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Dennis, John E. jun.

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Author ID: dennis.john-e-jun Recent zbMATH articles by "Dennis, John E. jun."
Published as: Dennis, J. E. jun.; Dennis, John E. jun.; Dennis, J. E.; Dennis, John
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Documents Indexed: 81 Publications since 1967, including 3 Books
Biographic References: 2 Publications

Publications by Year

Citations contained in zbMATH Open

76 Publications have been cited 3,406 times in 2,449 Documents Cited by Year
Numerical methods for unconstrained optimization and nonlinear equations. Zbl 0579.65058
Dennis, J. E. jun.; Schnabel, Robert B.
722
1983
Quasi-Newton methods, motivation and theory. Zbl 0356.65041
Dennis, J. E. jun.; More, Jorge J.
311
1977
Numerical methods for unconstrained optimization and nonlinear equations. Repr. Zbl 0847.65038
Dennis, J. E. jun.; Schnabel, Robert B.
303
1996
A characterization of superlinear convergence and its application to quasi-Newton methods. Zbl 0282.65042
Dennis, J. E. jun.; More, Jorge J.
187
1974
Mesh adaptive direct search algorithms for constrained optimization. Zbl 1112.90078
Audet, Charles; Dennis, J. E. jun.
173
2006
On the local and superlinear convergence of quasi-Newton methods. Zbl 0282.65041
Broyden, C. G.; Dennis, J. E. jun.; More, Jorge J.
146
1973
Normal-boundary intersection: A new method for generating the Pareto surface in nonlinear multicriteria optimization problems. Zbl 0911.90287
Das, Indraneel; Dennis, J. E.
139
1998
Analysis of generalized pattern searches. Zbl 1053.90118
Audet, Charles; Dennis, J. E. jun.
97
2003
A pattern search filter method for nonlinear programming without derivatives. Zbl 1073.90066
Audet, Charles; Dennis, J. E. jun.
79
2004
A progressive barrier for derivative-free nonlinear programming. Zbl 1187.90266
Audet, Charles; Dennis, J. E. jun.
63
2009
A trust region strategy for nonlinear equality constrained optimization. Zbl 0566.65048
Celis, M. R.; Dennis, J. E.; Tapia, R. A.
62
1985
An adaptive nonlinear least-squares algorithm. Zbl 0464.65040
Dennis, John E. jun.; Gay, David M.; Welsch, Roy E.
59
1981
The algebraic theory of matrix polynomials. Zbl 0361.15013
Dennis, J. E. jun.; Traub, J. F.; Weber, R. P.
53
1976
OrthoMADS: A deterministic MADS instance with orthogonal directions. Zbl 1189.90202
Abramson, Mark A.; Audet, Charles; Dennis, J. E. jun.; Le Digabel, Sébastien
53
2009
Least change secant updates for quasi-Newton methods. Zbl 0424.65020
Dennis, J. E. jun.; Schnabel, Robert B.
52
1979
Sizing and least-change secant methods. Zbl 0802.65081
Dennis, J. E. jun.; Wolkowicz, Henry
49
1993
Convergence theorems for least-change secant update methods. Zbl 0527.65032
Dennis, J. E. jun.; Walker, Homer F.
47
1981
A global convergence theory for general trust-region-based algorithms for equality constrained optimization. Zbl 0867.65031
Dennis, J. E. jun.; El-Alem, Mahmoud; Maciel, Maria C.
38
1997
Direct search methods on parallel machines. Zbl 0754.90051
Dennis, J. E. jun.; Torczon, Virginia
35
1991
On Newton-like methods. Zbl 0165.17303
Dennis, J. E. jun.
33
1968
Trust-region interior-point SQP algorithms for a class of nonlinear programming problems. Zbl 0921.90137
Dennis, J. E.; Heinkenschloss, Matthias; Vicente, Luís N.
33
1998
Two new unconstrained optimization algorithms which use function and gradient values. Zbl 0388.65022
Dennis, J. E. jun.; Mei, H. H. W.
32
1979
Pattern search algorithms for mixed variable programming. Zbl 1035.90048
Audet, Charles; Dennis, J. E. jun.
30
2000
On the Kantorovich hypothesis for Newton’s method. Zbl 0221.65098
Dennis, J. E. jun.
30
1969
Convergence theory for the structured BFGS secant method with an application to nonlinear least squares. Zbl 0645.65026
Dennis, J. E. jun.; Martinez, H. J.; Tapia, R. A.
