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Fletcher, Roger (b. 1939 d. 2016)

Author ID: fletcher.roger Recent zbMATH articles by "Fletcher, Roger"
Published as: Fletcher, R.; Fletcher, Roger
Homepage: http://www.maths.dundee.ac.uk/~fletcher/
External Links: MGP · Wikidata · dblp · GND · IdRef
Documents Indexed: 99 Publications since 1963, including 4 Books
2 Contributions as Editor
Biographic References: 4 Publications
Co-Authors: 37 Co-Authors with 46 Joint Publications
990 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

97 Publications have been cited 5,926 times in 4,454 Documents Cited by Year
Practical methods of optimization. 2nd ed. Zbl 0905.65002
Fletcher, R.
1987
Function minimization by conjugate gradients. Zbl 0132.11701
Fletcher, R.; Reeves, C. M.
817
1964
A rapidly convergent descent method for minimization. Zbl 0132.11603
Fletcher, R.; Powell, M. J. D.
460
1963
A new approach to variable metric algorithm. Zbl 0207.17402
Fletcher, R.
373
1970
Nonlinear programming without a penalty function. Zbl 1049.90088
Fletcher, Roger; Leyffer, Sven
298
2002
Conjugate gradient methods for indefinite systems. Zbl 0326.65033
Fletcher, R.
222
1976
Practical methods of optimization. Vol. 1: Unconstrained optimization. Zbl 0439.93001
Fletcher, R.
183
1980
Practical methods of optimization. Vol. 2: Constrained optimization. Zbl 0474.65043
Fletcher, R.
173
1981
Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming. Zbl 1068.65073
Dai, Yu-Hong; Fletcher, Roger
146
2005
Solving mixed integer nonlinear programs by outer approximation. Zbl 0833.90088
Fletcher, Roger; Leyffer, Sven
144
1994
On the global convergence of a filter-SQP algorithm. Zbl 1029.65063
Fletcher, Roger; Leyffer, Sven; Toint, Philippe L.
144
2002
Global convergence of a trust-region SQP-filter algorithm for general nonlinear programming. Zbl 1038.90076
Fletcher, Roger; Gould, Nicholas I. M.; Leyffer, Sven; Toint, Philippe L.; Wächter, Andreas
126
2002
On the Barzilai-Borwein method. Zbl 1118.90318
Fletcher, Roger
108
2005
Local convergence of SQP methods for mathematical programs with equilibrium constraints. Zbl 1112.90098
Fletcher, Roger; Leyffer, Sven; Ralph, Danny; Scholtes, Stefan
92
2006
New algorithms for singly linearly constrained quadratic programs subject to lower and upper bounds. Zbl 1134.90030
Dai, Yu-Hong; Fletcher, Roger
75
2006
Solving mathematical programs with complementary constraints as nonlinear programs. Zbl 1074.90044
Fletcher, Roger; Leyffer, Sven
63
2004
A model algorithm for composite nondifferentiable optimization problems. Zbl 0478.90063
Fletcher, R.
60
1982
On the global convergence of an SLP-filter algorithm that takes EQP steps. Zbl 1023.90060
Chin, Choong Ming; Fletcher, Roger
58
2003
A class of methods for nonlinear programming with termination and convergence properties. Zbl 0332.90039
Fletcher, R.
56
1970
Semi-definite matrix constraints in optimization. Zbl 0567.90088
Fletcher, R.
51
1985
Practical methods of optimization. Repr. of the 2nd ed. Zbl 0988.65043
Fletcher, Roger
50
2001
An exact penalty function for nonlinear programming with inequalities. Zbl 0278.90063
Fletcher, R.
46
1973
On the asymptotic behaviour of some new gradient methods. Zbl 1099.90038
Dai, Yu-Hong; Fletcher, Roger
45
2005
Numerical experience with lower bounds for MIQP branch-and-bound. Zbl 0912.90225
Fletcher, Roger; Leyffer, Sven
45
1998
A general quadratic programming algorithm. Zbl 0226.90036
Fletcher, R.
34
1971
An algorithm for composite nonsmooth optimization problems. Zbl 0562.90077
Womersley, R. S.; Fletcher, R.
