunçel, Levent 1 Vial, Jean-Philippe 1 Zhang, Yin
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#### Serials

 4 Mathematics of Operations Research 4 Mathematical Programming. Series A. Series B 3 Optimization Methods & Software 2 SIAM Journal on Optimization 1 Canadian Journal of Mathematics 1 Journal of Optimization Theory and Applications 1 Management Science 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Matrix Analysis and Applications 1 Annals of Operations Research 1 Foundations of Computational Mathematics 1 Graduate Texts in Mathematics
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#### Fields

 23 Operations research, mathematical programming (90-XX) 6 Convex and discrete geometry (52-XX) 3 Numerical analysis (65-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 General topology (54-XX)

#### Citations contained in zbMATH

23 Publications have been cited 723 times in 647 Documents Cited by Year
On the convergence of the proximal point algorithm for convex minmization. Zbl 0737.90047
Güler, Osman
1991
Barrier functions in interior point methods. Zbl 0867.90090
Güler, Osman
1996
New proximal point algorithms for convex minimization. Zbl 0778.90052
Güler, Osman
1992
A quadratically convergent $$O(\sqrt n\;L)$$-iteration algorithm for linear programming. Zbl 0778.90037
Ye, Y.; Güler, O.; Tapia, R. A.; Zhang, Y.
1993
Convergence behavior of interior-point algorithms. Zbl 0803.90087
Güler, Osman; Ye, Yinyu
1993
Hyperbolic polynomials and interior point methods for convex programming. Zbl 0883.90099
Güler, Osman
1997
Hyperbolic polynomials and convex analysis. Zbl 0974.90015
Bauschke, Heinz H.; Güler, Osman; Lewis, Adrian S.; Sendov, Hristo S.
2001
Foundations of optimization. Zbl 1220.90001
Güler, Osman
2010
Existence of interior points and interior paths in nonlinear monotone complementarity problems. Zbl 0816.90125
Güler, Osman
1993
Characterization of the barrier parameter of homogeneous convex cones. Zbl 0919.90124
Güler, Osman; Tunçel, Levent
1998
Degeneracy in interior point methods for linear programming: A survey. Zbl 0785.90067
Güler, O.; den Hertog, D.; Roos, C.; Terlaky, T.; Tsuchiya, T.
1993
Generalized linear complementarity problems. Zbl 0837.90113
Güler, Osman
1995
Limiting behavior of weighted central paths in linear programming. Zbl 0841.90089
Güler, Osman
1994
Approximations to solutions to systems of linear inequalities. Zbl 0830.15016
Güler, Osman; Hoffman, Alan J.; Rothblum, Uriel G.
1995
Self-scaled barrier functions on symmetric cones and their classification. Zbl 1027.90066
Hauser, Raphael A.; Güler, Osman
2002
On the self-concordance of the universal barrier function. Zbl 0872.90071
Güler, Osman
1997
Augmented Lagrangian algorithms for linear programming. Zbl 0797.90061
Güler, O.
1992
Duality in quasi-Newton methods and new variational characterizations of the DFP and BFGS updates. Zbl 1154.90624
Güler, Osman; Gürtuna, Filiz; Shevchenko, Olena
2009
A survey of the implications of the behavior of the central path for the duality theory of linear programming. Zbl 0852.90106
Güler, O.; Roos, C.; Terlaky, T.; Vial, J.-Ph.
1995
Ergodic convergence in proximal point algorithms with Bregman functions. Zbl 0828.90103
Güler, Osman
1994
Symmetry of convex sets and its applications to the extremal ellipsoids of convex bodies. Zbl 1279.90174
Güler, Osman; Gürtuna, Filiz
2012
Convergence rate estimates for the gradient differential inclusion. Zbl 1141.90027
Güler, Osman
2005
Complexity of smooth convex programming and its applications. Zbl 0968.90522
Güler, Osman
1993
Symmetry of convex sets and its applications to the extremal ellipsoids of convex bodies. Zbl 1279.90174
Güler, Osman; Gürtuna, Filiz
2012
Foundations of optimization. Zbl 1220.90001
Güler, Osman
2010
Duality in quasi-Newton methods and new variational characterizations of the DFP and BFGS updates. Zbl 1154.90624
Güler, Osman; Gürtuna, Filiz; Shevchenko, Olena
2009
Convergence rate estimates for the gradient differential inclusion. Zbl 1141.90027
Güler, Osman
2005
Self-scaled barrier functions on symmetric cones and their classification. Zbl 1027.90066
Hauser, Raphael A.; Güler, Osman
2002
Hyperbolic polynomials and convex analysis. Zbl 0974.90015
Bauschke, Heinz H.; Güler, Osman; Lewis, Adrian S.; Sendov, Hristo S.
2001
Characterization of the barrier parameter of homogeneous convex cones. Zbl 0919.90124
Güler, Osman; Tunçel, Levent
1998
Hyperbolic polynomials and interior point methods for convex programming. Zbl 0883.90099
Güler, Osman
1997
On the self-concordance of the universal barrier function. Zbl 0872.90071
Güler, Osman
1997
Barrier functions in interior point methods. Zbl 0867.90090
Güler, Osman
1996
Generalized linear complementarity problems. Zbl 0837.90113
Güler, Osman
1995
Approximations to solutions to systems of linear inequalities. Zbl 0830.15016
Güler, Osman; Hoffman, Alan J.; Rothblum, Uriel G.
1995
A survey of the implications of the behavior of the central path for the duality theory of linear programming. Zbl 0852.90106
Güler, O.; Roos, C.; Terlaky, T.; Vial, J.-Ph.
1995
Limiting behavior of weighted central paths in linear programming. Zbl 0841.90089
Güler, Osman
1994
Ergodic convergence in proximal point algorithms with Bregman functions. Zbl 0828.90103
Güler, Osman
1994
A quadratically convergent $$O(\sqrt n\;L)$$-iteration algorithm for linear programming. Zbl 0778.90037
Ye, Y.; Güler, O.; Tapia, R. A.; Zhang, Y.
1993
Convergence behavior of interior-point algorithms. Zbl 0803.90087
Güler, Osman; Ye, Yinyu
1993
Existence of interior points and interior paths in nonlinear monotone complementarity problems. Zbl 0816.90125
Güler, Osman
1993
Degeneracy in interior point methods for linear programming: A survey. Zbl 0785.90067
Güler, O.; den Hertog, D.; Roos, C.; Terlaky, T.; Tsuchiya, T.
1993
Complexity of smooth convex programming and its applications. Zbl 0968.90522
Güler, Osman
1993
New proximal point algorithms for convex minimization. Zbl 0778.90052
Güler, Osman
1992
Augmented Lagrangian algorithms for linear programming. Zbl 0797.90061
Güler, O.
1992
On the convergence of the proximal point algorithm for convex minmization. Zbl 0737.90047
Güler, Osman
1991
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#### Cited by 807 Authors

