Edit Profile (opens in new tab) Mifflin, Robert Compute Distance To: Compute Author ID: mifflin.robert Published as: Mifflin, Robert; Mifflin, R. Documents Indexed: 40 Publications since 1972, including 2 Books 1 Contribution as Editor Co-Authors: 5 Co-Authors with 7 Joint Publications 307 Co-Co-Authors Co-Authors 23 single-authored 3 Strodiot, Jean-Jacques 2 Lemaréchal, Claude 2 Qi, Liqun 2 Sun, Defeng 1 Nguyen, Van Hien all top 5 Serials 6 Mathematical Programming 6 Mathematical Programming. Series A. Series B 3 SIAM Journal on Optimization 2 Mathematics of Operations Research 2 Mathematical Programming Study 2 Journal of Convex Analysis 1 Journal of Optimization Theory and Applications 1 Operations Research 1 SIAM Journal on Control and Optimization 1 Utilitas Mathematica 1 European Journal of Operational Research 1 Documenta Mathematica 1 Optimization Methods & Software all top 5 Fields 40 Operations research, mathematical programming (90-XX) 25 Numerical analysis (65-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 854 times in 633 Documents Cited by ▼ Year ▼ Semismooth and semiconvex functions in constrained optimization. Zbl 0376.90081Mifflin, Robert 395 1977 An algorithm for constrained optimization with semismooth functions. Zbl 0395.90069Mifflin, Robert 72 1977 A modification and an extension of Lemarechal’s algorithm for nonsmooth minimization. Zbl 0476.65047Mifflin, Robert 60 1982 A \(\mathcal{VU}\)-algorithm for convex minimization. Zbl 1085.65051Mifflin, Robert; Sagastizábal, Claudia 41 2005 \({\mathcal V}{\mathcal U}\)-smoothness and proximal point results for some nonconvex functions. Zbl 1097.90059Mifflin, Robert; Sagastizábal, Claudia 24 2004 On \(\mathcal{VU}\)-theory for functions with primal-dual gradient structure. Zbl 1015.90084Mifflin, Robert; Sagastizábal, Claudia 23 2000 Primal-dual gradient structured functions: second-order results; links to epi-derivatives and partly smooth functions. Zbl 1036.90067Mifflin, Robert; Sagastizábal, Claudia 23 2003 Quasi-Newton bundle-type methods for nondifferentiable convex optimization. Zbl 0927.65074Mifflin, Robert; Sun, Defeng; Qi, Liqun 20 1998 On conditions to have bounded multipliers in locally Lipschitz programming. Zbl 0437.90075Nguyen, V. Hien; Strodiot, J.-J.; Mifflin, R. 19 1980 Global and superlinear convergence of an algorithm for one-dimensional minimization of convex functions. Zbl 0505.90064Lemarechal, C.; Mifflin, R. 19 1982 A quasi-second-order proximal bundle algorithm. Zbl 0848.90100Mifflin, Robert 18 1996 Proximal points are on the fast track. Zbl 1037.49031Mifflin, Robert; Sagastizábal, Claudia 18 2002 A stable method for solving certain constrained least squares problems. Zbl 0407.90065Mifflin, Robert 14 1979 \({\mathcal V}{\mathcal U}\)-decomposition derivatives for convex max-functions. Zbl 0944.65069Mifflin, Robert; Sagastizábal, Claudia 13 1999 A superlinearly convergent algorithm for minimization without evaluating derivatives. Zbl 0327.90027Mifflin, Robert 11 1975 Stationarity and superlinear convergence of an algorithm for univariate locally Lipschitz constrained minimization. Zbl 0528.49024Mifflin, Robert 9 1984 Properties of the Moreau-Yosida regularization of a piecewise \(C^2\) convex function. Zbl 0971.90082Mifflin, Robert; Qi, Liqun; Sun, Defeng 7 1999 Functions with primal-dual gradient structure and \(\mathcal U\)-Hessians. Zbl 1138.90482Mifflin, Robert; Sagastizábal, Claudia 