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## Fletcher, Roger

Compute Distance To:
 Author ID: fletcher.roger Published as: Fletcher, R.; Fletcher, Roger Homepage: http://www.maths.dundee.ac.uk/~fletcher/ External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 101 Publications since 1963, including 5 Books Biographic References: 4 Publications
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#### Co-Authors

 53 single-authored 10 Leyffer, Sven 3 Al-Baali, Mehiddin 3 Dai, Yu-Hong 3 Grant, James A. 3 Hebden, M. D. 2 Hall, J. A. Julian 2 Matthews, S. P. J. 2 Powell, Michael James David 2 Reeves, C. M. 2 Toint, Philippe L. 1 Al-Homidan, Suliman S. 1 Bradbury, W. W. 1 Buhmann, Martin Dietrich 1 Chin, Choong Ming 1 Coope, Ian D. 1 de la Maza, E. Sáinz 1 Freeman, T. L. 1 Gould, Nicholas Ian Mark 1 Griffiths, David F. 1 Grothey, Andreas 1 Harley, Peter John 1 Holt, J. N. 1 Jackson, M. P. 1 Johnson, Tom 1 Lill, Shirley A. 1 McCann, A. P. 1 Ralph, Danny 1 Ruggiero, Valeria 1 Scholtes, Stefan 1 Sergeev, Yaroslav Dmitrievich 1 Shen, Chungen 1 Sinclair, James W. 1 Sorensen, Danny C. 1 Strongin, Roman G. 1 Wächter, Andreas 1 Watson, G. Alistair 1 Womersley, Robert S. 1 Xu, Chenghui 1 Zanghirati, Gaetano
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#### Serials

 9 SIAM Journal on Optimization 8 Mathematical Programming. Series A. Series B 7 The Computer Journal. Section A / Section B 5 Journal of the Institute of Mathematics and its Applications 5 Journal of Optimization Theory and Applications 4 Mathematical Programming 3 IMA Journal of Numerical Analysis 3 Linear Algebra and its Applications 2 Mathematics of Computation 2 Numerische Mathematik 2 SIAM Journal on Scientific and Statistical Computing 2 Annals of Operations Research 2 Optimization Methods & Software 1 American Mathematical Monthly 1 IMA Journal of Applied Mathematics 1 Journal of Approximation Theory 1 Journal of the Operational Research Society 1 Mathematical Programming Study 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 SIAM Journal on Matrix Analysis and Applications 1 Bulletin. The Institute of Mathematics and its Applications 1 Computational Optimization and Applications 1 SIAM Journal on Scientific Computing 1 Acta Numerica
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#### Fields

 76 Operations research, mathematical programming (90-XX) 69 Numerical analysis (65-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 4 Approximations and expansions (41-XX) 3 Partial differential equations (35-XX) 2 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

96 Publications have been cited 4,821 times in 3,635 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.
1964
A rapidly convergent descent method for minimization. Zbl 0132.11603
Fletcher, R.; Powell, M. J. D.
1963
A new approach to variable metric algorithm. Zbl 0207.17402
Fletcher, R.
1970
Nonlinear programming without a penalty function. Zbl 1049.90088
Fletcher, Roger; Leyffer, Sven
2002
Practical methods of optimization. Vol. 1: Unconstrained optimization. Zbl 0439.93001
Fletcher, R.
1980
Conjugate gradient methods for indefinite systems. Zbl 0326.65033
Fletcher, R.
1976
Practical methods of optimization. Vol. 2: Constrained optimization. Zbl 0474.65043
Fletcher, R.
1981
On the global convergence of a filter-SQP algorithm. Zbl 1029.65063
Fletcher, Roger; Leyffer, Sven; Toint, Philippe L.
2002
Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming. Zbl 1068.65073
Dai, Yu-Hong; Fletcher, Roger
2005
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
2002
Solving mixed integer nonlinear programs by outer approximation. Zbl 0833.90088
Fletcher, Roger; Leyffer, Sven
1994
Local convergence of SQP methods for mathematical programs with equilibrium constraints. Zbl 1112.90098
Fletcher, Roger; Leyffer, Sven; Ralph, Danny; Scholtes, Stefan
2006
On the Barzilai-Borwein method. Zbl 1118.90318
Fletcher, Roger
2005
Semi-definite matrix constraints in optimization. Zbl 0567.90088
Fletcher, R.