33
1986
An overview of unconstrained optimization. Zbl 0828.90123
Fletcher, R.
29
1994
A limited memory steepest descent method. Zbl 1254.90113
Fletcher, Roger
29
2012
New iterative methods for solution of the eigenproblem. Zbl 0202.43502
Bradbury, W. W.; Fletcher, R.
28
1966
Low storage methods for unconstrained optimization. Zbl 0699.65052
Fletcher, R.
27
1990
Variational methods for non-linear least-squares. Zbl 0578.65064
Al-Baali, M.; Fletcher, R.
27
1985
A nonmonotone filter method for nonlinear optimization. Zbl 1259.90140
Shen, Chungen; Leyffer, Sven; Fletcher, Roger
27
2012
An ideal penalty function for constrained optimization. Zbl 0325.90056
Fletcher, R.
26
1975
Function minimization without evaluating derivatives. A review. Zbl 0139.10401
Fletcher, R.
23
1965
Hybrid methods for nonlinear least squares. Zbl 0648.65051
Fletcher, R.; Xu, C.
23
1987
On the modification of LDL\(^T\) factorizations. Zbl 0293.65018
Fletcher, R.; Powell, M. J. D.
22
1974
Minimization of a quadratic function of many variables subject only to lower and upper bounds. Zbl 0301.90032
Fletcher, R.; Jackson, M. P.
21
1974
An algorithm for solving linearly constrained optimization problems. Zbl 0249.90067
Fletcher, R.
20
1972
The calculation of linear best \(L_ p\) approximations. Zbl 0225.65017
Fletcher, R.; Grant, J. A.; Hebden, M. D.
19
1971
Nonlinear programming and nonsmooth optimization by successive linear programming. Zbl 0724.90062
Fletcher, R.; Sainz de la Maza, E.
19
1989
Second order corrections for non-differentiable optimization. Zbl 0476.65048
Fletcher, R.
19
1982
A modified Newton method for minimization. Zbl 0348.65058
Fletcher, R.; Freeman, T. L.
18
1977
An optimal positive definite update for sparse Hessian matrices. Zbl 0824.65038
Fletcher, R.
17
1995
First and second order conditions for a class of nondifferentiable optimization problems. Zbl 0433.90066
Fletcher, R.; Watson, G. A.
17
1980
A new variational result for quasi-Newton formulae. Zbl 0752.90064
Fletcher, R.
16
1991
Penalty functions. Zbl 0542.90087
Fletcher, R.
15
1983
An efficient line search for nonlinear least squares. Zbl 0562.90074
Al-Baali, M.; Fletcher, R.
15
1986
An ideal penalty function for constrained optimization. Zbl 0322.90053
Fletcher, R.
14
1975
An \(\ell _ 1\) penalty method for nonlinear constraints. Zbl 0583.65043
Fletcher, R.
14
1985
Factorizing symmetric indefinite matrices. Zbl 0336.65022
Fletcher, R.
14
1976
A nonlinear programming problem in statistics (educational testing). Zbl 0475.62089
Fletcher, Roger
13
1981
Generalized inverse methods for the best least squares solution of systems of non-linear equations. Zbl 0155.19803
Fletcher, R.
12
1968
A review of methods for unconstrained optimization. Zbl 0194.20404
Fletcher, R.
12
1969
Resolving degeneracy in quadratic programming. Zbl 0796.90042
Fletcher, R.
12
1993
A class of methods for nonlinear programming. II: Computational experience. Zbl 0258.90044
Fletcher, R.; Lill, Shirley A.
11
1970
Acceleration techniques for nonlinear programming. Zbl 0194.47704
Fletcher, R.; McCann, A. P.
10
1969
A class of methods for non-linear programming. III: Rates of convergence. Zbl 0277.90066
Fletcher, R.
10
1972
Stable modification of explicit LU factors for simplex updates. Zbl 0574.65057
Fletcher, R.; Matthews, S. P. J.
10
1984
On the stability of null-space methods for KKT systems. Zbl 0890.65060
Fletcher, Roger; Johnson, Tom
10
1997
Linear minimax approximation as the limit of best L\(_p\)-approximation. Zbl 0284.65004
Fletcher, R.; Grant, J. A.; Hebden, M. D.
