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Author ID: mifflin.robert Recent zbMATH articles by "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

Publications by Year

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 0376.90081
Mifflin, Robert
395
1977
An algorithm for constrained optimization with semismooth functions. Zbl 0395.90069
Mifflin, Robert
72
1977
A modification and an extension of Lemarechal’s algorithm for nonsmooth minimization. Zbl 0476.65047
Mifflin, Robert
60
1982
A \(\mathcal{VU}\)-algorithm for convex minimization. Zbl 1085.65051
Mifflin, Robert; Sagastizábal, Claudia
41
2005
\({\mathcal V}{\mathcal U}\)-smoothness and proximal point results for some nonconvex functions. Zbl 1097.90059
Mifflin, Robert; Sagastizábal, Claudia
24
2004
On \(\mathcal{VU}\)-theory for functions with primal-dual gradient structure. Zbl 1015.90084
Mifflin, Robert; Sagastizábal, Claudia
23
2000
Primal-dual gradient structured functions: second-order results; links to epi-derivatives and partly smooth functions. Zbl 1036.90067
Mifflin, Robert; Sagastizábal, Claudia
23
2003
Quasi-Newton bundle-type methods for nondifferentiable convex optimization. Zbl 0927.65074
Mifflin, Robert; Sun, Defeng; Qi, Liqun
20
1998
On conditions to have bounded multipliers in locally Lipschitz programming. Zbl 0437.90075
Nguyen, V. Hien; Strodiot, J.-J.; Mifflin, R.
19
1980
Global and superlinear convergence of an algorithm for one-dimensional minimization of convex functions. Zbl 0505.90064
Lemarechal, C.; Mifflin, R.
19
1982
A quasi-second-order proximal bundle algorithm. Zbl 0848.90100
Mifflin, Robert
18
1996
Proximal points are on the fast track. Zbl 1037.49031
Mifflin, Robert; Sagastizábal, Claudia
18
2002
A stable method for solving certain constrained least squares problems. Zbl 0407.90065
Mifflin, Robert
14
1979
\({\mathcal V}{\mathcal U}\)-decomposition derivatives for convex max-functions. Zbl 0944.65069
Mifflin, Robert; Sagastizábal, Claudia
13
1999
A superlinearly convergent algorithm for minimization without evaluating derivatives. Zbl 0327.90027
Mifflin, Robert
11
1975
Stationarity and superlinear convergence of an algorithm for univariate locally Lipschitz constrained minimization. Zbl 0528.49024
Mifflin, Robert
9
1984
Properties of the Moreau-Yosida regularization of a piecewise \(C^2\) convex function. Zbl 0971.90082
Mifflin, Robert; Qi, Liqun; Sun, Defeng
7
1999
Functions with primal-dual gradient structure and \(\mathcal U\)-Hessians. Zbl 1138.90482
Mifflin, Robert; Sagastizábal, Claudia
7
2000
Better than linear convergence and safeguarding in nonsmooth minimization. Zbl 0548.90059
Mifflin, Robert
6
1984
Convergence bounds for nonlinear programming algorithms. Zbl 0326.90055
Mifflin, Robert
5
1975
A superlinearly convergent algorithm for one-dimensional constrained minimization problems with convex functions. Zbl 0514.90070
Mifflin, Robert
4
1983
On superlinear convergence in univariate nonsmooth minimization. Zbl 0719.90073
Mifflin, Robert
4
1990
A science fiction story in nonsmooth optimization originating at IIASA. Zbl 1264.01016
Mifflin, Robert; Sagastizábal, Claudia
4
2012
Subproblem and overall convergence for a method-of-centers algorithm. Zbl 0322.90050
Mifflin, 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 0663.90078
Mifflin, Robert; Strodiot, J.-J.
3
1989
A rapidly convergent five-point algorithm for univariate minimization. Zbl 0836.90136
Mifflin, Robert; Strodiot, J.-J.
3
1993
On the convergence of the logarithmic barrier function method. Zbl 0268.90060
Mifflin, R.
3
1972
Rates of convergence for a method of centers algorithm. Zbl 0299.65036
Mifflin, R.
3
1976
An algorithm for constrained optimization with semismooth functions. Zbl 0364.90092
Mifflin, R.
3
1977
A feasible descent algorithm for linearly constrained least squares problems. Zbl 0404.90068
Mifflin, Robert
2
1978
Convergence of a modification of Lemarechal’s algorithm for nonsmooth optimization. Zbl 0502.65039
Mifflin, Robert
2
1982
On the relation between \(\mathcal U\)-Hessians and second-order epi-derivatives. Zbl 1106.49026
Mifflin, Robert; Sagastizábal, Claudia
2
2004
An implementation of an algorithm for univariate minimization and an application to nested optimization. Zbl 0636.90078
Mifflin, Robert
2
1987
Relating \(\mathcal U\)-Lagrangians to second-order epi-derivates and proximal-tracks. Zbl 1096.90042
Mifflin, Robert; Sagastizábal, Claudia
2
2005
Semismooth and semiconvex functions in constrained optimization. Zbl 0364.90091
Mifflin, Robert
2
1976
A modification and an extension of Lemarechal’s algorithm for nonsmooth minimization. Zbl 0471.65039
Mifflin, Robert
1
1982
Some applications of and a method for nonsmooth optimization. Zbl 0465.90076
Mifflin, Robert
1
1980
The solution of a nested nonsmooth optimization problem. Zbl 0577.90076
Mifflin, Robert
1
1985
Ideas for developing a rapidly convergent algorithm for nonsmooth minimization. Zbl 1050.90554