1985
On the global convergence of an SLP-filter algorithm that takes EQP steps. Zbl 1023.90060
Chin, Choong Ming; Fletcher, Roger
2003
Solving mathematical programs with complementary constraints as nonlinear programs. Zbl 1074.90044
Fletcher, Roger; Leyffer, Sven
2004
New algorithms for singly linearly constrained quadratic programs subject to lower and upper bounds. Zbl 1134.90030
Dai, Yu-Hong; Fletcher, Roger
2006
A class of methods for nonlinear programming with termination and convergence properties. Zbl 0332.90039
Fletcher, R.
1970
A model algorithm for composite nondifferentiable optimization problems. Zbl 0478.90063
Fletcher, R.
1982
An exact penalty function for nonlinear programming with inequalities. Zbl 0278.90063
Fletcher, R.
1973
Numerical experience with lower bounds for MIQP branch-and-bound. Zbl 0912.90225
Fletcher, Roger; Leyffer, Sven
1998
Practical methods of optimization. Repr. of the 2nd ed. Zbl 0988.65043
Fletcher, Roger
2001
On the asymptotic behaviour of some new gradient methods. Zbl 1099.90038
Dai, Yu-Hong; Fletcher, Roger
2005
Low storage methods for unconstrained optimization. Zbl 0699.65052
Fletcher, R.
1990
A general quadratic programming algorithm. Zbl 0226.90036
Fletcher, R.
1971
An algorithm for composite nonsmooth optimization problems. Zbl 0562.90077
Womersley, R. S.; Fletcher, R.
1986
Variational methods for non-linear least-squares. Zbl 0578.65064
Al-Baali, M.; Fletcher, R.
1985
New iterative methods for solution of the eigenproblem. Zbl 0202.43502
1966
A nonmonotone filter method for nonlinear optimization. Zbl 1259.90140
Shen, Chungen; Leyffer, Sven; Fletcher, Roger
2012
On the modification of LDL$$^T$$ factorizations. Zbl 0293.65018
Fletcher, R.; Powell, M. J. D.
1974
Function minimization without evaluating derivatives. A review. Zbl 0139.10401
Fletcher, R.
1965
An ideal penalty function for constrained optimization. Zbl 0325.90056
Fletcher, R.
1975
Minimization of a quadratic function of many variables subject only to lower and upper bounds. Zbl 0301.90032
Fletcher, R.; Jackson, M. P.
1974
Hybrid methods for nonlinear least squares. Zbl 0648.65051
Fletcher, R.; Xu, C.
1987
A limited memory steepest descent method. Zbl 1254.90113
Fletcher, Roger
2012
The calculation of linear best $$L_ p$$ approximations. Zbl 0225.65017
Fletcher, R.; Grant, J. A.; Hebden, M. D.
1971
An optimal positive definite update for sparse Hessian matrices. Zbl 0824.65038
Fletcher, R.
1995
An overview of unconstrained optimization. Zbl 0828.90123
Fletcher, R.
1994
A modified Newton method for minimization. Zbl 0348.65058
Fletcher, R.; Freeman, T. L.
1977
An algorithm for solving linearly constrained optimization problems. Zbl 0249.90067
Fletcher, R.
1972
A new variational result for quasi-Newton formulae. Zbl 0752.90064
Fletcher, R.
1991
Nonlinear programming and nonsmooth optimization by successive linear programming. Zbl 0724.90062
Fletcher, R.; Sainz de la Maza, E.
1989
First and second order conditions for a class of nondifferentiable optimization problems. Zbl 0433.90066
Fletcher, R.; Watson, G. A.
1980
An efficient line search for nonlinear least squares. Zbl 0562.90074
Al-Baali, M.; Fletcher, R.
1986
Factorizing symmetric indefinite matrices. Zbl 0336.65022
Fletcher, R.
1976
A review of methods for unconstrained optimization. Zbl 0194.20404
Fletcher, R.
1969
Resolving degeneracy in quadratic programming. Zbl 0796.90042
Fletcher, R.
1993
A nonlinear programming problem in statistics (educational testing). Zbl 0475.62089
Fletcher, Roger
1981
Generalized inverse methods for the best least squares solution of systems of non-linear equations. Zbl 0155.19803
Fletcher, R.
