Edit Profile Mifflin, Robert Compute Distance To: Compute Author ID: mifflin.robert Published as: Mifflin, R.; Mifflin, Robert Documents Indexed: 41 Publications since 1972, including 3 Books all top 5 Co-Authors 19 single-authored 7 Sagastizábal, Claudia S. 3 Sagastizábal, Claudia A. 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 Operations Research 1 SIAM Journal on Control and Optimization 1 European Journal of Operational Research 1 Documenta Mathematica 1 Optimization Methods & Software all top 5 Fields 36 Operations research, mathematical programming (90-XX) 23 Numerical analysis (65-XX) 13 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 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 820 times in 614 Documents Cited by ▼ Year ▼ Semismooth and semiconvex functions in constrained optimization. Zbl 0376.90081Mifflin, Robert 383 1977 An algorithm for constrained optimization with semismooth functions. Zbl 0395.90069Mifflin, Robert 71 1977 A modification and an extension of Lemarechal’s algorithm for nonsmooth minimization. Zbl 0476.65047Mifflin, Robert 59 1982 A \(\mathcal{VU}\)-algorithm for convex minimization. Zbl 1085.65051Mifflin, Robert; Sagastizábal, Claudia 36 2005 \({\mathcal V}{\mathcal U}\)-smoothness and proximal point results for some nonconvex functions. Zbl 1097.90059Mifflin, Robert; Sagastizábal, Claudia 20 2004 On \(\mathcal{VU}\)-theory for functions with primal-dual gradient structure. Zbl 1015.90084Mifflin, Robert; Sagastizábal, Claudia 20 2000 Primal-dual gradient structured functions: second-order results; links to epi-derivatives and partly smooth functions. Zbl 1036.90067Mifflin, Robert; Sagastizábal, Claudia 19 2003 Global and superlinear convergence of an algorithm for one-dimensional minimization of convex functions. Zbl 0505.90064Lemarechal, C.; Mifflin, R. 19 1982 On conditions to have bounded multipliers in locally Lipschitz programming. Zbl 0437.90075Nguyen, V. Hien; Strodiot, J.-J.; Mifflin, R. 19 1980 Quasi-Newton bundle-type methods for nondifferentiable convex optimization. Zbl 0927.65074Mifflin, Robert; Sun, Defeng; Qi, Liqun 18 1998 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 15 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 12 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 10 1984 Functions with primal-dual gradient structure and \(\mathcal U\)-Hessians. Zbl 1138.90482Mifflin, Robert; Sagastizábal, Claudia 7 2000 Properties of the Moreau-Yosida regularization of a piecewise \(C^2\) convex function. Zbl 0971.90082Mifflin, Robert; Qi, Liqun; Sun, Defeng 6 1999 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 5 1983 Convergence bounds for nonlinear programming algorithms. Zbl 0326.90055Mifflin, Robert 5 1975 A science fiction story in nonsmooth optimization originating at IIASA. Zbl 1264.01016Mifflin, Robert; Sagastizábal, Claudia 4 2012 On superlinear convergence in univariate nonsmooth minimization. Zbl 0719.90073Mifflin, Robert 4 1990 Subproblem and overall convergence for a method-of-centers algorithm. Zbl 0322.90050Mifflin, Robert 4 1975 A rapidly convergent five-point algorithm for univariate minimization. Zbl 0836.90136Mifflin, Robert; Strodiot, J.-J. 3 1993 A bracketing technique to ensure desirable convergence in univariate minimization. Zbl 0663.90078Mifflin, Robert; Strodiot, J.