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## Mifflin, Robert

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 Author ID: mifflin.robert Published as: Mifflin, R.; Mifflin, Robert
 Documents Indexed: 41 Publications since 1972, including 3 Books
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#### 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
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#### 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
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#### 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)

#### Citations contained in zbMATH Open

40 Publications have been cited 822 times in 616 Documents Cited by Year
Semismooth and semiconvex functions in constrained optimization. Zbl 0376.90081
Mifflin, Robert
1977
An algorithm for constrained optimization with semismooth functions. Zbl 0395.90069
Mifflin, Robert
1977
A modification and an extension of Lemarechal’s algorithm for nonsmooth minimization. Zbl 0476.65047
Mifflin, Robert
1982
A $$\mathcal{VU}$$-algorithm for convex minimization. Zbl 1085.65051
Mifflin, Robert; Sagastizábal, Claudia
2005
$${\mathcal V}{\mathcal U}$$-smoothness and proximal point results for some nonconvex functions. Zbl 1097.90059
Mifflin, Robert; Sagastizábal, Claudia
2004
On $$\mathcal{VU}$$-theory for functions with primal-dual gradient structure. Zbl 1015.90084
Mifflin, Robert; Sagastizábal, Claudia
2000
Primal-dual gradient structured functions: second-order results; links to epi-derivatives and partly smooth functions. Zbl 1036.90067
Mifflin, Robert; Sagastizábal, Claudia
2003
Global and superlinear convergence of an algorithm for one-dimensional minimization of convex functions. Zbl 0505.90064
Lemarechal, C.; Mifflin, R.
1982
On conditions to have bounded multipliers in locally Lipschitz programming. Zbl 0437.90075
Nguyen, V. Hien; Strodiot, J.-J.; Mifflin, R.
1980
Quasi-Newton bundle-type methods for nondifferentiable convex optimization. Zbl 0927.65074
Mifflin, Robert; Sun, Defeng; Qi, Liqun
1998
A quasi-second-order proximal bundle algorithm. Zbl 0848.90100
Mifflin, Robert
1996
Proximal points are on the fast track. Zbl 1037.49031
Mifflin, Robert; Sagastizábal, Claudia
2002
A stable method for solving certain constrained least squares problems. Zbl 0407.90065
Mifflin, Robert
1979
$${\mathcal V}{\mathcal U}$$-decomposition derivatives for convex max-functions. Zbl 0944.65069
Mifflin, Robert; Sagastizábal, Claudia
1999
A superlinearly convergent algorithm for minimization without evaluating derivatives. Zbl 0327.90027
Mifflin, Robert
1975
Stationarity and superlinear convergence of an algorithm for univariate locally Lipschitz constrained minimization. Zbl 0528.49024
Mifflin, Robert
1984
Functions with primal-dual gradient structure and $$\mathcal U$$-Hessians. Zbl 1138.90482
Mifflin, Robert; Sagastizábal, Claudia
2000
Properties of the Moreau-Yosida regularization of a piecewise $$C^2$$ convex function. Zbl 0971.90082
Mifflin, Robert; Qi, Liqun; Sun, Defeng
1999
Better than linear convergence and safeguarding in nonsmooth minimization. Zbl 0548.90059
Mifflin, Robert
1984
A superlinearly convergent algorithm for one-dimensional constrained minimization problems with convex functions. Zbl 0514.90070
Mifflin, Robert
1983
Convergence bounds for nonlinear programming algorithms. Zbl 0326.90055
Mifflin, Robert
1975
A science fiction story in nonsmooth optimization originating at IIASA. Zbl 1264.01016
Mifflin, Robert; Sagastizábal, Claudia
2012
On superlinear convergence in univariate nonsmooth minimization. Zbl 0719.90073
Mifflin, Robert
1990
Subproblem and overall convergence for a method-of-centers algorithm. Zbl 0322.90050
Mifflin, Robert
1975
A rapidly convergent five-point algorithm for univariate minimization. Zbl 0836.90136
Mifflin, Robert; Strodiot, J.-J.
1993
A bracketing technique to ensure desirable convergence in univariate minimization. Zbl 0663.90078
Mifflin, Robert; Strodiot, J.-J.
1989