1968
Dense factors of sparse matrices. Zbl 1031.65043
Fletcher, Roger
1997
Penalty functions. Zbl 0542.90087
Fletcher, R.
1983
An ideal penalty function for constrained optimization. Zbl 0322.90053
Fletcher, R.
1975
A class of methods for nonlinear programming. II: Computational experience. Zbl 0258.90044
Fletcher, R.; Lill, Shirley A.
1970
Acceleration techniques for nonlinear programming. Zbl 0194.47704
Fletcher, R.; McCann, A. P.
1969
Fletcher, R.
2000
Second order corrections for non-differentiable optimization. Zbl 0476.65048
Fletcher, R.
1982
Linear minimax approximation as the limit of best L$$_p$$-approximation. Zbl 0284.65004
Fletcher, R.; Grant, J. A.; Hebden, M. D.
1974
Recent developments in methods for nonlinear programming. Zbl 0706.90079
Fletcher, R.
1989
Stable modification of explicit LU factors for simplex updates. Zbl 0574.65057
Fletcher, R.; Matthews, S. P. J.
1984
On the stability of null-space methods for KKT systems. Zbl 0890.65060
Fletcher, Roger; Johnson, Tom
1997
Hybrid methods for finding the nearest Euclidean distance matrix. Zbl 0928.65077
Al-Homidan, Suliman; Fletcher, Roger
1995
A class of methods for non-linear programming. III: Rates of convergence. Zbl 0277.90066
Fletcher, R.
1972
Minimizing general functions subject to linear constraints. Zbl 0268.90061
Fletcher, R.
1972
Filter-type algorithms for solving systems of algebraic equations and inequalities. Zbl 1112.90372
Fletcher, Roger; Leyffer, Sven
2003
A sequential linear constraint programming algorithm for NLP. Zbl 1258.65061
Fletcher, Roger
2012
The sequential quadratic programming method. Zbl 1192.90002
Fletcher, Roger
2010
Expected conditioning. Zbl 0574.65037
Fletcher, R.
1985
An algorithmic derivation of the Jordan canonical form. Zbl 0529.15008
Fletcher, R.; Sorensen, D. C.
1983
Methods for nonlinear constraints. Zbl 0548.90058
Fletcher, R.
1982
A technique for orthogonalization. Zbl 0185.07703
Fletcher, R.
1969
On the order of convergence of preconditioned nonlinear conjugate gradient methods. Zbl 0849.90106
Al-Baali, M.; Fletcher, R.
1996
Ordering algorithms for irreducible sparse linear systems. Zbl 0786.90036
Fletcher, R.; Hall, J. A. J.
1993
Cancellation errors in quasi-Newton methods. Zbl 0631.65067
Fletcher, R.
1986
An algorithm for constrained non-linear least-squares. Zbl 0443.65048
Holt, J. N.; Fletcher, R.
1979
Computing sparse Hessian and Jacobian approximations with optimal hereditary properties. Zbl 0884.65057
Fletcher, Roger; Grothey, Andreas; Leyffer, Sven
1997
Degeneracy in the presence of roundoff errors. Zbl 0649.65032
Fletcher, R.
1988
A stable algorithm for updating triangular factors under a rank one change. Zbl 0626.65020
Fletcher, R.; Matthews, S. P. J.
1985
Numerical experiments with an exact $$L_ 1$$ penalty function method. Zbl 0534.49025
Fletcher, R.
1981
Some numerical experience with a globally convergent algorithm for nonlinearly constrained optimization. Zbl 0418.65028
Coope, I. D.; Fletcher, R.
1980
Augmented Lagrangians, box constrained QP and extensions. Zbl 06943820
Fletcher, Roger
2017
On Wolfe’s method for resolving degeneracy in linearly constrained optimization. Zbl 1307.90005
Fletcher, Roger
2014
Binary separation and training support vector machines. Zbl 1238.68123
Fletcher, Roger; Zanghirati, Gaetano
2010
A new degeneracy method and steepest-edge-based conditioning for LP. Zbl 0918.65042
Fletcher, Roger
1998
Block triangular orderings and factors for sparse matrices in LP. Zbl 0903.65022
Fletcher, R.