29
1989
Optimal aeroacoustic shape design using the surrogate management framework. Zbl 1116.90417
Marsden, Alison L.; Wang, Meng; Dennis, John E. jun.; Moin, Parviz
28
2004
Derivative free analogues of the Levenberg-Marquardt and Gauss algorithms for nonlinear least squares approximation. Zbl 0235.65043
Brown, Kenneth M.; Dennis, J. E. jun.
27
1972
On the superlinear and quadratic convergence of primal-dual interior point linear programming algorithms. Zbl 0763.90066
Zhang, Yin; Tapia, Richard A.; Dennis, John E. jun.
27
1992
Problem formulation for multidisciplinary optimization. Zbl 0818.65055
Cramer, Evin J.; Dennis, J. E. jun.; Frank, Paul D.; Lewis, Robert Michael; Shubin, Gregory R.
26
1994
Using simplex gradients of nonsmooth functions in direct search methods. Zbl 1156.65059
Custódio, A. L.; Dennis, J. E. jun.; Vicente, L. N.
26
2008
Toward a unified convergence theory for Newton-like methods. Zbl 0276.65029
Dennis, J. E. jun.
25
1971
A trust-region approach to nonlinear systems of equalities and inequalities. Zbl 0957.65058
Dennis, J. E. jun.; El-Alem, Mahmoud; Williamson, Karen
23
1999
A unified approach to global convergence of trust region methods for nonsmooth optimization. Zbl 0835.90086
Dennis, John E. jun.; Li, Shou-Bai B.; Tapia, Richard A.
22
1995
Trailing-edge noise reduction using derivative-free optimization and large eddy simulation. Zbl 1145.76044
Marsden, Alison L.; Wang, Meng; Dennis, J. E. jun.; Moin, Parviz
21
2007
Globalization strategies for mesh adaptive direct search. Zbl 1190.90204
Audet, Charles; Dennis, J. E. jun.; Le Digabel, Sébastien
20
2010
A variable-metric variant of the Karmarkar algorithm for linear programming. Zbl 0635.90058
Dennis, J. E. jun.; Morshedi, A. M.; Turner, Kathryn
19
1987
Algorithms for solvents of matrix polynomials. Zbl 0386.65012
Dennis, J. E. jun.; Traub, J. F.; Weber, R. P.
18
1978
Parallel space decomposition of the mesh adaptive direct search algorithm. Zbl 1180.90363
Audet, Charles; Dennis, J. E. jun.; Le Digabel, Sébastien
17
2008
Optimization using surrogate objectives on a helicopter test example. Zbl 0937.76067
Booker, Andrew J.; Dennis, J. E. jun.; Frank, Paul D.; Serafini, David B.; Torczon, Virginia
17
1998
A stability analysis for perturbed nonlinear iterative methods. Zbl 0337.65032
Boggs, Paul T.; Dennis, J. E. jun.
16
1976
On the convergence of Broyden’s method for nonlinear systems of equations. Zbl 0277.65030
Dennis, J. E. jun.
14
1971
Mixed variable optimization of the number and composition of heat intercepts in a thermal insulation system. Zbl 1078.90595
Kokkolaras, Michael; Audet, Charles; Dennis, J. E. jun.
14
2001
Filter pattern search algorithms for mixed variable constrained optimization problems. Zbl 1138.65043
Abramson, Mark A.; Audet, Charles; Dennis, J. E. jun.
14
2007
Direct secant updates of matrix factorizations. Zbl 0482.65028
Dennis, J. E. jun.; Marwil, Earl S.
13
1982
On the convergence theory of trust-region-based algorithms for equality-constrained optimization. Zbl 0891.65073
Dennis, J. E.; Vicente, Luís N.
12
1997
Generalized conjugate directions. Zbl 0644.65025
Dennis, J. E. jun.; Turner, Kathryn
12
1987
Techniques for nonlinear least squares and robust regression. Zbl 0395.62046
Dennis, John E. jun.; Welsch, Roy E.
11
1978
Trust-region interior-point algorithms for minimization problems with simple bounds. Zbl 0907.65056
Dennis, J. E.; Vicente, Luis N.
11
1996
Pattern search in the presence of degenerate linear constraints. Zbl 1162.90588
Abramson, Mark A.; Brezhneva, Olga A.; Dennis, J. E. jun.; Pingel, Rachael L.
10
2008
A new type of Chebyshev quadrature. Zbl 0176.14302
Barnhill, R. E.; Dennis, J. E. jun.; Nielson, G. M.