9
1974
Stable reduced Hessian updates for indefinite quadratic programming. Zbl 0964.65065
Fletcher, R.
9
2000
Filter-type algorithms for solving systems of algebraic equations and inequalities. Zbl 1112.90372
Fletcher, Roger; Leyffer, Sven
7
2003
Dense factors of sparse matrices. Zbl 1031.65043
Fletcher, Roger
7
1997
Hybrid methods for finding the nearest Euclidean distance matrix. Zbl 0928.65077
Al-Homidan, Suliman; Fletcher, Roger
7
1995
Minimizing general functions subject to linear constraints. Zbl 0268.90061
Fletcher, R.
6
1972
The sequential quadratic programming method. Zbl 1192.90002
Fletcher, Roger
6
2010
A sequential linear constraint programming algorithm for NLP. Zbl 1258.65061
Fletcher, Roger
6
2012
A technique for orthogonalization. Zbl 0185.07703
Fletcher, R.
4
1969
An algorithmic derivation of the Jordan canonical form. Zbl 0529.15008
Fletcher, R.; Sorensen, D. C.
4
1983
Methods for nonlinear constraints. Zbl 0548.90058
Fletcher, R.
4
1982
Expected conditioning. Zbl 0574.65037
Fletcher, R.
4
1985
Some numerical experience with a globally convergent algorithm for nonlinearly constrained optimization. Zbl 0418.65028
Coope, I. D.; Fletcher, R.
3
1980
An algorithm for constrained non-linear least-squares. Zbl 0443.65048
Holt, J. N.; Fletcher, R.
3
1979
Numerical experiments with an exact \(L_ 1\) penalty function method. Zbl 0534.49025
Fletcher, R.
3
1981
On the order of convergence of preconditioned nonlinear conjugate gradient methods. Zbl 0849.90106
Al-Baali, M.; Fletcher, R.
3
1996
Ordering algorithms for irreducible sparse linear systems. Zbl 0786.90036
Fletcher, R.; Hall, J. A. J.
3
1993
Augmented Lagrangians, box constrained QP and extensions. Zbl 1475.65039
Fletcher, Roger
3
2017
Recent developments in methods for nonlinear programming. Zbl 0706.90079
Fletcher, R.
2
1989
A stable algorithm for updating triangular factors under a rank one change. Zbl 0626.65020
Fletcher, R.; Matthews, S. P. J.
2
1985
Degeneracy in the presence of roundoff errors. Zbl 0649.65032
Fletcher, R.
2
1988
Block triangular orderings and factors for sparse matrices in LP. Zbl 0903.65022
Fletcher, R.
2
1998
Computing sparse Hessian and Jacobian approximations with optimal hereditary properties. Zbl 0884.65057
Fletcher, Roger; Grothey, Andreas; Leyffer, Sven
2
1997
A new low rank quasi-Newton update scheme for nonlinear programming. Zbl 1219.90161
Fletcher, R.
2
2006
On Wolfe’s method for resolving degeneracy in linearly constrained optimization. Zbl 1307.90005
Fletcher, Roger
1
2014
Optimization. Symposium of the Institute of Mathematics and its Applications, University of Keele, England, 1968. Zbl 0191.27401
1
1969
A first derivative method for nonlinear programming based on successive \(\ell _ 1LP\). Zbl 0684.90086
Fletcher, Roger
1
1989
Towards reliable linear programming. Zbl 0701.65044
Fletcher, R.; Hall, J. A. J.
1
1990
Basis functions for the exact control of the heat equation. Zbl 0484.49025
Fletcher, R.; Harley, P. J.
1
1982
Degenerate values for Broyden methods. Zbl 0424.65032
Fletcher, R.; Sinclair, J. W.
1
1981
The generalized eigenvalue problem for certain unsymmetric band matrices. Zbl 0431.65018
Fletcher, R.; Griffiths, D. F.
1
1980
Generalized inverses for nonlinear equations and optimization. Zbl 0259.65059
Fletcher, R.