1998
M. J. D. Powell’s contributions to Numerical Mathematics. Zbl 1040.01512
Buhmann, Martin D.; Fletcher, Roger
1997
Towards reliable linear programming. Zbl 0701.65044
Fletcher, R.; Hall, J. A. J.
1990
A first derivative method for nonlinear programming based on successive $$\ell _ 1LP$$. Zbl 0684.90086
Fletcher, Roger
1989
Recent developments in linear and quadratic programming. Zbl 0615.65063
Fletcher, R.
1987
An $$\ell _ 1$$ penalty method for nonlinear constraints. Zbl 0583.65043
Fletcher, R.
1985
Basis functions for the exact control of the heat equation. Zbl 0484.49025
Fletcher, R.; Harley, P. J.
1982
Degenerate values for Broyden methods. Zbl 0424.65032
Fletcher, R.; Sinclair, J. W.
1981
The generalized eigenvalue problem for certain unsymmetric band matrices. Zbl 0431.65018
Fletcher, R.; Griffiths, D. F.
1980
The continuity and differentiability of the parameters of best linear L$$_p$$ approximations. Zbl 0269.41025
Fletcher, R.; Grant, J. A.; Hebden, M. D.
1974
Generalized inverses for nonlinear equations and optimization. Zbl 0259.65059
Fletcher, R.
1970
Optimization. Symposium of the Institute of Mathematics and its Applications, University of Keele, England, 1968. Zbl 0191.27401
Fletcher, R. (ed.)
1969
Augmented Lagrangians, box constrained QP and extensions. Zbl 06943820
Fletcher, Roger
2017
On Wolfe’s method for resolving degeneracy in linearly constrained optimization. Zbl 1307.90005
Fletcher, Roger
2014
A nonmonotone filter method for nonlinear optimization. Zbl 1259.90140
Shen, Chungen; Leyffer, Sven; Fletcher, Roger
2012
A limited memory steepest descent method. Zbl 1254.90113
Fletcher, Roger
2012
A sequential linear constraint programming algorithm for NLP. Zbl 1258.65061
Fletcher, Roger
2012
The sequential quadratic programming method. Zbl 1192.90002
Fletcher, Roger
2010
Binary separation and training support vector machines. Zbl 1238.68123
Fletcher, Roger; Zanghirati, Gaetano
2010
Local convergence of SQP methods for mathematical programs with equilibrium constraints. Zbl 1112.90098
Fletcher, Roger; Leyffer, Sven; Ralph, Danny; Scholtes, Stefan
2006
New algorithms for singly linearly constrained quadratic programs subject to lower and upper bounds. Zbl 1134.90030
Dai, Yu-Hong; Fletcher, Roger
2006
Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming. Zbl 1068.65073
Dai, Yu-Hong; Fletcher, Roger
2005
On the Barzilai-Borwein method. Zbl 1118.90318
Fletcher, Roger
2005
On the asymptotic behaviour of some new gradient methods. Zbl 1099.90038
Dai, Yu-Hong; Fletcher, Roger
2005
Solving mathematical programs with complementary constraints as nonlinear programs. Zbl 1074.90044
Fletcher, Roger; Leyffer, Sven
2004
On the global convergence of an SLP-filter algorithm that takes EQP steps. Zbl 1023.90060
Chin, Choong Ming; Fletcher, Roger
2003
Filter-type algorithms for solving systems of algebraic equations and inequalities. Zbl 1112.90372
Fletcher, Roger; Leyffer, Sven
2003
Nonlinear programming without a penalty function. Zbl 1049.90088
Fletcher, Roger; Leyffer, Sven
2002
On the global convergence of a filter-SQP algorithm. Zbl 1029.65063
Fletcher, Roger; Leyffer, Sven; Toint, Philippe L.
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
2002
Practical methods of optimization. Repr. of the 2nd ed. Zbl 0988.65043
Fletcher, Roger
2001
Fletcher, R.
2000
Numerical experience with lower bounds for MIQP branch-and-bound. Zbl 0912.90225
Fletcher, Roger; Leyffer, Sven
1998
A new degeneracy method and steepest-edge-based conditioning for LP. Zbl 0918.65042
Fletcher, Roger
1998
Block triangular orderings and factors for sparse matrices in LP. Zbl 0903.65022
Fletcher, R.