Nonsmooth optimization. Proceedings of a IIASA workshop, March 28 - April 8, 1977. Zbl 0391.00019
Lemarechal, Claude (ed.); Mifflin, Robert (ed.)
1978
An algorithm for constrained optimization with semismooth functions. Zbl 0364.90092
Mifflin, R.
1977
Semismooth and semiconvex functions in constrained optimization. Zbl 0364.90091
Mifflin, Robert
1976
Rates of convergence for a method of centers algorithm. Zbl 0299.65036
Mifflin, R.
1976
On the convergence of the logarithmic barrier function method. Zbl 0268.90060
Mifflin, R.
1972
Relating $$\mathcal U$$-Lagrangians to second-order epi-derivates and proximal-tracks. Zbl 1096.90042
Mifflin, Robert; Sagastizábal, Claudia
2005
On the relation between $$\mathcal U$$-Hessians and second-order epi-derivatives. Zbl 1106.49026
Mifflin, Robert; Sagastizábal, Claudia
2004
An implementation of an algorithm for univariate minimization and an application to nested optimization. Zbl 0636.90078
Mifflin, Robert
1987
Convergence of a modification of Lemarechal’s algorithm for nonsmooth optimization. Zbl 0502.65039
Mifflin, Robert
1982
A feasible descent algorithm for linearly constrained least squares problems. Zbl 0404.90068
Mifflin, Robert
1978
Ideas for developing a rapidly convergent algorithm for nonsmooth minimization. Zbl 1050.90554
Mifflin, R.
1992
The solution of a nested nonsmooth optimization problem. Zbl 0577.90076
Mifflin, Robert
1985
A modification and an extension of Lemarechal’s algorithm for nonsmooth minimization. Zbl 0471.65039
Mifflin, Robert
1982
Some applications of and a method for nonsmooth optimization. Zbl 0465.90076
Mifflin, Robert
1980
A science fiction story in nonsmooth optimization originating at IIASA. Zbl 1264.01016
Mifflin, Robert; Sagastizábal, Claudia
2012
A $$\mathcal{VU}$$-algorithm for convex minimization. Zbl 1085.65051
Mifflin, Robert; Sagastizábal, Claudia
2005
Relating $$\mathcal U$$-Lagrangians to second-order epi-derivates and proximal-tracks. Zbl 1096.90042
Mifflin, Robert; Sagastizábal, Claudia
2005
$${\mathcal V}{\mathcal U}$$-smoothness and proximal point results for some nonconvex functions. Zbl 1097.90059
Mifflin, Robert; Sagastizábal, Claudia
2004
On the relation between $$\mathcal U$$-Hessians and second-order epi-derivatives. Zbl 1106.49026
Mifflin, Robert; Sagastizábal, Claudia
2004
Primal-dual gradient structured functions: second-order results; links to epi-derivatives and partly smooth functions. Zbl 1036.90067
Mifflin, Robert; Sagastizábal, Claudia
2003
Proximal points are on the fast track. Zbl 1037.49031
Mifflin, Robert; Sagastizábal, Claudia
2002
On $$\mathcal{VU}$$-theory for functions with primal-dual gradient structure. Zbl 1015.90084
Mifflin, Robert; Sagastizábal, Claudia
2000
Functions with primal-dual gradient structure and $$\mathcal U$$-Hessians. Zbl 1138.90482
Mifflin, Robert; Sagastizábal, Claudia
2000
$${\mathcal V}{\mathcal U}$$-decomposition derivatives for convex max-functions. Zbl 0944.65069
Mifflin, Robert; Sagastizábal, Claudia
1999
Properties of the Moreau-Yosida regularization of a piecewise $$C^2$$ convex function. Zbl 0971.90082
Mifflin, Robert; Qi, Liqun; Sun, Defeng
1999
Quasi-Newton bundle-type methods for nondifferentiable convex optimization. Zbl 0927.65074
Mifflin, Robert; Sun, Defeng; Qi, Liqun
1998
A quasi-second-order proximal bundle algorithm. Zbl 0848.90100
Mifflin, Robert
1996
A rapidly convergent five-point algorithm for univariate minimization. Zbl 0836.90136
Mifflin, Robert; Strodiot, J.-J.
1993
Ideas for developing a rapidly convergent algorithm for nonsmooth minimization. Zbl 1050.90554
Mifflin, R.
1992
On superlinear convergence in univariate nonsmooth minimization. Zbl 0719.90073
Mifflin, Robert
1990
A bracketing technique to ensure desirable convergence in univariate minimization. Zbl 0663.90078
Mifflin, Robert; Strodiot, J.-J.
1989
An implementation of an algorithm for univariate minimization and an application to nested optimization. Zbl 0636.90078
Mifflin, Robert
1987
The solution of a nested nonsmooth optimization problem. Zbl 0577.90076