1
1970
The continuity and differentiability of the parameters of best linear L\(_p\) approximations. Zbl 0269.41025
Fletcher, R.; Grant, J. A.; Hebden, M. D.
1
1974
Binary separation and training support vector machines. Zbl 1238.68123
Fletcher, Roger; Zanghirati, Gaetano
1
2010
Recent developments in linear and quadratic programming. Zbl 0615.65063
Fletcher, R.
1
1987
M. J. D. Powell’s contributions to Numerical Mathematics. Zbl 1040.01512
Buhmann, Martin D.; Fletcher, Roger
1
1997
Cancellation errors in quasi-Newton methods. Zbl 0631.65067
Fletcher, R.
1
1986
A new degeneracy method and steepest-edge-based conditioning for LP. Zbl 0918.65042
Fletcher, Roger
1
1998
Augmented Lagrangians, box constrained QP and extensions. Zbl 1475.65039
Fletcher, Roger
3
2017
On Wolfe’s method for resolving degeneracy in linearly constrained optimization. Zbl 1307.90005
Fletcher, Roger
1
2014
A limited memory steepest descent method. Zbl 1254.90113
Fletcher, Roger
29
2012
A nonmonotone filter method for nonlinear optimization. Zbl 1259.90140
Shen, Chungen; Leyffer, Sven; Fletcher, Roger
27
2012
A sequential linear constraint programming algorithm for NLP. Zbl 1258.65061
Fletcher, Roger
6
2012
The sequential quadratic programming method. Zbl 1192.90002
Fletcher, Roger
6
2010
Binary separation and training support vector machines. Zbl 1238.68123
Fletcher, Roger; Zanghirati, Gaetano
1
2010
Local convergence of SQP methods for mathematical programs with equilibrium constraints. Zbl 1112.90098
Fletcher, Roger; Leyffer, Sven; Ralph, Danny; Scholtes, Stefan
92
2006
New algorithms for singly linearly constrained quadratic programs subject to lower and upper bounds. Zbl 1134.90030
Dai, Yu-Hong; Fletcher, Roger
75
2006
A new low rank quasi-Newton update scheme for nonlinear programming. Zbl 1219.90161
Fletcher, R.
2
2006
Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming. Zbl 1068.65073
Dai, Yu-Hong; Fletcher, Roger
146
2005
On the Barzilai-Borwein method. Zbl 1118.90318
Fletcher, Roger
108
2005
On the asymptotic behaviour of some new gradient methods. Zbl 1099.90038
Dai, Yu-Hong; Fletcher, Roger
45
2005
Solving mathematical programs with complementary constraints as nonlinear programs. Zbl 1074.90044
Fletcher, Roger; Leyffer, Sven
63
2004
On the global convergence of an SLP-filter algorithm that takes EQP steps. Zbl 1023.90060
Chin, Choong Ming; Fletcher, Roger
58
2003
Filter-type algorithms for solving systems of algebraic equations and inequalities. Zbl 1112.90372
Fletcher, Roger; Leyffer, Sven
7
2003
Nonlinear programming without a penalty function. Zbl 1049.90088
Fletcher, Roger; Leyffer, Sven
298
2002
On the global convergence of a filter-SQP algorithm. Zbl 1029.65063
Fletcher, Roger; Leyffer, Sven; Toint, Philippe L.
144
2002
Global convergence of a trust-region SQP-filter algorithm for general nonlinear programming. Zbl 1038.90076
Fletcher, Roger; Gould, Nicholas I. M.; Leyffer, Sven; Toint, Philippe L.; Wächter, Andreas
126
2002
Practical methods of optimization. Repr. of the 2nd ed. Zbl 0988.65043
Fletcher, Roger
50
2001
Stable reduced Hessian updates for indefinite quadratic programming. Zbl 0964.65065
Fletcher, R.
9
2000
Numerical experience with lower bounds for MIQP branch-and-bound. Zbl 0912.90225
Fletcher, Roger; Leyffer, Sven
45
1998
Block triangular orderings and factors for sparse matrices in LP. Zbl 0903.65022
Fletcher, R.