1998
Dense factors of sparse matrices. Zbl 1031.65043
Fletcher, Roger
1997
On the stability of null-space methods for KKT systems. Zbl 0890.65060
Fletcher, Roger; Johnson, Tom
1997
Computing sparse Hessian and Jacobian approximations with optimal hereditary properties. Zbl 0884.65057
Fletcher, Roger; Grothey, Andreas; Leyffer, Sven
1997
M. J. D. Powell’s contributions to Numerical Mathematics. Zbl 1040.01512
Buhmann, Martin D.; Fletcher, Roger
1997
On the order of convergence of preconditioned nonlinear conjugate gradient methods. Zbl 0849.90106
Al-Baali, M.; Fletcher, R.
1996
An optimal positive definite update for sparse Hessian matrices. Zbl 0824.65038
Fletcher, R.
1995
Hybrid methods for finding the nearest Euclidean distance matrix. Zbl 0928.65077
Al-Homidan, Suliman; Fletcher, Roger
1995
Solving mixed integer nonlinear programs by outer approximation. Zbl 0833.90088
Fletcher, Roger; Leyffer, Sven
1994
An overview of unconstrained optimization. Zbl 0828.90123
Fletcher, R.
1994
Resolving degeneracy in quadratic programming. Zbl 0796.90042
Fletcher, R.
1993
Ordering algorithms for irreducible sparse linear systems. Zbl 0786.90036
Fletcher, R.; Hall, J. A. J.
1993
A new variational result for quasi-Newton formulae. Zbl 0752.90064
Fletcher, R.
1991
Low storage methods for unconstrained optimization. Zbl 0699.65052
Fletcher, R.
1990
Towards reliable linear programming. Zbl 0701.65044
Fletcher, R.; Hall, J. A. J.
1990
Nonlinear programming and nonsmooth optimization by successive linear programming. Zbl 0724.90062
Fletcher, R.; Sainz de la Maza, E.
1989
Recent developments in methods for nonlinear programming. Zbl 0706.90079
Fletcher, R.
1989
A first derivative method for nonlinear programming based on successive $$\ell _ 1LP$$. Zbl 0684.90086
Fletcher, Roger
1989
Degeneracy in the presence of roundoff errors. Zbl 0649.65032
Fletcher, R.
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.
1987
Recent developments in linear and quadratic programming. Zbl 0615.65063
Fletcher, R.
1987
An algorithm for composite nonsmooth optimization problems. Zbl 0562.90077
Womersley, R. S.; Fletcher, R.
1986
An efficient line search for nonlinear least squares. Zbl 0562.90074
Al-Baali, M.; Fletcher, R.
1986
Cancellation errors in quasi-Newton methods. Zbl 0631.65067
Fletcher, R.
1986
Semi-definite matrix constraints in optimization. Zbl 0567.90088
Fletcher, R.
1985
Variational methods for non-linear least-squares. Zbl 0578.65064
Al-Baali, M.; Fletcher, R.
1985
Expected conditioning. Zbl 0574.65037
Fletcher, R.
1985
A stable algorithm for updating triangular factors under a rank one change. Zbl 0626.65020
Fletcher, R.; Matthews, S. P. J.
1985
An $$\ell _ 1$$ penalty method for nonlinear constraints. Zbl 0583.65043
Fletcher, R.
1985
Stable modification of explicit LU factors for simplex updates. Zbl 0574.65057
Fletcher, R.; Matthews, S. P. J.
1984
Penalty functions. Zbl 0542.90087
Fletcher, R.
1983
An algorithmic derivation of the Jordan canonical form. Zbl 0529.15008
Fletcher, R.; Sorensen, D. C.
1983
A model algorithm for composite nondifferentiable optimization problems. Zbl 0478.90063
Fletcher, R.
1982
Second order corrections for non-differentiable optimization. Zbl 0476.65048
Fletcher, R.
1982
Methods for nonlinear constraints. Zbl 0548.90058
Fletcher, R.
1982
Basis functions for the exact control of the heat equation. Zbl 0484.49025
Fletcher, R.; Harley, P. J.
1982
Practical methods of optimization. Vol. 2: Constrained optimization. Zbl 0474.65043
Fletcher, R.
1981
A nonlinear programming problem in statistics (educational testing). Zbl 0475.62089
Fletcher, Roger
1981
Numerical experiments with an exact $$L_ 1$$ penalty function method. Zbl 0534.49025
Fletcher, R.