7 2000 Better than linear convergence and safeguarding in nonsmooth minimization. Zbl 0548.90059Mifflin, Robert 6 1984 Convergence bounds for nonlinear programming algorithms. Zbl 0326.90055Mifflin, Robert 5 1975 A superlinearly convergent algorithm for one-dimensional constrained minimization problems with convex functions. Zbl 0514.90070Mifflin, Robert 4 1983 On superlinear convergence in univariate nonsmooth minimization. Zbl 0719.90073Mifflin, Robert 4 1990 A science fiction story in nonsmooth optimization originating at IIASA. Zbl 1264.01016Mifflin, Robert; Sagastizábal, Claudia 4 2012 Subproblem and overall convergence for a method-of-centers algorithm. Zbl 0322.90050Mifflin, Robert 4 1975 Nonsmooth optimization. Proceedings of a IIASA workshop, March 28 - April 8, 1977. Zbl 0391.00019 3 1978 A bracketing technique to ensure desirable convergence in univariate minimization. Zbl 0663.90078Mifflin, Robert; Strodiot, J.-J. 3 1989 A rapidly convergent five-point algorithm for univariate minimization. Zbl 0836.90136Mifflin, Robert; Strodiot, J.-J. 3 1993 On the convergence of the logarithmic barrier function method. Zbl 0268.90060Mifflin, R. 3 1972 Rates of convergence for a method of centers algorithm. Zbl 0299.65036Mifflin, R. 3 1976 An algorithm for constrained optimization with semismooth functions. Zbl 0364.90092Mifflin, R. 3 1977 A feasible descent algorithm for linearly constrained least squares problems. Zbl 0404.90068Mifflin, Robert 2 1978 Convergence of a modification of Lemarechal’s algorithm for nonsmooth optimization. Zbl 0502.65039Mifflin, Robert 2 1982 On the relation between \(\mathcal U\)-Hessians and second-order epi-derivatives. Zbl 1106.49026Mifflin, Robert; Sagastizábal, Claudia 2 2004 An implementation of an algorithm for univariate minimization and an application to nested optimization. Zbl 0636.90078Mifflin, Robert 2 1987 Relating \(\mathcal U\)-Lagrangians to second-order epi-derivates and proximal-tracks. Zbl 1096.90042Mifflin, Robert; Sagastizábal, Claudia 2 2005 Semismooth and semiconvex functions in constrained optimization. Zbl 0364.90091Mifflin, Robert 2 1976 A modification and an extension of Lemarechal’s algorithm for nonsmooth minimization. Zbl 0471.65039Mifflin, Robert 1 1982 Some applications of and a method for nonsmooth optimization. Zbl 0465.90076Mifflin, Robert 1 1980 The solution of a nested nonsmooth optimization problem. Zbl 0577.90076Mifflin, Robert 1 1985 Ideas for developing a rapidly convergent algorithm for nonsmooth minimization. Zbl 1050.90554Mifflin, R. 1 1992 A science fiction story in nonsmooth optimization originating at IIASA. Zbl 1264.01016Mifflin, Robert; Sagastizábal, Claudia 4 2012 A \(\mathcal{VU}\)-algorithm for convex minimization. Zbl 1085.65051Mifflin, Robert; Sagastizábal, Claudia 41 2005 Relating \(\mathcal U\)-Lagrangians to second-order epi-derivates and proximal-tracks. Zbl 1096.90042Mifflin, Robert; Sagastizábal, Claudia 2 2005 \({\mathcal V}{\mathcal U}\)-smoothness and proximal point results for some nonconvex functions. Zbl 1097.90059Mifflin, Robert; Sagastizábal, Claudia 24 2004 On the relation between \(\mathcal U\)-Hessians and second-order epi-derivatives. Zbl 1106.49026Mifflin, Robert; Sagastizábal, Claudia 2 2004 Primal-dual gradient structured functions: second-order results; links to epi-derivatives and partly smooth functions. Zbl 1036.90067Mifflin, Robert; Sagastizábal, Claudia 