-J. 3 1989 Nonsmooth optimization. Proceedings of a IIASA workshop, March 28 - April 8, 1977. Zbl 0391.00019Lemarechal, Claude (ed.); Mifflin, Robert (ed.) 3 1978 An algorithm for constrained optimization with semismooth functions. Zbl 0364.90092Mifflin, R. 3 1977 Semismooth and semiconvex functions in constrained optimization. Zbl 0364.90091Mifflin, Robert 3 1976 Rates of convergence for a method of centers algorithm. Zbl 0299.65036Mifflin, R. 3 1976 On the convergence of the logarithmic barrier function method. Zbl 0268.90060Mifflin, R. 3 1972 Relating \(\mathcal U\)-Lagrangians to second-order epi-derivates and proximal-tracks. Zbl 1096.90042Mifflin, Robert; Sagastizábal, Claudia 2 2005 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 Convergence of a modification of Lemarechal’s algorithm for nonsmooth optimization. Zbl 0502.65039Mifflin, Robert 2 1982 A feasible descent algorithm for linearly constrained least squares problems. Zbl 0404.90068Mifflin, Robert 2 1978 Ideas for developing a rapidly convergent algorithm for nonsmooth minimization. Zbl 1050.90554Mifflin, R. 1 1992 The solution of a nested nonsmooth optimization problem. Zbl 0577.90076Mifflin, Robert 1 1985 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 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 36 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 20 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 19 2003 Proximal points are on the fast track. Zbl 1037.49031Mifflin, Robert; Sagastizábal, Claudia 15 2002 On \(\mathcal{VU}\)-theory for functions with primal-dual gradient structure. Zbl 1015.90084Mifflin, Robert; Sagastizábal, Claudia 20 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 12 1999 Properties of the Moreau-Yosida regularization of a piecewise \(C^2\) convex function. Zbl 0971.90082Mifflin, Robert; Qi, Liqun; Sun, Defeng 6 1999 Quasi-Newton bundle-type methods for nondifferentiable convex optimization. Zbl 0927.65074Mifflin, Robert; Sun, Defeng; Qi, Liqun 18 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 10 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 5 1983 A modification and an extension of Lemarechal’s algorithm for nonsmooth minimization. Zbl 0476.65047Mifflin, Robert 59 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 0391.00019Lemarechal, Claude (ed.); Mifflin, Robert (ed.) 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 383 1977 An algorithm for constrained optimization with semismooth functions. Zbl 0395.90069Mifflin, Robert 71 1977 An algorithm for constrained optimization with semismooth functions. Zbl 0364.90092Mifflin, R. 3 1977 Semismooth and semiconvex functions in constrained optimization. Zbl 0364.90091Mifflin, Robert 3 1976 Rates of convergence for a method of centers algorithm. Zbl 0299.65036Mifflin, R. 3 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 669 Authors 26 Qi, Liqun 19 Pang, Liping 19 Zhang, Liwei 15 Bagirov, Adil M. 14 Chiou, Suh-Wen 14 Sun, Defeng 13 Fang, Liang 13 Liu, Sanyang 13 Ma, Changfeng 12 Śmietański, Marek J. 11 Gaudioso, Manlio 11 Mifflin, Robert 10 Kiwiel, Krzysztof Czesław 10 Tang, Jingyong 10 Xia, Zunquan 9 Chen, Jein-Shan 9 Huang, Zheng-Hai 9 Karmitsa, Napsu 9 Toh, Kimchuan 9 Zhou, Jinchuan 8 Dong, Li 8 Hare, Warren L. 8 Ling, Chen 8 Lu, Yuan 8 Outrata, Jiří V. 7 Chaney, Robin W. 7 Huang, Ming 7 Lemaréchal, Claude 7 Mäkelä, Marko Mikael 7 Polak, Elijah (Lucien) 7 Sagastizábal, Claudia S. 7 Tawhid, Mohamed Aly 7 Wang, Wei 7 Zhu, Jianguang 6 Chi, Xiaoni 6 Facchinei, Francisco 6 Liu, Hongwei 6 Sagastizábal, Claudia A. 6 Son, Ta Quang 6 Xiu, Naihua 6 Zhang, Jianzhong 6 Zhang, Liping 5 Daniilidis, Aris 5 Fuduli, Antonio 5 Fukushima, Masao 5 Lewis, Adrian S. 5 Liang, Xijun 5 Liu, Zhenhua 5 Noll, Dominikus 5 Shen, Jie 5 Solodov, Mikhail V. 5 Strodiot, Jean-Jacques 5 Zhang, Xiangsong 4 Gao, Yan 4 Giallombardo, Giovanni 4 Griewank, Andreas 4 Hao, Binbin 4 He, Guoping 4 Hintermüller, Michael 4 Kiwiel, Krysztof C. 4 Kong, Lingchen 4 Kunisch, Karl 4 Lucidi, Stefano 4 Mahdavi-Amiri, Nezam 4 