1981
Degenerate values for Broyden methods. Zbl 0424.65032
Fletcher, R.; Sinclair, J. W.
1981
Practical methods of optimization. Vol. 1: Unconstrained optimization. Zbl 0439.93001
Fletcher, R.
1980
First and second order conditions for a class of nondifferentiable optimization problems. Zbl 0433.90066
Fletcher, R.; Watson, G. A.
1980
Some numerical experience with a globally convergent algorithm for nonlinearly constrained optimization. Zbl 0418.65028
Coope, I. D.; Fletcher, R.
1980
The generalized eigenvalue problem for certain unsymmetric band matrices. Zbl 0431.65018
Fletcher, R.; Griffiths, D. F.
1980
An algorithm for constrained non-linear least-squares. Zbl 0443.65048
Holt, J. N.; Fletcher, R.
1979
A modified Newton method for minimization. Zbl 0348.65058
Fletcher, R.; Freeman, T. L.
1977
Conjugate gradient methods for indefinite systems. Zbl 0326.65033
Fletcher, R.
1976
Factorizing symmetric indefinite matrices. Zbl 0336.65022
Fletcher, R.
1976
An ideal penalty function for constrained optimization. Zbl 0325.90056
Fletcher, R.
1975
An ideal penalty function for constrained optimization. Zbl 0322.90053
Fletcher, R.
1975
On the modification of LDL$$^T$$ factorizations. Zbl 0293.65018
Fletcher, R.; Powell, M. J. D.
1974
Minimization of a quadratic function of many variables subject only to lower and upper bounds. Zbl 0301.90032
Fletcher, R.; Jackson, M. P.
1974
Linear minimax approximation as the limit of best L$$_p$$-approximation. Zbl 0284.65004
Fletcher, R.; Grant, J. A.; Hebden, M. D.
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.
1974
An exact penalty function for nonlinear programming with inequalities. Zbl 0278.90063
Fletcher, R.
1973
An algorithm for solving linearly constrained optimization problems. Zbl 0249.90067
Fletcher, R.
1972
A class of methods for non-linear programming. III: Rates of convergence. Zbl 0277.90066
Fletcher, R.
1972
Minimizing general functions subject to linear constraints. Zbl 0268.90061
Fletcher, R.
1972
A general quadratic programming algorithm. Zbl 0226.90036
Fletcher, R.
1971
The calculation of linear best $$L_ p$$ approximations. Zbl 0225.65017
Fletcher, R.; Grant, J. A.; Hebden, M. D.
1971
A new approach to variable metric algorithm. Zbl 0207.17402
Fletcher, R.
1970
A class of methods for nonlinear programming with termination and convergence properties. Zbl 0332.90039
Fletcher, R.
1970
A class of methods for nonlinear programming. II: Computational experience. Zbl 0258.90044
Fletcher, R.; Lill, Shirley A.
1970
Generalized inverses for nonlinear equations and optimization. Zbl 0259.65059
Fletcher, R.
1970
A review of methods for unconstrained optimization. Zbl 0194.20404
Fletcher, R.
1969
Acceleration techniques for nonlinear programming. Zbl 0194.47704
Fletcher, R.; McCann, A. P.
1969
A technique for orthogonalization. Zbl 0185.07703
Fletcher, R.
1969
Optimization. Symposium of the Institute of Mathematics and its Applications, University of Keele, England, 1968. Zbl 0191.27401
Fletcher, R. (ed.)
1969
Generalized inverse methods for the best least squares solution of systems of non-linear equations. Zbl 0155.19803
Fletcher, R.
1968
New iterative methods for solution of the eigenproblem. Zbl 0202.43502
1966
Function minimization without evaluating derivatives. A review. Zbl 0139.10401
Fletcher, R.
1965
Function minimization by conjugate gradients. Zbl 0132.11701
Fletcher, R.; Reeves, C. M.
1964
A rapidly convergent descent method for minimization. Zbl 0132.11603
Fletcher, R.; Powell, M. J. D.