2
1998
A new degeneracy method and steepest-edge-based conditioning for LP. Zbl 0918.65042
Fletcher, Roger
1
1998
On the stability of null-space methods for KKT systems. Zbl 0890.65060
Fletcher, Roger; Johnson, Tom
10
1997
Dense factors of sparse matrices. Zbl 1031.65043
Fletcher, Roger
7
1997
Computing sparse Hessian and Jacobian approximations with optimal hereditary properties. Zbl 0884.65057
Fletcher, Roger; Grothey, Andreas; Leyffer, Sven
2
1997
M. J. D. Powell’s contributions to Numerical Mathematics. Zbl 1040.01512
Buhmann, Martin D.; Fletcher, Roger
1
1997
On the order of convergence of preconditioned nonlinear conjugate gradient methods. Zbl 0849.90106
Al-Baali, M.; Fletcher, R.
3
1996
An optimal positive definite update for sparse Hessian matrices. Zbl 0824.65038
Fletcher, R.
17
1995
Hybrid methods for finding the nearest Euclidean distance matrix. Zbl 0928.65077
Al-Homidan, Suliman; Fletcher, Roger
7
1995
Solving mixed integer nonlinear programs by outer approximation. Zbl 0833.90088
Fletcher, Roger; Leyffer, Sven
144
1994
An overview of unconstrained optimization. Zbl 0828.90123
Fletcher, R.
29
1994
Resolving degeneracy in quadratic programming. Zbl 0796.90042
Fletcher, R.
12
1993
Ordering algorithms for irreducible sparse linear systems. Zbl 0786.90036
Fletcher, R.; Hall, J. A. J.
3
1993
A new variational result for quasi-Newton formulae. Zbl 0752.90064
Fletcher, R.
16
1991
Low storage methods for unconstrained optimization. Zbl 0699.65052
Fletcher, R.
27
1990
Towards reliable linear programming. Zbl 0701.65044
Fletcher, R.; Hall, J. A. J.
1
1990
Nonlinear programming and nonsmooth optimization by successive linear programming. Zbl 0724.90062
Fletcher, R.; Sainz de la Maza, E.
19
1989
Recent developments in methods for nonlinear programming. Zbl 0706.90079
Fletcher, R.
2
1989
A first derivative method for nonlinear programming based on successive \(\ell _ 1LP\). Zbl 0684.90086
Fletcher, Roger
1
1989
Degeneracy in the presence of roundoff errors. Zbl 0649.65032
Fletcher, R.
2
1988
Practical methods of optimization. 2nd ed. Zbl 0905.65002
Fletcher, R.
1987
Hybrid methods for nonlinear least squares. Zbl 0648.65051
Fletcher, R.; Xu, C.
23
1987
Recent developments in linear and quadratic programming. Zbl 0615.65063
Fletcher, R.
1
1987
An algorithm for composite nonsmooth optimization problems. Zbl 0562.90077
Womersley, R. S.; Fletcher, R.
33
1986
An efficient line search for nonlinear least squares. Zbl 0562.90074
Al-Baali, M.; Fletcher, R.
15
1986
Cancellation errors in quasi-Newton methods. Zbl 0631.65067
Fletcher, R.
1
1986
Semi-definite matrix constraints in optimization. Zbl 0567.90088
Fletcher, R.
51
1985
Variational methods for non-linear least-squares. Zbl 0578.65064
Al-Baali, M.; Fletcher, R.
27
1985
An \(\ell _ 1\) penalty method for nonlinear constraints. Zbl 0583.65043
Fletcher, R.
14
1985
Expected conditioning. Zbl 0574.65037
Fletcher, R.
4
1985
A stable algorithm for updating triangular factors under a rank one change. Zbl 0626.65020
Fletcher, R.; Matthews, S. P. J.
2
1985
Stable modification of explicit LU factors for simplex updates. Zbl 0574.65057
Fletcher, R.; Matthews, S. P. J.
10
1984
Penalty functions. Zbl 0542.90087
Fletcher, R.
15
1983
An algorithmic derivation of the Jordan canonical form. Zbl 0529.15008
Fletcher, R.; Sorensen, D. C.
4
1983
A model algorithm for composite nondifferentiable optimization problems. Zbl 0478.90063
Fletcher, R.