Mayne, David Q. 4 Meng, Fanwen 4 Miglionico, Giovanna 4 Movahedian, Nooshin 4 Pang, Jong-Shi 4 Sherali, Hanif D. 4 Sun, Jie 4 Walther, Andrea 4 Wu, Jia 4 Xiao, Xiantao 4 Yin, Hongxia 4 Yousefpour, Rohollah 3 Apkarian, Pierre 3 Burke, James V. 3 Chang, Yulin 3 Chen, Xiaojun 3 Cui, Ying 3 Dempe, Stephan 3 DiPillo, Gianni 3 Drusvyatskiy, Dmitriy 3 Dussault, Jean-Pierre 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 Ya. 3 Li, Dan 3 Li, Donghui 3 Li, Xudong 3 Liu, Lixia 3 Liu, Shuai 3 Malick, Jérôme 3 Martínez, José Mario ...and 569 more Authors all top 5 Cited in 108 Serials 81 Journal of Optimization Theory and Applications 62 Mathematical Programming. Series A. Series B 30 Applied Mathematics and Computation 30 Computational Optimization and Applications 24 Journal of Computational and Applied Mathematics 23 Optimization 20 SIAM Journal on Optimization 20 Optimization Methods & Software 18 Mathematical Programming 18 Journal of Applied Mathematics and Computing 17 Journal of Global Optimization 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Numerical Algorithms 12 Set-Valued and Variational Analysis 10 Numerical Functional Analysis and Optimization 10 Optimization Letters 9 Operations Research Letters 9 European Journal of Operational Research 9 Mathematical Methods of Operations Research 8 Journal of Mathematical Analysis and Applications 8 International Journal of Computer Mathematics 7 Numerische Mathematik 6 Applied Mathematics and Optimization 5 Transactions of the American Mathematical Society 5 Annals of Operations Research 5 Applications of Mathematics 5 Top 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 Computers & Mathematics with Applications 3 Automatica 3 Computing 3 Information Sciences 3 Applied Numerical Mathematics 3 Journal of Scientific Computing 3 Applied Mathematics. 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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 Mathematics and Computers in Simulation 1 Mathematics of Operations Research 1 SIAM Journal on Control and Optimization 1 Trabajos de Estadistica y de Investigacion Operativa 1 Systems & Control Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 MCSS. Mathematics of Control, Signals, and Systems 1 Automation and Remote Control 1 Communications in Statistics. Theory and Methods 1 Zeitschrift für Operations Research. Serie A: Theorie 1 International Journal of Robust and Nonlinear Control 1 Set-Valued Analysis 1 Journal of Mathematical Sciences (New York) 1 Journal of Convex Analysis 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 Numerical Mathematics 1 Central European Journal of Mathematics 1 Structural and Multidisciplinary Optimization 1 Computational Management Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Frontiers of Mathematics in China ...and 8 more Serials all top 5 Cited in 29 Fields 513 Operations research, mathematical programming (90-XX) 270 Numerical analysis (65-XX) 232 Calculus of variations and optimal control; optimization (49-XX) 36 Real functions (26-XX) 23 Operator theory (47-XX) 12 Global analysis, analysis on manifolds (58-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Functional analysis (46-XX) 11 Systems theory; control (93-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Mechanics of deformable solids (74-XX) 9 Statistics (62-XX) 8 Convex and discrete geometry (52-XX) 8 Computer science (68-XX) 4 Partial differential equations (35-XX) 3 Combinatorics (05-XX) 3 Algebraic geometry (14-XX) 3 Approximations and expansions (41-XX) 3 General topology (54-XX) 3 Information and communication theory, circuits (94-XX) 2 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year