8
1969
Inverse, shifted inverse, and Rayleigh quotient iteration as Newton’s method. Zbl 1382.65105
Tapia, Richard A.; Dennis, J. E. jun.; Schäfermeyer, Jan P.
7
2018
Triangular decomposition methods for solving reducible nonlinear systems of equations. Zbl 0814.65050
Dennis, J. E. jun.; Martínez, José Mario; Zhang, Xiaodong
7
1994
Direct search methods for nonlinearly constrained optimization using filters and frames. Zbl 1085.90054
Dennis, John E. jun.; Price, Christopher J.; Coope, Ian D.
7
2004
Generalized pattern searches with derivative information. Zbl 1146.90524
Abramson, Mark A.; Audet, Charles; Dennis, J. E. jun.
7
2004
Erratum: Mesh adaptive direct search algorithms for constrained optimization. Zbl 1166.90366
Audet, Charles; Custódio, A. L.; Dennis, J. E. jun.
6
2007
Quantitative object reconstruction using Abel transform X-ray tomography and mixed variable optimization. Zbl 1177.65200
Abramson, Mark A.; Asaki, Thomas J.; Dennis, J. E. jun.; O’Reilly, Kevin R.; Pingel, Rachael L.
6
2008
Numerical methods for unconstrained optimization and nonlinear equations. (Chislennye metody bezuslovnoj optimizatsii i resheniya nelinejnykh uravnenij). Transl. from the English. (Chislennye metody bezuslovnoj optimizatsii i resheniya nelinejnykh uravnenij.) Zbl 0671.65043
Dennis, J. E. jun.; Schnabel, Robert B.
6
1988
Inaccuracy in quasi-Newton methods: Local improvement theorems. Zbl 0566.65038
Dennis, J. E. jun.; Walker, Homer F.
5
1984
On the successive projections approach to least-squares problems. Zbl 0614.65059
Dennis, J. E. jun.; Steihaug, Trond
5
1986
An efficient class of direct search surrogate methods for solving expensive optimization problems with CPU-time-related functions. Zbl 1274.74006
Abramson, Mark A.; Asaki, Thomas J.; Dennis, John E. jun.; Magallanez, Raymond jun.; Sottile, Matthew J.
5
2012
On Newton’s method and nonlinear simultaneous displacements. Zbl 0149.36502
Dennis, J. E. jun.
4
1967
Suppression of vortex-shedding noise via derivative-free shape optimization. Zbl 1187.76332
Marsden, Alison L.; Wang, Meng; Dennis, J. E.; Moin, Parviz
4
2004
A curvilinear search using tridiagonal secant updates for unconstrained optimization. Zbl 0756.65088
Dennis, J. E. jun.; Echebest, N.; Guardarucci, M. T.; Martínez, J. M.; Scolnik, H. D.; Vacchino, C.
4
1991
Least-change sparse secant update methods with inaccurate secant conditions. Zbl 0597.65049
Dennis, J. E. jun.; Walker, Homer F.
4
1985
On the convergence of Newton-like methods. Zbl 0252.65045
Dennis, J. E. jun.
3
1970
A stationary Newton method for nonlinear functional equations. Zbl 0155.19503
Dennis, J. E. jun.
3
1967
On Newton-like iteration functions: General convergence theorems and a specific algorithm. Zbl 0176.13702
Brown, K. M.; Dennis, J. E. jun.
3
1968
On some methods based on Broyden’s secant approximation to the Hessian. Zbl 0303.65045
Dennis, J. E. jun.
3
1972
Multilevel algorithms for nonlinear optimization. Zbl 0834.90112
Alexandrov, Natalia; Dennis, J. E. jun.
2
1995
Some computational techniques for the nonlinear least squares problem. Zbl 0275.65020
Dennis, J. E. jun.
2
1973
Cubature and the Tchakaloff cone. Zbl 0194.47201
Dennis, J. E.; Goldstein, A. A.
2
1969
Parallel block triangular decompositions for solving sparse nonlinear systems of equations. Zbl 0789.65036
Dennis, John E. jun.; Martínez, J. Mario; Zhang, Xiaodong
1
1992
A brief introduction to quasi-Newton methods. Zbl 0397.65034
Dennis, J. E. jun.
1
1978
A memoryless augmented Gauss-Newton method for nonlinear least-squares problems. Zbl 0662.65054
Dennis, J. E. jun.; Sheng, Song-Bai; Phuong, Anh Vu
1
1988
Algorithms for nonlinear fitting. Zbl 0545.65007
Dennis, J. E. jun.