60
1982
Second order corrections for non-differentiable optimization. Zbl 0476.65048
Fletcher, R.
19
1982
Methods for nonlinear constraints. Zbl 0548.90058
Fletcher, R.
4
1982
Basis functions for the exact control of the heat equation. Zbl 0484.49025
Fletcher, R.; Harley, P. J.
1
1982
Practical methods of optimization. Vol. 2: Constrained optimization. Zbl 0474.65043
Fletcher, R.
173
1981
A nonlinear programming problem in statistics (educational testing). Zbl 0475.62089
Fletcher, Roger
13
1981
Numerical experiments with an exact \(L_ 1\) penalty function method. Zbl 0534.49025
Fletcher, R.
3
1981
Degenerate values for Broyden methods. Zbl 0424.65032
Fletcher, R.; Sinclair, J. W.
1
1981
Practical methods of optimization. Vol. 1: Unconstrained optimization. Zbl 0439.93001
Fletcher, R.
183
1980
First and second order conditions for a class of nondifferentiable optimization problems. Zbl 0433.90066
Fletcher, R.; Watson, G. A.
17
1980
Some numerical experience with a globally convergent algorithm for nonlinearly constrained optimization. Zbl 0418.65028
Coope, I. D.; Fletcher, R.
3
1980
The generalized eigenvalue problem for certain unsymmetric band matrices. Zbl 0431.65018
Fletcher, R.; Griffiths, D. F.
1
1980
An algorithm for constrained non-linear least-squares. Zbl 0443.65048
Holt, J. N.; Fletcher, R.
3
1979
A modified Newton method for minimization. Zbl 0348.65058
Fletcher, R.; Freeman, T. L.
18
1977
Conjugate gradient methods for indefinite systems. Zbl 0326.65033
Fletcher, R.
222
1976
Factorizing symmetric indefinite matrices. Zbl 0336.65022
Fletcher, R.
14
1976
An ideal penalty function for constrained optimization. Zbl 0325.90056
Fletcher, R.
26
1975
An ideal penalty function for constrained optimization. Zbl 0322.90053
Fletcher, R.
14
1975
On the modification of LDL\(^T\) factorizations. Zbl 0293.65018
Fletcher, R.; Powell, M. J. D.
22
1974
Minimization of a quadratic function of many variables subject only to lower and upper bounds. Zbl 0301.90032
Fletcher, R.; Jackson, M. P.
21
1974
Linear minimax approximation as the limit of best L\(_p\)-approximation. Zbl 0284.65004
Fletcher, R.; Grant, J. A.; Hebden, M. D.
9
1974
The continuity and differentiability of the parameters of best linear L\(_p\) approximations. Zbl 0269.41025
Fletcher, R.; Grant, J. A.; Hebden, M. D.
1
1974
An exact penalty function for nonlinear programming with inequalities. Zbl 0278.90063
Fletcher, R.
46
1973
An algorithm for solving linearly constrained optimization problems. Zbl 0249.90067
Fletcher, R.
20
1972
A class of methods for non-linear programming. III: Rates of convergence. Zbl 0277.90066
Fletcher, R.
10
1972
Minimizing general functions subject to linear constraints. Zbl 0268.90061
Fletcher, R.
6
1972
A general quadratic programming algorithm. Zbl 0226.90036
Fletcher, R.
34
1971
The calculation of linear best \(L_ p\) approximations. Zbl 0225.65017
Fletcher, R.; Grant, J. A.; Hebden, M. D.
19
1971
A new approach to variable metric algorithm. Zbl 0207.17402
Fletcher, R.
373
1970
A class of methods for nonlinear programming with termination and convergence properties. Zbl 0332.90039
Fletcher, R.
56
1970
A class of methods for nonlinear programming. II: Computational experience. Zbl 0258.90044
Fletcher, R.; Lill, Shirley A.
11
1970
Generalized inverses for nonlinear equations and optimization. Zbl 0259.65059
Fletcher, R.
1
1970
A review of methods for unconstrained optimization. Zbl 0194.20404
Fletcher, R.
12
1969
Acceleration techniques for nonlinear programming. Zbl 0194.47704
Fletcher, R.; McCann, A. P.