 26 Yao, Jen-Chih 16 Ye, Yinyu 13 Potra, Florian-Alexandru 11 Ceng, Lu-Chuan 11 Cholamjiak, Prasit 11 Yuan, Xiaoming 10 Khatibzadeh, Hadi 10 Liu, Hongwei 10 Trương Minh Tuyên 10 Tunçel, Levent 9 Xu, Hong-Kun 9 Zangiabadi, Maryam 8 Chang, Shih-Sen 8 Yang, Ximei 7 Bauschke, Heinz H. 7 Kheirfam, Behrouz 7 Lesaja, Goran 7 Liu, Changhe 7 Roubi, Ahmed 7 Terlaky, Tamás 7 Wang, Fenghui 6 Asadi, Soodabeh 6 Attouch, Hedy 6 Chidume, Charles Ejike 6 Cho, Yeol Je 6 Darvay, Zsolt 6 Güler, Osman 6 He, Bingsheng 6 Kummer, Mario Denis 6 Mansouri, Hossein 6 Qin, Xiaolong 6 Reich, Simeon 6 Shehu, Yekini 6 Wen, Chingfeng 6 Zhao, Gongyun 5 Ansari, Qamrul Hasan 5 Bnouhachem, Abdellah 5 Chen, Jein-Shan 5 Gowda, Muddappa Seetharama 5 Kumam, Poom 5 López Acedo, Genaro 5 Monteiro, Renato D. C. 5 Noor, Muhammad Aslam 5 Peypouquet, Juan 5 Phuengrattana, Withun 5 Seeger, Alberto 5 Suantai, Suthep 5 Svaiter, Benar Fux 5 Zegeye, Habtu 5 Zhang, Yinkui 4 Boikanyo, Oganeditse Aaron 4 Chambolle, Antonin 4 Chbani, Zaki 4 Chen, Zhe 4 Cui, Huanhuan 4 Hildebrand, Roland 4 Jolaoso, Lateef Olakunle 4 Kang, Shin Min 4 Kim, Jong Kyu 4 Li, Chong 4 Luo, Zhi-Quan 4 Matsushita, Shinya 4 Mewomo, Oluwatosin Temitope 4 Petra, Cosmin G. 4 Polyak, Roman A. 4 Ranjbar, Sajad 4 Roos, Cornelis 4 Sahu, Daya Ram 4 Shahzad, Naseer 4 Sim, Chee-Khian 4 Todd, Michael J. 4 Torki, Mounir 4 Wang, Guoqiang 4 Wang, Jinhua 4 Xu, Li 4 Yang, Li 3 Bai, Yanqin 3 Bello Cruz, Jose Yunier 3 Brady, Richard Lee 3 Brändén, Petter 3 Buong, Nguyen 3 Chambers, Christopher P. 3 Cheng, Lizhi 3 Cho, Sun Young 3 Combettes, Patrick L. 3 da Cruz Neto, João Xavier 3 Djafari Rouhani, Behzad 3 Dossal, Charles 3 El Haffari, Mostafa 3 Holder, Allen G. 3 Huang, Zheng-Hai 3 Iusem, Alfredo Noel 3 Izuchukwu, Chinedu 3 Kohsaka, Fumiaki 3 Lasserre, Jean-Bernard 3 Le, Thanh Hieu 3 Mahdavi-Amiri, Nezam 3 Mansouri, Hossien 3 Mehrotra, Sanjay 3 Mohebbi, Vahid ...and 707 more Authors
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#### Cited in 145 Serials