Mifflin, R.
1
1992
A science fiction story in nonsmooth optimization originating at IIASA. Zbl 1264.01016
Mifflin, Robert; Sagastizábal, Claudia
4
2012
A \(\mathcal{VU}\)-algorithm for convex minimization. Zbl 1085.65051
Mifflin, Robert; Sagastizábal, Claudia
41
2005
Relating \(\mathcal U\)-Lagrangians to second-order epi-derivates and proximal-tracks. Zbl 1096.90042
Mifflin, Robert; Sagastizábal, Claudia
2
2005
\({\mathcal V}{\mathcal U}\)-smoothness and proximal point results for some nonconvex functions. Zbl 1097.90059
Mifflin, Robert; Sagastizábal, Claudia
24
2004
On the relation between \(\mathcal U\)-Hessians and second-order epi-derivatives. Zbl 1106.49026
Mifflin, Robert; Sagastizábal, Claudia
2
2004
Primal-dual gradient structured functions: second-order results; links to epi-derivatives and partly smooth functions. Zbl 1036.90067
Mifflin, Robert; Sagastizábal, Claudia
23
2003
Proximal points are on the fast track. Zbl 1037.49031
Mifflin, Robert; Sagastizábal, Claudia
18
2002
On \(\mathcal{VU}\)-theory for functions with primal-dual gradient structure. Zbl 1015.90084
Mifflin, Robert; Sagastizábal, Claudia
23
2000
Functions with primal-dual gradient structure and \(\mathcal U\)-Hessians. Zbl 1138.90482
Mifflin, Robert; Sagastizábal, Claudia
7
2000
\({\mathcal V}{\mathcal U}\)-decomposition derivatives for convex max-functions. Zbl 0944.65069
Mifflin, Robert; Sagastizábal, Claudia
13
1999
Properties of the Moreau-Yosida regularization of a piecewise \(C^2\) convex function. Zbl 0971.90082
Mifflin, Robert; Qi, Liqun; Sun, Defeng
7
1999
Quasi-Newton bundle-type methods for nondifferentiable convex optimization. Zbl 0927.65074
Mifflin, Robert; Sun, Defeng; Qi, Liqun
20
1998
A quasi-second-order proximal bundle algorithm. Zbl 0848.90100
Mifflin, Robert
18
1996
A rapidly convergent five-point algorithm for univariate minimization. Zbl 0836.90136
Mifflin, Robert; Strodiot, J.-J.
3
1993
Ideas for developing a rapidly convergent algorithm for nonsmooth minimization. Zbl 1050.90554
Mifflin, R.
1
1992
On superlinear convergence in univariate nonsmooth minimization. Zbl 0719.90073
Mifflin, Robert
4
1990
A bracketing technique to ensure desirable convergence in univariate minimization. Zbl 0663.90078
Mifflin, Robert; Strodiot, J.-J.
3
1989
An implementation of an algorithm for univariate minimization and an application to nested optimization. Zbl 0636.90078
Mifflin, Robert
2
1987
The solution of a nested nonsmooth optimization problem. Zbl 0577.90076
Mifflin, Robert
1
1985
Stationarity and superlinear convergence of an algorithm for univariate locally Lipschitz constrained minimization. Zbl 0528.49024
Mifflin, Robert
9
1984
Better than linear convergence and safeguarding in nonsmooth minimization. Zbl 0548.90059
Mifflin, Robert
6
1984
A superlinearly convergent algorithm for one-dimensional constrained minimization problems with convex functions. Zbl 0514.90070
Mifflin, Robert
4
1983
A modification and an extension of Lemarechal’s algorithm for nonsmooth minimization. Zbl 0476.65047
Mifflin, Robert
60
1982
Global and superlinear convergence of an algorithm for one-dimensional minimization of convex functions. Zbl 0505.90064
Lemarechal, C.; Mifflin, R.
19
1982
Convergence of a modification of Lemarechal’s algorithm for nonsmooth optimization. Zbl 0502.65039
Mifflin, Robert
2
1982
A modification and an extension of Lemarechal’s algorithm for nonsmooth minimization. Zbl 0471.65039
Mifflin, Robert
1
1982
On conditions to have bounded multipliers in locally Lipschitz programming. Zbl 0437.90075
Nguyen, V. Hien; Strodiot, J.-J.; Mifflin, R.
19
1980
Some applications of and a method for nonsmooth optimization. Zbl 0465.90076
Mifflin, Robert
1
1980
A stable method for solving certain constrained least squares problems. Zbl 0407.90065
Mifflin, 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 0404.90068
Mifflin, Robert
2
1978
Semismooth and semiconvex functions in constrained optimization. Zbl 0376.90081
Mifflin, Robert
395
1977
An algorithm for constrained optimization with semismooth functions. Zbl 0395.90069
Mifflin, Robert
72
1977
An algorithm for constrained optimization with semismooth functions. Zbl 0364.90092
Mifflin, R.
3
1977
Rates of convergence for a method of centers algorithm. Zbl 0299.65036
Mifflin, R.
3
1976
Semismooth and semiconvex functions in constrained optimization. Zbl 0364.90091
Mifflin, Robert
2
1976
A superlinearly convergent algorithm for minimization without evaluating derivatives. Zbl 0327.90027
Mifflin, Robert
11
1975
Convergence bounds for nonlinear programming algorithms. Zbl 0326.90055
Mifflin, Robert
5
1975
Subproblem and overall convergence for a method-of-centers algorithm. Zbl 0322.90050
Mifflin, Robert
4
1975
On the convergence of the logarithmic barrier function method. Zbl 0268.90060
Mifflin, R.
3
1972
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

Citations by Year