10
1969
A technique for orthogonalization. Zbl 0185.07703
Fletcher, R.
4
1969
Optimization. Symposium of the Institute of Mathematics and its Applications, University of Keele, England, 1968. Zbl 0191.27401
1
1969
Generalized inverse methods for the best least squares solution of systems of non-linear equations. Zbl 0155.19803
Fletcher, R.
12
1968
New iterative methods for solution of the eigenproblem. Zbl 0202.43502
Bradbury, W. W.; Fletcher, R.
28
1966
Function minimization without evaluating derivatives. A review. Zbl 0139.10401
Fletcher, R.
23
1965
Function minimization by conjugate gradients. Zbl 0132.11701
Fletcher, R.; Reeves, C. M.
817
1964
A rapidly convergent descent method for minimization. Zbl 0132.11603
Fletcher, R.; Powell, M. J. D.
460
1963
all top 5

Cited by 6,078 Authors

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25 Pu, Dingguo
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23 Fletcher, Roger
22 Toint, Philippe Louis
21 Jian, Jinbao
21 Yuan, Ya-xiang
19 Yang, Xiaoqi
18 Fukushima, Masao
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18 Ruggiero, Valeria
17 Al-Baali, Mehiddin
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17 Zanni, Luca
16 Leyffer, Sven
16 Liu, Hongwei
16 Shanno, David F.
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10 Liu, Jinkui
10 Mahdavi-Amiri, Nezam
10 Saunders, Michael A.
10 Su, Ke
10 Sun, Jie
10 Wild, Stefan M.
10 Wright, Stephen J.
10 Yao, Shengwei
9 Alhawarat, Ahmad
9 Biegler, Lorenz T.
9 Dai, Zhifeng
9 di Serafino, Daniela
9 Gould, Nicholas Ian Mark
9 Kanzow, Christian
9 Karas, Elizabeth Wegner
9 Lesnic, Daniel
9 Ma, Changfeng
9 Meng, Zhiqing
9 Orban, Dominique
9 Rivaie, Mohd
9 Salleh, Zabidin
9 Solodov, Mikhail V.
9 Spedicato, Emilio
9 Wang, Zhujun
9 Xu, Chengxian
9 Yu, Gaohang
9 Zhu, Zhibin
...and 5,978 more Authors
all top 5

Cited in 465 Serials

303 Journal of Optimization Theory and Applications
207 Journal of Computational and Applied Mathematics
189 Applied Mathematics and Computation
162 Computational Optimization and Applications
159 Mathematical Programming. Series A. Series B
126 Optimization Methods & Software
107 Mathematical Programming
94 Journal of Global Optimization
88 European Journal of Operational Research
83 Computer Methods in Applied Mechanics and Engineering
82 Optimization
81 Numerical Algorithms
74 Computers & Mathematics with Applications
74 International Journal for Numerical Methods in Engineering
72 Automatica
64 SIAM Journal on Optimization
60 Linear Algebra and its Applications
58 Journal of Computational Physics
56 International Journal of Computer Mathematics
52 Mathematical Problems in Engineering
46 Applied Numerical Mathematics
42 Numerische Mathematik
42 Applied Mathematical Modelling
39 Mathematics of Computation
39 Numerical Functional Analysis and Optimization
37 Computational and Applied Mathematics
35 Annals of Operations Research
35 Computational Statistics and Data Analysis
34 Optimization Letters
33 International Journal of Control
33 Optimization and Engineering
31 Computers & Operations Research
30 Computing
28 Journal of Industrial and Management Optimization
27 International Journal of Systems Science
26 Computer Physics Communications
26 Journal of Mathematical Analysis and Applications
26 Journal of Scientific Computing
26 SIAM Journal on Scientific Computing
26 Journal of Applied Mathematics and Computing
25 Journal of the Franklin Institute
24 Numerical Linear Algebra with Applications
21 Journal of Statistical Computation and Simulation
21 Pattern Recognition
21 Journal of Inequalities and Applications
20 Kybernetika
19 Mathematical Programming Computation
18 Psychometrika
17 Computers and Fluids
17 BIT
16 Mathematics and Computers in Simulation
16 Asia-Pacific Journal of Operational Research
16 Engineering Analysis with Boundary Elements
16 Journal of Applied Mathematics