1963
all top 5

#### Cited by 5,096 Authors

 38 Martínez, José Mario 36 Dai, Yu-Hong 33 Zhu, Detong 26 Lukšan, Ladislav 26 Yuan, Gonglin 24 Andrei, Neculai 24 Pu, Dingguo 23 Wei, Zengxin 22 Fletcher, Roger 20 Liu, Hongwei 20 Toint, Philippe L. 20 Yuan, Ya-xiang 18 Fukushima, Masao 18 Yang, Xiaoqi 17 Leong, Wah June 16 Al-Baali, Mehiddin 16 Gu, Chao 16 Shanno, David F. 16 Sun, Wenyu 15 Powell, Michael James David 14 Ford, John A. 14 Li, Donghui 14 Nocedal, Jorge 14 Qi, Liqun 14 Shi, Zhenjun 14 Vlček, Jan 13 Birgin, Ernesto G. 13 Lucidi, Stefano 13 Raydan, Marcos 13 Teo, Kok Lay 13 Watson, G. Alistair 13 Zabaras, Nicholas J. 13 Zanni, Luca 12 Dong, Xiaoliang 12 Grippo, Luigi 12 Jian, Jinbao 12 Polak, Elijah (Lucien) 12 Ruggiero, Valeria 12 Santos, Sandra Augusta 11 Andreani, Roberto 11 Audet, Charles 11 Chen, Xiaojun 11 Conn, Andrew Roger 11 Fernandes, Edite M. G. P. 11 Goldfarb, Donald 11 Panagiotopoulos, Panagiotis D. 11 Shen, Chungen 11 Womersley, Robert S. 10 Antczak, Tadeusz 10 Babaie-Kafaki, Saman 10 Bonettini, Silvia 10 Byrd, Richard H. 10 Gill, Philip E. 10 Gould, Nicholas Ian Mark 10 Le Digabel, Sébastien 9 Amini, Keyvan 9 Brezinski, Claude 9 Huang, Ting-Zhu 9 Huang, Yakui 9 Kanzow, Christian 9 Karas, Elizabeth W. 9 Leyffer, Sven 9 Li, Xiangli 9 Liu, Zexian 9 Mahdavi-Amiri, Nezam 9 Nie, Puyan 9 Spedicato, Emilio 9 Storey, Colin 9 Su, Ke 9 Wang, Zhujun 8 Bandler, John W. 8 Biegler, Lorenz T. 8 Bnouhachem, Abdellah 8 Chen, Zhongwen 8 Costa, M. Fernanda P. 8 Curtis, Frank E. 8 Dai, Zhifeng 8 Dax, Achiya 8 Dennis, John E. jun. 8 Han, Deren 8 Hassan, Malik Abu 8 Ma, Changfeng 8 Murray, Walter 8 Pang, Liping 8 Saunders, Michael A. 8 Shen, Jie 8 Sirisena, Harsha R. 8 Sun, Jie 8 Wright, Stephen J. 8 Yao, Shengwei 8 Zhang, Jianzhong 7 Al-Homidan, Suliman S. 7 Ali, M. Montaz 7 Bartholomew-Biggs, Michael C. 7 Broyden, Charles George 7 Coleman, Thomas F. 7 di Serafino, Daniela 7 DiPillo, Gianni 7 Grossmann, Ignacio E. 7 Júdice, Joaquim João ...and 4,996 more Authors
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#### Cited in 390 Serials

 288 Journal of Optimization Theory and Applications 181 Journal of Computational and Applied Mathematics 179 Applied Mathematics and Computation 142 Mathematical Programming. Series A. Series B 129 Computational Optimization and Applications 107 Mathematical Programming 105 Optimization Methods & Software 86 European Journal of Operational Research 72 Optimization 71 Journal of Global Optimization 70 Computer Methods in Applied Mechanics and Engineering 66 Computers & Mathematics with Applications 63 International Journal for Numerical Methods in Engineering 63 Numerical Algorithms 62 Automatica 55 Linear Algebra and its Applications 46 International Journal of Computer Mathematics 43 Journal of Computational Physics 39 Mathematics of Computation 39 Numerical Functional Analysis and Optimization 39 Numerische Mathematik 39 Applied Numerical Mathematics 39 SIAM Journal on Optimization 37 Applied Mathematical Modelling 37 Mathematical Problems in Engineering 33 Computational Statistics and Data Analysis 31 International Journal of Control 30 Computing 29 Annals of Operations Research 27 International Journal of Systems Science 27 Computers & Operations Research 27 Computational and Applied Mathematics 27 Optimization Letters 24 Journal of Mathematical Analysis and Applications 23 Journal of the Franklin Institute 22 Optimization and Engineering 21 Pattern Recognition 19 Kybernetika 19 Journal of Statistical Computation and Simulation 17 SIAM Journal on Scientific Computing 16 Psychometrika 16 Journal of Applied Mathematics 16 Mathematical Programming Computation 15 BIT 15 Journal of Applied Mathematics and Computing 14 Computers and Fluids 14 Asia-Pacific Journal of Operational Research 14 Journal of Scientific Computing 14 Engineering Analysis with