Mifflin, Robert
1985
Stationarity and superlinear convergence of an algorithm for univariate locally Lipschitz constrained minimization. Zbl 0528.49024
Mifflin, Robert
1984
Better than linear convergence and safeguarding in nonsmooth minimization. Zbl 0548.90059
Mifflin, Robert
1984
A superlinearly convergent algorithm for one-dimensional constrained minimization problems with convex functions. Zbl 0514.90070
Mifflin, Robert
1983
A modification and an extension of Lemarechal’s algorithm for nonsmooth minimization. Zbl 0476.65047
Mifflin, Robert
1982
Global and superlinear convergence of an algorithm for one-dimensional minimization of convex functions. Zbl 0505.90064
Lemarechal, C.; Mifflin, R.
1982
Convergence of a modification of Lemarechal’s algorithm for nonsmooth optimization. Zbl 0502.65039
Mifflin, Robert
1982
A modification and an extension of Lemarechal’s algorithm for nonsmooth minimization. Zbl 0471.65039
Mifflin, Robert
1982
On conditions to have bounded multipliers in locally Lipschitz programming. Zbl 0437.90075
Nguyen, V. Hien; Strodiot, J.-J.; Mifflin, R.
1980
Some applications of and a method for nonsmooth optimization. Zbl 0465.90076
Mifflin, Robert
1980
A stable method for solving certain constrained least squares problems. Zbl 0407.90065
Mifflin, Robert
1979
Nonsmooth optimization. Proceedings of a IIASA workshop, March 28 - April 8, 1977. Zbl 0391.00019
Lemarechal, Claude (ed.); Mifflin, Robert (ed.)
1978
A feasible descent algorithm for linearly constrained least squares problems. Zbl 0404.90068
Mifflin, Robert
1978
Semismooth and semiconvex functions in constrained optimization. Zbl 0376.90081
Mifflin, Robert
1977
An algorithm for constrained optimization with semismooth functions. Zbl 0395.90069
Mifflin, Robert
1977
An algorithm for constrained optimization with semismooth functions. Zbl 0364.90092
Mifflin, R.
1977
Semismooth and semiconvex functions in constrained optimization. Zbl 0364.90091
Mifflin, Robert
1976
Rates of convergence for a method of centers algorithm. Zbl 0299.65036
Mifflin, R.
1976
A superlinearly convergent algorithm for minimization without evaluating derivatives. Zbl 0327.90027
Mifflin, Robert
1975
Convergence bounds for nonlinear programming algorithms. Zbl 0326.90055
Mifflin, Robert
1975
Subproblem and overall convergence for a method-of-centers algorithm. Zbl 0322.90050
Mifflin, Robert
1975
On the convergence of the logarithmic barrier function method. Zbl 0268.90060
Mifflin, R.
1972
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#### Cited by 673 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 573 more Authors
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#### Cited in 108 Serials

 82 Journal of Optimization Theory and Applications 62 Mathematical Programming. Series A. Series B 31 Computational Optimization and Applications 30 Applied Mathematics and Computation 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. Series B (English Edition) 3 Computational and Applied Mathematics 3 Mathematical Problems in Engineering 3 Journal of Inequalities and Applications 3 Nonlinear Analysis. Real World Applications 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Kybernetika 2 Cybernetics 2 Computers & Operations Research 2 Asia-Pacific Journal of Operational Research 2 Mathematical and Computer Modelling 2 Applied Mathematical Modelling 2 Cybernetics and Systems Analysis 2 Numerical Linear Algebra with Applications 2 Positivity 2 Acta Mathematica Sinica. English Series 2 4OR 2 Acta Numerica 2 Fixed Point Theory and Applications 2 BIT. Nordisk Tidskrift for Informationsbehandling 2 Mathematical Programming Computation 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 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
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#### Cited in 29 Fields

 515 Operations research, mathematical programming (90-XX) 271 Numerical analysis (65-XX) 233 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)