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Goldstein, Allen A.

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Author ID: goldstein.allen-a Recent zbMATH articles by "Goldstein, Allen A."
Published as: Goldstein, A.; Goldstein, A. A.; Goldstein, Allen; Goldstein, Allen A.
Documents Indexed: 46 Publications since 1958, including 2 Books

Publications by Year

Citations contained in zbMATH

36 Publications have been cited 718 times in 673 Documents Cited by Year
Convex programming in Hilbert space. Zbl 0142.17101
Goldstein, A. A.
158
1964
Newton’s method for convex programming and Tschebyscheff approximation. Zbl 0113.10703
Cheney, E. W.; Goldstein, A. A.
108
1959
Constructive real analysis. Zbl 0189.49703
Goldstein, A. A.
80
1967
Proximity maps for convex sets. Zbl 0092.11403
Cheney, Ward; Goldstein, Allen A.
70
1959
On steepest descent. Zbl 0221.65094
Goldstein, A. A.
62
1965
Optimization of Lipschitz continuous functions. Zbl 0394.90088
Goldstein, A. A.
52
1977
On descent from local minima. Zbl 0223.65020
Goldstein, A. A.; Price, J. F.
37
1971
An effective algorithm for minimization. Zbl 0161.35402
Goldstein, A. A.; Price, J. F.
34
1967
Mean-square approximation by generalized rational functions. Zbl 0162.08501
Cheney, E. W.; Goldstein, A. A.
27
1967
Cauchy’s method of minimization. Zbl 0105.10201
Goldstein, A. A.
14
1962
A finite algorithm for the solution of consistent linear equations and inequalities and for the Tchebycheff approximation of inconsistent linear equations. Zbl 0084.01902
Goldstein, Allen A.; Cheney, Ward
9
1958
On Newton’s method. Zbl 0214.40802
Goldstein, A. A.
8
1965
On the stability of rational approximation. Zbl 0115.11801
Goldstein, A. A.
6
1963
Optimization of functions whose values are subject to small errors. Zbl 0365.65044
Glad, Torkel; Goldstein, Allen
5
1977
A note on nonlinear approximation theory. Zbl 0179.21602
Cheney, E. W.; Goldstein, A. A.
5
1968
A global Newton method. II: Analytic centers. Zbl 0802.58008
Goldstein, A. A.
4
1993
Minimizing functionals on normed-linear spaces. Zbl 0147.12701
Goldstein, A. A.
4
1966
Tchebycheff approximation and related extremal problems. Zbl 0158.15102
Cheney, E. W.; Goldstein, A. A.
4
1965
Minimizing functionals on Hilbert space. Zbl 0151.21005
Goldstein, A. A.
4
1964
A modified Kantorovich inequality for the convergence of Newton’s method. Zbl 0725.90088
Goldstein, A. A.
3
1990
Tschebycheff approximation in locally convex spaces. Zbl 0107.10202
Cheney, E. W.; Goldstein, A. A.
3
1962
Note on a paper by Zuhovickiĭ concerning the Tchebycheff problem for linear equations. Zbl 0086.01801
Cheney, Ward; Goldstein, Allen A.
3
1958
Translational cuts for convex minimization. Zbl 0968.90506
Burke, James V.; Goldstein, Allen A.; Tseng, Paul; Ye, Yinyu
2
1993
An extension of the method of subgradients. Zbl 0415.90073
Chaney, Robin; Goldstein, Allen
2
1978
Cubature and the Tchakaloff cone. Zbl 0194.47201
Dennis, J. E.; Goldstein, A. A.
2
1969
Convex programming and optimal control. Zbl 0143.21701
Goldstein, A. A.
2
1965
Approximate clustering of incomplete fingerprints. Zbl 1162.68605
Figueroa, A.; Goldstein, A.; Jiang, T.; Kurowski, M.; Lingas, A.; Persson, M.
1
2008
Closure relations for the shear stresses in two-fluid models for laminar stratified flow. Zbl 1136.76664
Ullmann, A.; Goldstein, A.; Zamir, M.; Brauner, N.
1
2004
A global Newton method. Zbl 0753.58004
Goldstein, A. A.
1
1991
A note on the complexity of an algorithm for Chebyshev approximation. Zbl 0559.65008
Goldstein, A. A.
1
1984
Optimal temperament. Zbl 0362.00011
Goldstein, A. A.
1
1977
Optimization with corners. Zbl 0395.90074
Goldstein, A. A.
1
1975
Kantorovich estimates for some convex programs. Zbl 0285.49002
Goldstein, A. A.; Tapia, R. A.
1
1973
On the isolation of the roots of a non-linear operator. Zbl 0244.49006
Goldstein, A. A.; Johnson, F. C.; Spiess, Jurgen