1
1982
Trade-off studies in blackbox optimization. Zbl 1260.90005
Audet, Charles; Dennis, J. E. jun.; Le Digabel, Sébastien
1
2012
Inverse, shifted inverse, and Rayleigh quotient iteration as Newton’s method. Zbl 1382.65105
Tapia, Richard A.; Dennis, J. E. jun.; Schäfermeyer, Jan P.
7
2018
An efficient class of direct search surrogate methods for solving expensive optimization problems with CPU-time-related functions. Zbl 1274.74006
Abramson, Mark A.; Asaki, Thomas J.; Dennis, John E. jun.; Magallanez, Raymond jun.; Sottile, Matthew J.
5
2012
Trade-off studies in blackbox optimization. Zbl 1260.90005
Audet, Charles; Dennis, J. E. jun.; Le Digabel, Sébastien
1
2012
Globalization strategies for mesh adaptive direct search. Zbl 1190.90204
Audet, Charles; Dennis, J. E. jun.; Le Digabel, Sébastien
20
2010
A progressive barrier for derivative-free nonlinear programming. Zbl 1187.90266
Audet, Charles; Dennis, J. E. jun.
63
2009
OrthoMADS: A deterministic MADS instance with orthogonal directions. Zbl 1189.90202
Abramson, Mark A.; Audet, Charles; Dennis, J. E. jun.; Le Digabel, Sébastien
53
2009
Using simplex gradients of nonsmooth functions in direct search methods. Zbl 1156.65059
Custódio, A. L.; Dennis, J. E. jun.; Vicente, L. N.
26
2008
Parallel space decomposition of the mesh adaptive direct search algorithm. Zbl 1180.90363
Audet, Charles; Dennis, J. E. jun.; Le Digabel, Sébastien
17
2008
Pattern search in the presence of degenerate linear constraints. Zbl 1162.90588
Abramson, Mark A.; Brezhneva, Olga A.; Dennis, J. E. jun.; Pingel, Rachael L.
10
2008
Quantitative object reconstruction using Abel transform X-ray tomography and mixed variable optimization. Zbl 1177.65200
Abramson, Mark A.; Asaki, Thomas J.; Dennis, J. E. jun.; O’Reilly, Kevin R.; Pingel, Rachael L.
6
2008
Trailing-edge noise reduction using derivative-free optimization and large eddy simulation. Zbl 1145.76044
Marsden, Alison L.; Wang, Meng; Dennis, J. E. jun.; Moin, Parviz
21
2007
Filter pattern search algorithms for mixed variable constrained optimization problems. Zbl 1138.65043
Abramson, Mark A.; Audet, Charles; Dennis, J. E. jun.
14
2007
Erratum: Mesh adaptive direct search algorithms for constrained optimization. Zbl 1166.90366
Audet, Charles; Custódio, A. L.; Dennis, J. E. jun.
6
2007
Mesh adaptive direct search algorithms for constrained optimization. Zbl 1112.90078
Audet, Charles; Dennis, J. E. jun.
173
2006
A pattern search filter method for nonlinear programming without derivatives. Zbl 1073.90066
Audet, Charles; Dennis, J. E. jun.
79
2004
Optimal aeroacoustic shape design using the surrogate management framework. Zbl 1116.90417
Marsden, Alison L.; Wang, Meng; Dennis, John E. jun.; Moin, Parviz
28
2004
Direct search methods for nonlinearly constrained optimization using filters and frames. Zbl 1085.90054
Dennis, John E. jun.; Price, Christopher J.; Coope, Ian D.
7
2004
Generalized pattern searches with derivative information. Zbl 1146.90524
Abramson, Mark A.; Audet, Charles; Dennis, J. E. jun.
7
2004
Suppression of vortex-shedding noise via derivative-free shape optimization. Zbl 1187.76332
Marsden, Alison L.; Wang, Meng; Dennis, J. E.; Moin, Parviz
4
2004
Analysis of generalized pattern searches. Zbl 1053.90118
Audet, Charles; Dennis, J. E. jun.
97
2003
Mixed variable optimization of the number and composition of heat intercepts in a thermal insulation system. Zbl 1078.90595
Kokkolaras, Michael; Audet, Charles; Dennis, J. E. jun.
14
2001
Pattern search algorithms for mixed variable programming. Zbl 1035.90048
Audet, Charles; Dennis, J. E. jun.