23 2003 Proximal points are on the fast track. Zbl 1037.49031Mifflin, Robert; Sagastizábal, Claudia 18 2002 On \(\mathcal{VU}\)-theory for functions with primal-dual gradient structure. Zbl 1015.90084Mifflin, Robert; Sagastizábal, Claudia 23 2000 Functions with primal-dual gradient structure and \(\mathcal U\)-Hessians. Zbl 1138.90482Mifflin, Robert; Sagastizábal, Claudia 7 2000 \({\mathcal V}{\mathcal U}\)-decomposition derivatives for convex max-functions. Zbl 0944.65069Mifflin, Robert; Sagastizábal, Claudia 13 1999 Properties of the Moreau-Yosida regularization of a piecewise \(C^2\) convex function. Zbl 0971.90082Mifflin, Robert; Qi, Liqun; Sun, Defeng 7 1999 Quasi-Newton bundle-type methods for nondifferentiable convex optimization. Zbl 0927.65074Mifflin, Robert; Sun, Defeng; Qi, Liqun 20 1998 A quasi-second-order proximal bundle algorithm. Zbl 0848.90100Mifflin, Robert 18 1996 A rapidly convergent five-point algorithm for univariate minimization. Zbl 0836.90136Mifflin, Robert; Strodiot, J.-J. 3 1993 Ideas for developing a rapidly convergent algorithm for nonsmooth minimization. Zbl 1050.90554Mifflin, R. 1 1992 On superlinear convergence in univariate nonsmooth minimization. Zbl 0719.90073Mifflin, Robert 4 1990 A bracketing technique to ensure desirable convergence in univariate minimization. Zbl 0663.90078Mifflin, Robert; Strodiot, J.-J. 3 1989 An implementation of an algorithm for univariate minimization and an application to nested optimization. Zbl 0636.90078Mifflin, Robert 2 1987 The solution of a nested nonsmooth optimization problem. Zbl 0577.90076Mifflin, Robert 1 1985 Stationarity and superlinear convergence of an algorithm for univariate locally Lipschitz constrained minimization. Zbl 0528.49024Mifflin, Robert 9 1984 Better than linear convergence and safeguarding in nonsmooth minimization. Zbl 0548.90059Mifflin, Robert 6 1984 A superlinearly convergent algorithm for one-dimensional constrained minimization problems with convex functions. Zbl 0514.90070Mifflin, Robert 4 1983 A modification and an extension of Lemarechal’s algorithm for nonsmooth minimization. Zbl 0476.65047Mifflin, Robert 60 1982 Global and superlinear convergence of an algorithm for one-dimensional minimization of convex functions. Zbl 0505.90064Lemarechal, C.; Mifflin, R. 19 1982 Convergence of a modification of Lemarechal’s algorithm for nonsmooth optimization. Zbl 0502.65039Mifflin, Robert 2 1982 A modification and an extension of Lemarechal’s algorithm for nonsmooth minimization. Zbl 0471.65039Mifflin, Robert 1 1982 On conditions to have bounded multipliers in locally Lipschitz programming. Zbl 0437.90075Nguyen, V. Hien; Strodiot, J.-J.; Mifflin, R. 19 1980 Some applications of and a method for nonsmooth optimization. Zbl 0465.90076Mifflin, Robert 1 1980 A stable method for solving certain constrained least squares problems. Zbl 0407.90065Mifflin, Robert 14 1979 Nonsmooth optimization. Proceedings of a IIASA workshop, March 28 - April 8, 1977. Zbl 0391.00019 3 1978 A feasible descent algorithm for linearly constrained least squares problems. Zbl 0404.90068Mifflin, Robert 2 1978 Semismooth and semiconvex functions in constrained optimization. Zbl 0376.90081Mifflin, Robert 395 1977 An algorithm for constrained optimization with semismooth functions. Zbl 0395.90069Mifflin, Robert 72 1977 An algorithm for constrained optimization with semismooth functions. Zbl 0364.90092Mifflin, R. 