 67 Mathematical Programming. Series A. Series B 57 Journal of Optimization Theory and Applications 37 Optimization 32 Fixed Point Theory and Applications 26 Computational Optimization and Applications 23 Optimization Methods & Software 22 Journal of Global Optimization 18 SIAM Journal on Optimization 16 Optimization Letters 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Numerical Functional Analysis and Optimization 13 European Journal of Operational Research 13 Linear Algebra and its Applications 12 Applied Mathematics and Computation 12 Operations Research Letters 12 Journal of Inequalities and Applications 11 Journal of Computational and Applied Mathematics 10 Annals of Operations Research 9 Numerical Algorithms 9 Journal of Fixed Point Theory and Applications 8 Journal of Mathematical Analysis and Applications 7 Abstract and Applied Analysis 5 Computers & Mathematics with Applications 5 Journal of Nonlinear Science and Applications 5 Set-Valued and Variational Analysis 5 Journal of the Operations Research Society of China 4 Proceedings of the American Mathematical Society 4 Acta Mathematicae Applicatae Sinica. English Series 4 Vietnam Journal of Mathematics 4 Mediterranean Journal of Mathematics 4 Afrika Matematika 4 Numerical Algebra, Control and Optimization 3 Beiträge zur Algebra und Geometrie 3 Advances in Mathematics 3 Automatica 3 Mathematics of Operations Research 3 Applied Numerical Mathematics 3 Journal of Scientific Computing 3 International Journal of Computer Mathematics 3 Acta Mathematica Sinica. English Series 3 Journal of Applied Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Mathematical Programming Computation 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Israel Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Acta Mathematica Vietnamica 2 Applied Mathematics and Optimization 2 Kybernetika 2 Acta Applicandae Mathematicae 2 Social Choice and Welfare 2 Journal of Complexity 2 Discrete & Computational Geometry 2 Asia-Pacific Journal of Operational Research 2 Applied Mathematics Letters 2 Computational Geometry 2 The Journal of Geometric Analysis 2 Applications of Mathematics 2 Journal of Mathematical Imaging and Vision 2 Top 2 RAIRO. Operations Research 2 Foundations of Computational Mathematics 2 Journal of Machine Learning Research (JMLR) 2 Journal of Applied Mathematics and Computing 2 Thai Journal of Mathematics 2 Acta Numerica 2 Journal of Industrial and Management Optimization 1 Applicable Analysis 1 Communications on Pure and Applied Mathematics 1 Discrete Applied Mathematics 1 Linear and Multilinear Algebra 1 Periodica Mathematica Hungarica 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 BIT 1 Calcolo 1 Commentarii Mathematici Helvetici 1 Journal of Approximation Theory 1 Journal of Computer and System Sciences 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal of Mathematical Economics 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Networks 1 Numerische Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Statistica Neerlandica 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Journal of Information & Optimization Sciences 1 Applied Mathematics and Mechanics. (English Edition) 1 Bulletin of the Iranian Mathematical Society 1 Statistical Science ...and 45 more Serials
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#### Cited in 42 Fields

 437 Operations research, mathematical programming (90-XX) 175 Operator theory (47-XX) 132 Numerical analysis (65-XX) 106 Calculus of variations and optimal control; optimization (49-XX) 32 Convex and discrete geometry (52-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 17 Functional analysis (46-XX) 16 Algebraic geometry (14-XX) 16 Computer science (68-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Ordinary differential equations (34-XX) 10 General topology (54-XX) 8 Partial differential equations (35-XX) 7 Combinatorics (05-XX) 7 Nonassociative rings and algebras (17-XX) 7 Real functions (26-XX) 7 Differential geometry (53-XX) 7 Statistics (62-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Systems theory; control (93-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Information and communication theory, circuits (94-XX) 4 Functions of a complex variable (30-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Probability theory and stochastic processes (60-XX) 3 Field theory and polynomials (12-XX) 3 Geometry (51-XX) 2 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)