1
1971
Nonlinear optimal controls. Zbl 0209.46002
Goldstein, A. A.; Meditch, J. S.
1
1970
Rational approximations on finite point sets. Zbl 0263.65015
Fox, P.; Goldstein, A. A.; Lastman, G.
1
1965
Approximate clustering of incomplete fingerprints. Zbl 1162.68605
Figueroa, A.; Goldstein, A.; Jiang, T.; Kurowski, M.; Lingas, A.; Persson, M.
1
2008
Closure relations for the shear stresses in two-fluid models for laminar stratified flow. Zbl 1136.76664
Ullmann, A.; Goldstein, A.; Zamir, M.; Brauner, N.
1
2004
A global Newton method. II: Analytic centers. Zbl 0802.58008
Goldstein, A. A.
4
1993
Translational cuts for convex minimization. Zbl 0968.90506
Burke, James V.; Goldstein, Allen A.; Tseng, Paul; Ye, Yinyu
2
1993
A global Newton method. Zbl 0753.58004
Goldstein, A. A.
1
1991
A modified Kantorovich inequality for the convergence of Newton’s method. Zbl 0725.90088
Goldstein, A. A.
3
1990
A note on the complexity of an algorithm for Chebyshev approximation. Zbl 0559.65008
Goldstein, A. A.
1
1984
An extension of the method of subgradients. Zbl 0415.90073
Chaney, Robin; Goldstein, Allen
2
1978
Optimization of Lipschitz continuous functions. Zbl 0394.90088
Goldstein, A. A.
52
1977
Optimization of functions whose values are subject to small errors. Zbl 0365.65044
Glad, Torkel; Goldstein, Allen
5
1977
Optimal temperament. Zbl 0362.00011
Goldstein, A. A.
1
1977
Optimization with corners. Zbl 0395.90074
Goldstein, A. A.
1
1975
Kantorovich estimates for some convex programs. Zbl 0285.49002
Goldstein, A. A.; Tapia, R. A.
1
1973
On descent from local minima. Zbl 0223.65020
Goldstein, A. A.; Price, J. F.
37
1971
On the isolation of the roots of a non-linear operator. Zbl 0244.49006
Goldstein, A. A.; Johnson, F. C.; Spiess, Jurgen
1
1971
Nonlinear optimal controls. Zbl 0209.46002
Goldstein, A. A.; Meditch, J. S.
1
1970
Cubature and the Tchakaloff cone. Zbl 0194.47201
Dennis, J. E.; Goldstein, A. A.
2
1969
A note on nonlinear approximation theory. Zbl 0179.21602
Cheney, E. W.; Goldstein, A. A.
5
1968
Constructive real analysis. Zbl 0189.49703
Goldstein, A. A.
80
1967
An effective algorithm for minimization. Zbl 0161.35402
Goldstein, A. A.; Price, J. F.
34
1967
Mean-square approximation by generalized rational functions. Zbl 0162.08501
Cheney, E. W.; Goldstein, A. A.
27
1967
Minimizing functionals on normed-linear spaces. Zbl 0147.12701
Goldstein, A. A.
4
1966
On steepest descent. Zbl 0221.65094
Goldstein, A. A.
62
1965
On Newton’s method. Zbl 0214.40802
Goldstein, A. A.
8
1965
Tchebycheff approximation and related extremal problems. Zbl 0158.15102
Cheney, E. W.; Goldstein, A. A.
4
1965
Convex programming and optimal control. Zbl 0143.21701
Goldstein, A. A.
2
1965
Rational approximations on finite point sets. Zbl 0263.65015
Fox, P.; Goldstein, A. A.; Lastman, G.
1
1965
Convex programming in Hilbert space. Zbl 0142.17101
Goldstein, A. A.
158
1964
Minimizing functionals on Hilbert space. Zbl 0151.21005
Goldstein, A. A.
4
1964
On the stability of rational approximation. Zbl 0115.11801
Goldstein, A. A.
6
1963
Cauchy’s method of minimization. Zbl 0105.10201
Goldstein, A. A.
14
1962
Tschebycheff approximation in locally convex spaces. Zbl 0107.10202
Cheney, E. W.; Goldstein, A. A.
3
1962
Newton’s method for convex programming and Tschebyscheff approximation. Zbl 0113.10703
Cheney, E. W.; Goldstein, A. A.
108
1959
Proximity maps for convex sets. Zbl 0092.11403
Cheney, Ward; Goldstein, Allen A.
70
1959
A finite algorithm for the solution of consistent linear equations and inequalities and for the Tchebycheff approximation of inconsistent linear equations. Zbl 0084.01902
Goldstein, Allen A.; Cheney, Ward
9
1958
Note on a paper by Zuhovickiĭ concerning the Tchebycheff problem for linear equations. Zbl 0086.01801
Cheney, Ward; Goldstein, Allen A.
3
1958
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Cited by 956 Authors