3 1977 Rates of convergence for a method of centers algorithm. Zbl 0299.65036Mifflin, R. 3 1976 Semismooth and semiconvex functions in constrained optimization. Zbl 0364.90091Mifflin, Robert 2 1976 A superlinearly convergent algorithm for minimization without evaluating derivatives. Zbl 0327.90027Mifflin, Robert 11 1975 Convergence bounds for nonlinear programming algorithms. Zbl 0326.90055Mifflin, Robert 5 1975 Subproblem and overall convergence for a method-of-centers algorithm. Zbl 0322.90050Mifflin, Robert 4 1975 On the convergence of the logarithmic barrier function method. Zbl 0268.90060Mifflin, R. 3 1972 all cited Publications top 5 cited Publications all top 5 Cited by 656 Authors 27 Qi, Liqun 21 Pang, Liping 19 Zhang, Liwei 16 Sun, Defeng 15 Bagirov, Adil M. 14 Chiou, Suh-Wen 13 Liu, Sanyang 12 Gaudioso, Manlio 12 Śmietański, Marek J. 11 Fang, Liang 11 Ma, Changfeng 11 Toh, Kim Chuan 11 Xia, Zunquan 10 Kiwiel, Krzysztof Czesław 9 Chen, Jein-Shan 9 Hare, Warren L. 9 Huang, Ming 9 Huang, Zheng-Hai 9 Mifflin, Robert 9 Tang, Jingyong 9 Zhou, Jinchuan 8 Karmitsa, Napsu 8 Ling, Chen 8 Lu, Yuan 8 Outrata, Jiří V. 7 Chaney, Robin W. 7 Dong, Li 7 Lemaréchal, Claude 7 Lewis, Adrian S. 7 Mäkelä, Marko Mikael 7 Tawhid, Mohamed Aly 7 Wang, Wei 7 Zhu, Jianguang 6 Chi, Xiaoni 6 Facchinei, Francisco 6 Liang, Xijun 6 Liu, Hongwei 6 Sagastizábal, Claudia A. 6 Solodov, Mikhail V. 6 Son, Ta Quang 6 Xiu, Naihua 6 Zhang, Jianzhong 6 Zhang, Liping 5 Daniilidis, Aris 5 Fuduli, Antonio 5 Fukushima, Masao 5 Liu, Zhenhua 5 Movahedian, Nooshin 5 Noll, Dominikus 5 Polak, Elijah (Lucien) 5 Shen, Jie 5 Strodiot, Jean-Jacques 5 Yin, Hongxia 5 Zhang, Xiangsong 4 Drusvyatskiy, Dmitriy 4 Gao, Yan 4 Giallombardo, Giovanni 4 Griewank, Andreas 4 Hao, Binbin 4 Hintermüller, Michael 4 Kong, Lingchen 4 Kunisch, Karl 4 Liu, Yong-Jin 4 Lucidi, Stefano 4 Mahdavi-Amiri, Nezam 4 Meng, Fanwen 4 Miglionico, Giovanna 4 Nobakhtian, Soghra 4 Pang, Jong-Shi 4 Planiden, Chayne 4 Ruszczyński, Andrzej 4 Sherali, Hanif D. 4 Sun, Jie 4 Walther, Andrea 4 Wu, Jia 4 Xiao, Xiantao 4 Yousefpour, Rohollah 3 Apkarian, Pierre 3 Burke, James V. 3 Chang, Yulin 3 Chen, Xiaojun 3 Cui, Ying 3 Curtis, Frank E. 3 Dempe, Stephan 3 DiPillo, Gianni 3 Grippo, Luigi 3 Gu, Weizhe 3 Henrion, René 3 Joki, Kaisa 3 Kanzow, Christian 3 Kim, Do Sang 3 Konnov, Igor V. 3 Kruger, Alexander Y. 3 Li, Dan 3 Li, Donghui 3 Li, Guoyin 3 Li, Xudong 3 Liu, Lixia 3 Liu, Shuai 3 Malick, Jérôme ...and 556 more Authors all top 5 Cited in 114 Serials 81 Journal of Optimization Theory and Applications 62 Mathematical Programming. Series A. Series B 31 Computational Optimization and Applications 26 Applied Mathematics and Computation 24 Journal of Computational and Applied Mathematics 24 Optimization 23 SIAM Journal on Optimization 20 Optimization Methods & Software 18 Journal of Applied Mathematics and Computing 17 Mathematical Programming 17 Journal of Global Optimization 13 Numerical Algorithms 13 Set-Valued and Variational Analysis 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Numerical Functional Analysis and Optimization 10 Optimization Letters 9 European Journal of Operational Research 9 Mathematical Methods of Operations Research 8 Journal of Mathematical Analysis and Applications 8 Operations Research Letters 8 International Journal of Computer Mathematics 7 Numerische Mathematik 6 Top 5 Computers & Mathematics with Applications 5 