Boundary Elements 14 Journal of Industrial and Management Optimization 14 International Journal of Control, I. Series 13 Mathematical Biosciences 12 Computer Physics Communications 12 Applied Mathematics and Optimization 12 Computational Mechanics 12 Abstract and Applied Analysis 12 Mathematical Methods of Operations Research 11 Calcolo 11 Optimal Control Applications & Methods 11 Mathematical and Computer Modelling 11 Numerical Linear Algebra with Applications 11 Journal of Systems Science and Complexity 11 Science China. Mathematics 10 Journal of Approximation Theory 10 Operations Research Letters 10 Circuits, Systems, and Signal Processing 10 Acta Mathematicae Applicatae Sinica. English Series 10 Structural and Multidisciplinary Optimization 9 International Journal for Numerical Methods in Fluids 9 Journal of Statistical Planning and Inference 9 Mathematics and Computers in Simulation 9 Journal of Inequalities and Applications 9 Archives of Computational Methods in Engineering 8 Journal of Econometrics 8 Communications in Statistics. Theory and Methods 8 The ANZIAM Journal 8 Inverse Problems in Science and Engineering 8 Set-Valued and Variational Analysis 8 Nonlinear Analysis. Theory, Methods & Applications 7 Bulletin of Mathematical Biology 7 Information Sciences 7 Journal of Information & Optimization Sciences 7 Applied Mathematics Letters 7 International Journal of Robust and Nonlinear Control 7 Applied Mathematics. Series B (English Edition) 7 Top 7 European Journal of Control 7 International Journal of Applied Mathematics and Computer Science 7 Journal of the Operations Research Society of China 6 Biological Cybernetics 6 Annals of the Institute of Statistical Mathematics 6 Aplikace Matematiky 6 International Journal of Circuit Theory and Applications 6 Meccanica 6 Physica D 6 SIAM Journal on Matrix Analysis and Applications 6 Communications in Statistics. Simulation and Computation 6 Journal of Mathematical Imaging and Vision 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Acta Mathematica Sinica. English Series ...and 290 more Serials
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#### Cited in 51 Fields

 2,232 Operations research, mathematical programming (90-XX) 1,737 Numerical analysis (65-XX) 569 Calculus of variations and optimal control; optimization (49-XX) 267 Statistics (62-XX) 260 Systems theory; control (93-XX) 201 Mechanics of deformable solids (74-XX) 186 Computer science (68-XX) 111 Fluid mechanics (76-XX) 92 Biology and other natural sciences (92-XX) 90 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 80 Linear and multilinear algebra; matrix theory (15-XX) 79 Partial differential equations (35-XX) 61 Approximations and expansions (41-XX) 61 Information and communication theory, circuits (94-XX) 39 Probability theory and stochastic processes (60-XX) 35 Geophysics (86-XX) 34 Classical thermodynamics, heat transfer (80-XX) 32 Mechanics of particles and systems (70-XX) 28 Operator theory (47-XX) 27 Ordinary differential equations (34-XX) 24 Dynamical systems and ergodic theory (37-XX) 21 Optics, electromagnetic theory (78-XX) 18 Real functions (26-XX) 18 Quantum theory (81-XX) 18 Statistical mechanics, structure of matter (82-XX) 14 Integral equations (45-XX) 11 Convex and discrete geometry (52-XX) 11 Global analysis, analysis on manifolds (58-XX) 7 Measure and integration (28-XX) 6 Combinatorics (05-XX) 6 Functional analysis (46-XX) 5 Functions of a complex variable (30-XX) 5 Differential geometry (53-XX) 4 Integral transforms, operational calculus (44-XX) 4 Geometry (51-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Algebraic geometry (14-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 General and overarching topics; collections (00-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)

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