17 Goldstein, Allen A.
11 Lemaréchal, Claude
9 Polak, Elijah (Lucien)
9 Shi, Zhenjun
8 Dunham, Charles B.
8 Gaudioso, Manlio
7 Dunn, John C.
7 Wolfe, Jerry M.
6 Gibali, Aviv
6 Iiduka, Hideaki
6 Ritter, Klaus
6 Shen, Jie
5 Fuduli, Antonio
5 Han, Deren
5 Krabs, Werner
5 Peypouquet, Juan
5 Reich, Simeon
5 Yuan, Xiaoming
4 Bauschke, Heinz H.
4 Braess, Dietrich
4 Combettes, Patrick L.
4 Dai, Yu-Hong
4 Glashoff, Klaus
4 He, Bingsheng
4 Jian, Jinbao
4 Mayne, David Q.
4 Mifflin, Robert
4 Ouorou, Adam
4 Pourciau, Bruce H.
4 Tang, Chunming
4 Wang, Changyu
4 Yousefpour, Rohollah
4 Zalas, Rafał
4 Zhang, Liansheng
3 Andrei, Neculai
3 Balashov, Maxim Viktorovich
3 Best, Michael J.
3 Cegielski, Andrzej
3 Charles, Vincent
3 Chen, Anthony
3 Cheney, Elliott Ward jun.
3 Dennis, John E. jun.
3 Dubeau, François
3 Dương Việt Thông
3 Fletcher, Roger
3 Floudas, Christodoulos Achilleus
3 Giallombardo, Giovanni
3 Goberna, Miguel Angel
3 Grigoriadis, Karolos M.
3 Guo, Qiang
3 Helou, Elias Salomão
3 Huang, Chih-Peng
3 Jaumard, Brigitte
3 Johnson, Glenn Eric
3 Lenard, Melanie L.
3 Li, Duan
3 Li, Min
3 Lin, Tzu-Chu
3 Liu, Jian Guo
3 Liu, Shuai
3 Lorenz, Dirk Alfred
3 Loreto, Milagros C.
3 Magoulas, George D.
3 Mahdavi-Amiri, Nezam
3 Mamat, Mustafa Bin
3 Mavrides, Lazaros P.
3 McCormick, Garth Philip
3 Oren, Shmuel S.
3 Patriksson, Michael
3 Penot, Jean-Paul
3 Plastria, Frank
3 Polyak, Boris Teodorovich
3 Raydan, Marcos
3 Rustem, Berc
3 Sagastizábal, Claudia A.
3 Santos, Sandra Augusta
3 Shen, Jie
3 Simões, Lucas Eduardo Azevedo
3 Sun, Wenyu
3 Townsend, M. A.
3 Tseng, Paul
3 Tuy, Hoang
3 Vrahatis, Michael N.
3 Xiu, Naihua
3 Yamada, Isao
2 Amann, Herbert
2 Androulakis, George S.
2 Attouch, Hedy
2 Avriel, Mordecai
2 Azhmyakov, Vadim
2 Bagirov, Adil M.
2 Bardhan, Indrajit
2 Beliakov, Gleb
2 Bello Cruz, Jose Yunier
2 Ben-Israel, Adi
2 Bnouhachem, Abdellah
2 Boggs, Paul T.
2 Bouhamidi, Abderrahman
2 Bräuninger, Jürgen
2 Bredies, Kristian
...and 856 more Authors
all top 5