30
2000
A trust-region approach to nonlinear systems of equalities and inequalities. Zbl 0957.65058
Dennis, J. E. jun.; El-Alem, Mahmoud; Williamson, Karen
23
1999
Normal-boundary intersection: A new method for generating the Pareto surface in nonlinear multicriteria optimization problems. Zbl 0911.90287
Das, Indraneel; Dennis, J. E.
139
1998
Trust-region interior-point SQP algorithms for a class of nonlinear programming problems. Zbl 0921.90137
Dennis, J. E.; Heinkenschloss, Matthias; Vicente, Luís N.
33
1998
Optimization using surrogate objectives on a helicopter test example. Zbl 0937.76067
Booker, Andrew J.; Dennis, J. E. jun.; Frank, Paul D.; Serafini, David B.; Torczon, Virginia
17
1998
A global convergence theory for general trust-region-based algorithms for equality constrained optimization. Zbl 0867.65031
Dennis, J. E. jun.; El-Alem, Mahmoud; Maciel, Maria C.
38
1997
On the convergence theory of trust-region-based algorithms for equality-constrained optimization. Zbl 0891.65073
Dennis, J. E.; Vicente, Luís N.
12
1997
Numerical methods for unconstrained optimization and nonlinear equations. Repr. Zbl 0847.65038
Dennis, J. E. jun.; Schnabel, Robert B.
303
1996
Trust-region interior-point algorithms for minimization problems with simple bounds. Zbl 0907.65056
Dennis, J. E.; Vicente, Luis N.
11
1996
A unified approach to global convergence of trust region methods for nonsmooth optimization. Zbl 0835.90086
Dennis, John E. jun.; Li, Shou-Bai B.; Tapia, Richard A.
22
1995
Multilevel algorithms for nonlinear optimization. Zbl 0834.90112
Alexandrov, Natalia; Dennis, J. E. jun.
2
1995
Problem formulation for multidisciplinary optimization. Zbl 0818.65055
Cramer, Evin J.; Dennis, J. E. jun.; Frank, Paul D.; Lewis, Robert Michael; Shubin, Gregory R.
26
1994
Triangular decomposition methods for solving reducible nonlinear systems of equations. Zbl 0814.65050
Dennis, J. E. jun.; Martínez, José Mario; Zhang, Xiaodong
7
1994
Sizing and least-change secant methods. Zbl 0802.65081
Dennis, J. E. jun.; Wolkowicz, Henry
49
1993
On the superlinear and quadratic convergence of primal-dual interior point linear programming algorithms. Zbl 0763.90066
Zhang, Yin; Tapia, Richard A.; Dennis, John E. jun.
27
1992
Parallel block triangular decompositions for solving sparse nonlinear systems of equations. Zbl 0789.65036
Dennis, John E. jun.; Martínez, J. Mario; Zhang, Xiaodong
1
1992
Direct search methods on parallel machines. Zbl 0754.90051
Dennis, J. E. jun.; Torczon, Virginia
35
1991
A curvilinear search using tridiagonal secant updates for unconstrained optimization. Zbl 0756.65088
Dennis, J. E. jun.; Echebest, N.; Guardarucci, M. T.; Martínez, J. M.; Scolnik, H. D.; Vacchino, C.
4
1991
Convergence theory for the structured BFGS secant method with an application to nonlinear least squares. Zbl 0645.65026
Dennis, J. E. jun.; Martinez, H. J.; Tapia, R. A.
29
1989
Numerical methods for unconstrained optimization and nonlinear equations. (Chislennye metody bezuslovnoj optimizatsii i resheniya nelinejnykh uravnenij). Transl. from the English. (Chislennye metody bezuslovnoj optimizatsii i resheniya nelinejnykh uravnenij.) Zbl 0671.65043
Dennis, J. E. jun.; Schnabel, Robert B.
6
1988
A memoryless augmented Gauss-Newton method for nonlinear least-squares problems. Zbl 0662.65054
Dennis, J. E. jun.; Sheng, Song-Bai; Phuong, Anh Vu
1
1988
A variable-metric variant of the Karmarkar algorithm for linear programming. Zbl 0635.90058
Dennis, J. E. jun.; Morshedi, A. M.; Turner, Kathryn
19
1987
Generalized conjugate directions. Zbl 0644.65025
Dennis, J. E. jun.; Turner, Kathryn
12
1987
On the successive projections approach to least-squares problems. Zbl 0614.65059
Dennis, J. E. jun.; Steihaug, Trond
5
1986
A trust region strategy for nonlinear equality constrained optimization. Zbl 0566.65048
Celis, M. R.; Dennis, J. E.; Tapia, R. A.