Applied Mathematics and Optimization 5 Transactions of the American Mathematical Society 5 Annals of Operations Research 5 Applications of Mathematics 5 Abstract and Applied Analysis 5 Journal of Industrial and Management Optimization 5 Nonlinear Analysis. Theory, Methods & Applications 4 Bulletin of the Australian Mathematical Society 4 Journal of Scientific Computing 4 Journal of Inequalities and Applications 3 Automatica 3 Computing 3 Information Sciences 3 Applied Numerical Mathematics 3 Asia-Pacific Journal of Operational Research 3 Cybernetics and Systems Analysis 3 Applied Mathematics. Series B (English Edition) 3 Computational and Applied Mathematics 3 Mathematical Problems in Engineering 3 Nonlinear Analysis. Real World Applications 3 Mathematical Programming Computation 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Kybernetika 2 Mathematics and Computers in Simulation 2 Mathematics of Operations Research 2 SIAM Journal on Control and Optimization 2 Cybernetics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Computers & Operations Research 2 Applied Mathematical Modelling 2 Numerical Linear Algebra with Applications 2 Journal of Convex Analysis 2 Positivity 2 Acta Mathematica Sinica. English Series 2 4OR 2 Acta Numerica 2 Fixed Point Theory and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 BIT. Nordisk Tidskrift for Informationsbehandling 2 SIAM Journal on Imaging Sciences 2 Science China. Mathematics 1 Applicable Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Control 1 International Journal of Systems Science 1 Journal of Engineering Mathematics 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 BIT 1 Journal of Functional Analysis 1 Journal of Soviet Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Trabajos de Estadistica y de Investigacion Operativa 1 Systems & Control Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 MCSS. Mathematics of Control, Signals, and Systems 1 Automation and Remote Control 1 Communications in Statistics. Theory and Methods 1 Linear Algebra and its Applications 1 Zeitschrift für Operations Research. Serie A: Theorie 1 International Journal of Robust and Nonlinear Control 1 SIAM Journal on Scientific Computing 1 Set-Valued Analysis 1 Journal of Mathematical Sciences (New York) 1 Advances in Computational Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Communications in Nonlinear Science and Numerical Simulation 1 RAIRO. Operations Research 1 The ANZIAM Journal 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 Journal of Machine Learning Research (JMLR) ...and 14 more Serials all top 5 Cited in 30 Fields 531 Operations research, mathematical programming (90-XX) 277 Numerical analysis (65-XX) 242 Calculus of variations and optimal control; optimization (49-XX) 37 Real functions (26-XX) 23 Operator theory (47-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Global analysis, analysis on manifolds (58-XX) 14 Systems theory; control (93-XX) 12 Computer science (68-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Functional analysis (46-XX) 10 Statistics (62-XX) 9 Convex and discrete geometry (52-XX) 8 Mechanics of deformable solids (74-XX) 5 Partial differential equations (35-XX) 4 Algebraic geometry (14-XX) 3 Combinatorics (05-XX) 3 General topology (54-XX) 3 Fluid mechanics (76-XX) 3 Information and communication theory, circuits (94-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year