15 Computational Mechanics
14 Applied Mathematics and Optimization
14 Communications in Statistics. Theory and Methods
14 International Journal of Control, I. Series
13 Mathematical Biosciences
13 Calcolo
13 Optimal Control Applications & Methods
13 Operations Research Letters
13 Mathematical Methods of Operations Research
13 Science China. Mathematics
13 Journal of the Operations Research Society of China
12 Information Sciences
12 Acta Mathematicae Applicatae Sinica. English Series
12 Abstract and Applied Analysis
12 Journal of Systems Science and Complexity
12 Inverse Problems in Science and Engineering
11 Mathematical and Computer Modelling
11 SIAM Journal on Matrix Analysis and Applications
10 International Journal for Numerical Methods in Fluids
10 Journal of Approximation Theory
10 Circuits, Systems, and Signal Processing
10 Communications in Statistics. Simulation and Computation
10 Journal of Mathematical Imaging and Vision
10 European Journal of Control
10 RAIRO. Operations Research
10 Archives of Computational Methods in Engineering
10 Structural and Multidisciplinary Optimization
9 Journal of Econometrics
9 Journal of Statistical Planning and Inference
9 Applied Mathematics Letters
9 Machine Learning
9 Advances in Computational Mathematics
9 Journal of Machine Learning Research (JMLR)
9 EURO Journal on Computational Optimization
8 Annals of the Institute of Statistical Mathematics
8 SIAM Review
8 International Journal of Robust and Nonlinear Control
8 Journal of Applied Statistics
8 The ANZIAM Journal
8 Set-Valued and Variational Analysis
8 Statistics and Computing
8 Numerical Algebra, Control and Optimization
8 Nonlinear Analysis. Theory, Methods & Applications
7 Inverse Problems
7 Bulletin of Mathematical Biology
7 Meccanica
...and 365 more Serials
all top 5

Cited in 51 Fields

2,724 Operations research, mathematical programming (90-XX)
2,151 Numerical analysis (65-XX)
652 Calculus of variations and optimal control; optimization (49-XX)
355 Statistics (62-XX)
292 Systems theory; control (93-XX)
245 Computer science (68-XX)
243 Mechanics of deformable solids (74-XX)
129 Fluid mechanics (76-XX)
126 Partial differential equations (35-XX)
115 Linear and multilinear algebra; matrix theory (15-XX)
114 Biology and other natural sciences (92-XX)
111 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
84 Information and communication theory, circuits (94-XX)
66 Approximations and expansions (41-XX)
44 Probability theory and stochastic processes (60-XX)
43 Geophysics (86-XX)
42 Mechanics of particles and systems (70-XX)
42 Classical thermodynamics, heat transfer (80-XX)
35 Quantum theory (81-XX)
34 Operator theory (47-XX)
33 Ordinary differential equations (34-XX)
32 Dynamical systems and ergodic theory (37-XX)
32 Statistical mechanics, structure of matter (82-XX)
24 Optics, electromagnetic theory (78-XX)
20 Real functions (26-XX)
15 Integral equations (45-XX)
14 Global analysis, analysis on manifolds (58-XX)
12 Convex and discrete geometry (52-XX)
10 Combinatorics (05-XX)
8 Measure and integration (28-XX)
7 General and overarching topics; collections (00-XX)
7 Functions of a complex variable (30-XX)
7 Functional analysis (46-XX)
7 Differential geometry (53-XX)
5 Integral transforms, operational calculus (44-XX)
5 Geometry (51-XX)
4 History and biography (01-XX)
4 Algebraic geometry (14-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
3 Number theory (11-XX)
3 Difference and functional equations (39-XX)
3 Manifolds and cell complexes (57-XX)
2 Nonassociative rings and algebras (17-XX)
2 General topology (54-XX)
2 Astronomy and astrophysics (85-XX)
1 Mathematical logic and foundations (03-XX)
1 Commutative algebra (13-XX)
1 Group theory and generalizations (20-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)

Citations by Year

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