62
1985
Least-change sparse secant update methods with inaccurate secant conditions. Zbl 0597.65049
Dennis, J. E. jun.; Walker, Homer F.
4
1985
Inaccuracy in quasi-Newton methods: Local improvement theorems. Zbl 0566.65038
Dennis, J. E. jun.; Walker, Homer F.
5
1984
Numerical methods for unconstrained optimization and nonlinear equations. Zbl 0579.65058
Dennis, J. E. jun.; Schnabel, Robert B.
722
1983
Direct secant updates of matrix factorizations. Zbl 0482.65028
Dennis, J. E. jun.; Marwil, Earl S.
13
1982
Algorithms for nonlinear fitting. Zbl 0545.65007
Dennis, J. E. jun.
1
1982
An adaptive nonlinear least-squares algorithm. Zbl 0464.65040
Dennis, John E. jun.; Gay, David M.; Welsch, Roy E.
59
1981
Convergence theorems for least-change secant update methods. Zbl 0527.65032
Dennis, J. E. jun.; Walker, Homer F.
47
1981
Least change secant updates for quasi-Newton methods. Zbl 0424.65020
Dennis, J. E. jun.; Schnabel, Robert B.
52
1979
Two new unconstrained optimization algorithms which use function and gradient values. Zbl 0388.65022
Dennis, J. E. jun.; Mei, H. H. W.
32
1979
Algorithms for solvents of matrix polynomials. Zbl 0386.65012
Dennis, J. E. jun.; Traub, J. F.; Weber, R. P.
18
1978
Techniques for nonlinear least squares and robust regression. Zbl 0395.62046
Dennis, John E. jun.; Welsch, Roy E.
11
1978
A brief introduction to quasi-Newton methods. Zbl 0397.65034
Dennis, J. E. jun.
1
1978
Quasi-Newton methods, motivation and theory. Zbl 0356.65041
Dennis, J. E. jun.; More, Jorge J.
311
1977
The algebraic theory of matrix polynomials. Zbl 0361.15013
Dennis, J. E. jun.; Traub, J. F.; Weber, R. P.
53
1976
A stability analysis for perturbed nonlinear iterative methods. Zbl 0337.65032
Boggs, Paul T.; Dennis, J. E. jun.
16
1976
A characterization of superlinear convergence and its application to quasi-Newton methods. Zbl 0282.65042
Dennis, J. E. jun.; More, Jorge J.
187
1974
On the local and superlinear convergence of quasi-Newton methods. Zbl 0282.65041
Broyden, C. G.; Dennis, J. E. jun.; More, Jorge J.
146
1973
Some computational techniques for the nonlinear least squares problem. Zbl 0275.65020
Dennis, J. E. jun.
2
1973
Derivative free analogues of the Levenberg-Marquardt and Gauss algorithms for nonlinear least squares approximation. Zbl 0235.65043
Brown, Kenneth M.; Dennis, J. E. jun.
27
1972
On some methods based on Broyden’s secant approximation to the Hessian. Zbl 0303.65045
Dennis, J. E. jun.
3
1972
Toward a unified convergence theory for Newton-like methods. Zbl 0276.65029
Dennis, J. E. jun.
25
1971
On the convergence of Broyden’s method for nonlinear systems of equations. Zbl 0277.65030
Dennis, J. E. jun.
14
1971
On the convergence of Newton-like methods. Zbl 0252.65045
Dennis, J. E. jun.
3
1970
On the Kantorovich hypothesis for Newton’s method. Zbl 0221.65098
Dennis, J. E. jun.
30
1969
A new type of Chebyshev quadrature. Zbl 0176.14302
Barnhill, R. E.; Dennis, J. E. jun.; Nielson, G. M.
8
1969
Cubature and the Tchakaloff cone. Zbl 0194.47201
Dennis, J. E.; Goldstein, A. A.
2
1969
On Newton-like methods. Zbl 0165.17303
Dennis, J. E. jun.
33
1968
On Newton-like iteration functions: General convergence theorems and a specific algorithm. Zbl 0176.13702
Brown, K. M.; Dennis, J. E. jun.
3
1968
On Newton’s method and nonlinear simultaneous displacements. Zbl 0149.36502
Dennis, J. E. jun.
4
1967
A stationary Newton method for nonlinear functional equations. Zbl 0155.19503
Dennis, J. E. jun.