Cited in 162 Serials

76 Journal of Optimization Theory and Applications
30 Journal of Approximation Theory
30 Mathematical Programming. Series A. Series B
28 Mathematical Programming
28 Numerische Mathematik
26 Journal of Computational and Applied Mathematics
25 Applied Mathematics and Computation
19 Optimization
18 Computing
18 Numerical Algorithms
18 Computational Optimization and Applications
16 European Journal of Operational Research
14 Journal of Mathematical Analysis and Applications
14 Journal of Global Optimization
13 Journal of Computer and System Sciences
12 SIAM Journal on Optimization
11 Computers & Mathematics with Applications
11 Numerical Functional Analysis and Optimization
11 Optimization Methods & Software
7 Mathematics of Computation
7 Applied Mathematics and Optimization
7 Automatica
7 Computers & Operations Research
7 Optimization Letters
5 Journal of the Franklin Institute
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Annals of Operations Research
5 Linear Algebra and its Applications
5 Journal of Applied Mathematics and Computing
5 Fixed Point Theory and Applications
4 Computer Methods in Applied Mechanics and Engineering
4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
4 Journal of Soviet Mathematics
4 Journal of Applied Mathematics
3 Archive for Rational Mechanics and Analysis
3 Mathematical Notes
3 Mathematische Zeitschrift
3 Optimal Control Applications & Methods
3 Journal of Complexity
3 BIT. Nordisk Tidskrift for Informationsbehandling
3 Journal of Fixed Point Theory and Applications
3 Nonlinear Analysis. Theory, Methods & Applications
2 Discrete Applied Mathematics
2 International Journal of Mathematical Education in Science and Technology
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Aplikace Matematiky
2 Calcolo
2 Journal of Functional Analysis
2 Kybernetika
2 Proceedings of the American Mathematical Society
2 Rendiconti del Seminario Matemàtico e Fisico di Milano
2 Siberian Mathematical Journal
2 Applied Numerical Mathematics
2 Acta Mathematicae Applicatae Sinica. English Series
2 Journal of Economic Dynamics & Control
2 Applied Mathematics Letters
2 Journal of Scientific Computing
2 Computational Mathematics and Mathematical Physics
2 Aequationes Mathematicae
2 Applied Mathematical Modelling
2 Computational and Applied Mathematics
2 Top
2 Advances in Computational Mathematics
2 The Journal of Fourier Analysis and Applications
2 Mathematical Problems in Engineering
2 Abstract and Applied Analysis
2 Structural and Multidisciplinary Optimization
2 Bulletin of the American Mathematical Society
2 Bulletin de la Société Mathématique de France. Supplément. Mémoires
2 Science China. Mathematics
1 Analysis Mathematica
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 Computer Physics Communications
1 International Journal of Systems Science
1 Israel Journal of Mathematics
1 Journal of Computational Physics
1 Journal of Engineering Mathematics
1 Mathematical Biosciences
1 Metrika
1 Rocky Mountain Journal of Mathematics
1 Chaos, Solitons and Fractals
1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques
1 BIT
1 Fuzzy Sets and Systems
1 Information Sciences
1 Journal of Econometrics
1 Journal of the Korean Mathematical Society
1 Mathematische Annalen
1 Mathematics and Computers in Simulation
1 Networks
1 RAIRO. Analyse Numérique
1 SIAM Journal on Control and Optimization
1 Theoretical Computer Science
1 Transactions of the American Mathematical Society
1 Topology and its Applications
1 OR Spektrum
1 Systems & Control Letters
1 Operations Research Letters
...and 62 more Serials
all top 5

Cited in 38 Fields

414 Operations research, mathematical programming (90-XX)
300 Numerical analysis (65-XX)
150 Calculus of variations and optimal control; optimization (49-XX)
63 Approximations and expansions (41-XX)
60 Operator theory (47-XX)
35 Computer science (68-XX)
27 Systems theory; control (93-XX)
16 Functional analysis (46-XX)
14 Mechanics of deformable solids (74-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
13 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12 Real functions (26-XX)
11 Partial differential equations (35-XX)
9 Global analysis, analysis on manifolds (58-XX)
9 Statistics (62-XX)
7 Convex and discrete geometry (52-XX)
7 Information and communication theory, circuits (94-XX)
5 General topology (54-XX)
5 Biology and other natural sciences (92-XX)
3 General and overarching topics; collections (00-XX)
3 Functions of a complex variable (30-XX)
3 Ordinary differential equations (34-XX)
3 Probability theory and stochastic processes (60-XX)
2 Mathematical logic and foundations (03-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Fluid mechanics (76-XX)
2 Optics, electromagnetic theory (78-XX)
2 Quantum theory (81-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Algebraic geometry (14-XX)
1 Sequences, series, summability (40-XX)
1 Mechanics of particles and systems (70-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)

Citations by Year