3
1967
all top 5

Cited by 3,320 Authors

52 Martínez, José Mario
34 Argyros, Ioannis Konstantinos
28 Audet, Charles
27 Zhu, Detong
25 Toint, Philippe L.
18 Kelley, Carl T.
18 Leong, Wah June
18 Lucidi, Stefano
18 Vicente, Luis Nunes
17 Le Digabel, Sébastien
17 Ma, Changfeng
15 Qi, Liqun
15 Wei, Zengxin
15 Yuan, Gonglin
14 Cai, Xiao-Chuan
14 Dennis, John E. jun.
14 Nadarajah, Saralees
14 Santos, Sandra Augusta
14 Scitovski, Rudolf
13 Andrei, Neculai
12 Tapia, Richard A.
11 Hare, Warren L.
11 Jukić, Dragan
11 Morini, Benedetta
11 Yuan, Ya-xiang
11 Zhang, Jianzhong
10 Birgin, Ernesto G.
10 Fukushima, Masao
10 Gasparo, Maria Grazia
10 Gratton, Serge
10 Marsden, Alison L.
10 Nocedal, Jorge
10 Pu, Dingguo
10 Sachs, Ekkehard W.
10 Sun, Wenyu
10 Watson, Layne Terry
9 Bellavia, Stefania
9 Conn, Andrew Roger
9 Ferreira, Orizon Pereira
9 Griewank, Andreas
9 Hilout, Saïd
9 Kanzow, Christian
9 Li, Donghui
9 Rinaldi, Francesco
9 Shieh, Leang-San
9 Zhang, Yin
8 Byrd, Richard H.
8 Fang, Shu-Cherng
8 Gu, Chao
8 Hernández-Verón, Miguel Ángel
8 Liuzzi, Giampaolo
8 Lukšan, Ladislav
8 Ni, Qin
8 Schütze, Oliver
8 Singer, Hermann
8 Vrahatis, Michael N.
8 Waziri, Mohammed Yusuf
8 Yang, Chao
8 Yang, Haijian
7 Bewley, Thomas R.
7 Chen, Xiaojun
7 Coleman, Thomas F.
7 Fernandes, Edite M. G. P.
7 Ford, John A.
7 Harbrecht, Helmut
7 Hassan, Malik Abu
7 Keyes, David Elliot
7 Krejić, Nataša
7 Macconi, Maria
7 Potra, Florian-Alexandru
7 Powell, Michael James David
7 Raydan, Marcos
7 Regis, Rommel G.
7 Sabo, Kristian
7 Steihaug, Trond
7 Yamamoto, Tetsuro
7 Ypma, Tjalling J.
6 Abramson, Mark A.
6 Al-Baali, Mehiddin
6 Costa, M. Fernanda P.
6 Custódio, Ana Luísa
6 Diniz-Ehrhardt, Maria Aparecida
6 El-Alem, Mahmoud M.
6 El-Sobky, Bothina
6 Gilbert, Jean Charles
6 Gould, Nicholas Ian Mark
6 Jódar Sanchez, Lucas Antonio
6 Karas, Elizabeth W.
6 la Cruz, William
6 Mahdavi-Amiri, Nezam
6 Marcia, Roummel F.
6 Noll, Dominikus
6 Porcelli, Margherita
6 Price, Christopher John
6 Rocha, Ana Maria A. C.
6 Schnabel, Robert B.
6 Shadid, John N.
6 Solodov, Mikhail V.
6 Spedicato, Emilio
6 Su, Ke
...and 3,220 more Authors
all top 5

Cited in 339 Serials

151 Journal of Optimization Theory and Applications
140 Journal of Computational and Applied Mathematics
114 Applied Mathematics and Computation
106 Computational Optimization and Applications
91 Mathematical Programming. Series A. Series B
88 Optimization Methods & Software
64 Computers & Mathematics with Applications
61 Journal of Computational Physics
61 Journal of Global Optimization
55 Computer Methods in Applied Mechanics and Engineering
50 Numerical Algorithms
50 Optimization and Engineering
46 Applied Numerical Mathematics
41 European Journal of Operational Research
40 Computing
37 Mathematical Programming
37 SIAM Journal on Optimization
36 Mathematics of Computation
36 Optimization
35 Numerische Mathematik
28 Optimization Letters
27 Linear Algebra and its Applications
24 Numerical Functional Analysis and Optimization
21 Information Sciences
21 International Journal of Computer Mathematics
21 Structural and Multidisciplinary Optimization
19 Automatica
19 Applied Mathematical Modelling
18 Computational Statistics and Data Analysis
17 Applied Mathematics Letters
17 Computational and Applied Mathematics
17 Journal of Applied Mathematics and Computing
16 International Journal of Control
16 SIAM Journal on Scientific Computing
15 Computers and Fluids
15 International Journal for Numerical Methods in Engineering
15 Annals of Operations Research
14 Calcolo
14 Mathematical Problems in Engineering
13 Operations Research Letters
13 Computers & Operations Research
12 Journal of the Franklin Institute
12 Journal of Mathematical Analysis and Applications
12 BIT
12 Journal of Scientific Computing
11 Mathematical and Computer Modelling
10 Computational Geosciences
9 Mathematics and Computers in Simulation
9 Mathematical Programming Computation
8 Computer Physics Communications
8 International Journal of Systems Science
8 Computational Mechanics
8 Journal of Economic Dynamics & Control
8 Journal of Applied Mathematics
7 Statistics
7 Top
7 S\(\vec{\text{e}}\)MA Journal
6 Journal of Fluid Mechanics
6 Journal of Econometrics
6 Acta Mathematicae Applicatae Sinica. English Series
6 Communications in Statistics. Simulation and Computation
6 Applied Mathematics. Series B (English Edition)
6 Engineering Analysis with Boundary Elements
6 Science China. Mathematics
5 Psychometrika
5 Kybernetika
5 SIAM Journal on Numerical Analysis
5 Transactions of the American Mathematical Society
5 Systems & Control Letters
5 Computer Aided Geometric Design
5 Journal of Complexity
5 SIAM Journal on Matrix Analysis and Applications
5 Neural Computation
5 Numerical Linear Algebra with Applications
5 International Journal of Applied Mathematics and Computer Science
5 The ANZIAM Journal
5 Nonlinear Analysis. Real World Applications
5 Algorithms
5 Set-Valued and Variational Analysis
4 International Journal for Numerical Methods in Fluids
4 Journal of Mathematical Biology
4 Linear and Multilinear Algebra
4 Mathematical Biosciences
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Applied Mathematics and Optimization
4 The Journal of Mathematical Sociology
4 Asia-Pacific Journal of Operational Research
4 Applications of Mathematics
4 Computational Statistics
4 Journal of Statistical Computation and Simulation
4 SIAM Review
4 Journal of Mathematical Sciences (New York)
4 International Transactions in Operational Research
4 European Journal of Control
4 Abstract and Applied Analysis
4 Journal of the Royal Statistical Society. Series B. Statistical Methodology
4 Acta Mathematica Sinica. English Series
4 Archives of Computational Methods in Engineering
4 Journal of Systems Science and Complexity
4 Mediterranean Journal of Mathematics
...and 239 more Serials
all top 5

Cited in 54 Fields

1,311 Operations research, mathematical programming (90-XX)
1,307 Numerical analysis (65-XX)
286 Calculus of variations and optimal control; optimization (49-XX)
173 Statistics (62-XX)
151 Fluid mechanics (76-XX)
126 Mechanics of deformable solids (74-XX)
116 Systems theory; control (93-XX)
91 Computer science (68-XX)
81 Partial differential equations (35-XX)
74 Biology and other natural sciences (92-XX)
71 Operator theory (47-XX)
69 Linear and multilinear algebra; matrix theory (15-XX)
46 Ordinary differential equations (34-XX)
43 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
36 Probability theory and stochastic processes (60-XX)
28 Approximations and expansions (41-XX)
26 Geophysics (86-XX)
25 Classical thermodynamics, heat transfer (80-XX)
20 Statistical mechanics, structure of matter (82-XX)
20 Information and communication theory, circuits (94-XX)
19 Mechanics of particles and systems (70-XX)
19 Optics, electromagnetic theory (78-XX)
15 Integral equations (45-XX)
13 Dynamical systems and ergodic theory (37-XX)
12 Global analysis, analysis on manifolds (58-XX)
9 Field theory and polynomials (12-XX)
9 Real functions (26-XX)
7 Algebraic geometry (14-XX)
6 Functions of a complex variable (30-XX)
6 Differential geometry (53-XX)
6 Quantum theory (81-XX)
5 Number theory (11-XX)
5 Special functions (33-XX)
5 Convex and discrete geometry (52-XX)
4 General and overarching topics; collections (00-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Functional analysis (46-XX)
3 Combinatorics (05-XX)
3 Commutative algebra (13-XX)
3 Difference and functional equations (39-XX)
3 Integral transforms, operational calculus (44-XX)
3 Geometry (51-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 General algebraic systems (08-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Astronomy and astrophysics (85-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

Citations by Year

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