## 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: 99 Publications since 1963, including 4 Books 2 Contributions as Editor Biographic References: 4 Publications Co-Authors: 36 Co-Authors with 45 Joint Publications 759 Co-Co-Authors
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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 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 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

 77 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 Open

95 Publications have been cited 5,066 times in 3,853 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
Conjugate gradient methods for indefinite systems. Zbl 0326.65033
Fletcher, R.
1976
Practical methods of optimization. Vol. 1: Unconstrained optimization. Zbl 0439.93001
Fletcher, R.
1980
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
New algorithms for singly linearly constrained quadratic programs subject to lower and upper bounds. Zbl 1134.90030
Dai, Yu-Hong; Fletcher, Roger
2006
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
Semi-definite matrix constraints in optimization. Zbl 0567.90088
Fletcher, R.
1985
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
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
A class of methods for nonlinear programming with termination and convergence properties. Zbl 0332.90039
Fletcher, R.
1970
Numerical experience with lower bounds for MIQP branch-and-bound. Zbl 0912.90225
Fletcher, Roger; Leyffer, Sven
1998
An algorithm for composite nonsmooth optimization problems. Zbl 0562.90077
Womersley, R. S.; Fletcher, R.
1986
A general quadratic programming algorithm. Zbl 0226.90036
Fletcher, R.
1971
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 limited memory steepest descent method. Zbl 1254.90113
Fletcher, Roger
2012
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
An ideal penalty function for constrained optimization. Zbl 0325.90056
Fletcher, R.
1975
Function minimization without evaluating derivatives. A review. Zbl 0139.10401
Fletcher, R.
1965
Hybrid methods for nonlinear least squares. Zbl 0648.65051
Fletcher, R.; Xu, C.
1987
An overview of unconstrained optimization. Zbl 0828.90123
Fletcher, R.
1994
Low storage methods for unconstrained optimization. Zbl 0699.65052
Fletcher, R.
1990
Minimization of a quadratic function of many variables subject only to lower and upper bounds. Zbl 0301.90032
Fletcher, R.; Jackson, M. P.
1974
The calculation of linear best $$L_ p$$ approximations. Zbl 0225.65017
Fletcher, R.; Grant, J. A.; Hebden, M. D.
1971
An algorithm for solving linearly constrained optimization problems. Zbl 0249.90067
Fletcher, R.
1972
An optimal positive definite update for sparse Hessian matrices. Zbl 0824.65038
Fletcher, R.
1995
A modified Newton method for minimization. Zbl 0348.65058
Fletcher, R.; Freeman, T. L.
1977
Nonlinear programming and nonsmooth optimization by successive linear programming. Zbl 0724.90062
Fletcher, R.; Sainz de la Maza, E.
1989
A new variational result for quasi-Newton formulae. Zbl 0752.90064
Fletcher, R.
1991
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
Generalized inverse methods for the best least squares solution of systems of non-linear equations. Zbl 0155.19803
Fletcher, R.
1968
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
A class of methods for nonlinear programming. II: Computational experience. Zbl 0258.90044
Fletcher, R.; Lill, Shirley A.
1970
An ideal penalty function for constrained optimization. Zbl 0322.90053
Fletcher, R.
1975
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
Penalty functions. Zbl 0542.90087
Fletcher, R.
1983
Fletcher, R.
2000
Stable modification of explicit LU factors for simplex updates. Zbl 0574.65057
Fletcher, R.; Matthews, S. P. J.
1984
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
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
Dense factors of sparse matrices. Zbl 1031.65043
Fletcher, Roger
1997
Minimizing general functions subject to linear constraints. Zbl 0268.90061
Fletcher, R.
1972
A class of methods for non-linear programming. III: Rates of convergence. Zbl 0277.90066
Fletcher, R.
1972
The sequential quadratic programming method. Zbl 1192.90002
Fletcher, Roger
2010
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 sequential linear constraint programming algorithm for NLP. Zbl 1258.65061
Fletcher, Roger
2012
Expected conditioning. Zbl 0574.65037
Fletcher, R.
1985
A technique for orthogonalization. Zbl 0185.07703
Fletcher, R.
1969
Filter-type algorithms for solving systems of algebraic equations and inequalities. Zbl 1112.90372
Fletcher, Roger; Leyffer, Sven
2003
Ordering algorithms for irreducible sparse linear systems. Zbl 0786.90036
Fletcher, R.; Hall, J. A. J.
1993
On the order of convergence of preconditioned nonlinear conjugate gradient methods. Zbl 0849.90106
Al-Baali, M.; Fletcher, R.
1996
An algorithm for constrained non-linear least-squares. Zbl 0443.65048
Holt, J. N.; Fletcher, R.
1979
Numerical experiments with an exact $$L_ 1$$ penalty function method. Zbl 0534.49025
Fletcher, R.
1981
A stable algorithm for updating triangular factors under a rank one change. Zbl 0626.65020
Fletcher, R.; Matthews, S. P. J.
1985
Degeneracy in the presence of roundoff errors. Zbl 0649.65032
Fletcher, R.
1988
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 1475.65039
Fletcher, Roger
2017
Recent developments in methods for nonlinear programming. Zbl 0706.90079
Fletcher, R.
1989
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
Block triangular orderings and factors for sparse matrices in LP. Zbl 0903.65022
Fletcher, R.
1998
A new degeneracy method and steepest-edge-based conditioning for LP. Zbl 0918.65042
Fletcher, Roger
1998
Recent developments in linear and quadratic programming. Zbl 0615.65063
Fletcher, R.
1987
Cancellation errors in quasi-Newton methods. Zbl 0631.65067
Fletcher, R.
1986
Binary separation and training support vector machines. Zbl 1238.68123
Fletcher, Roger; Zanghirati, Gaetano
2010
An $$\ell _ 1$$ penalty method for nonlinear constraints. Zbl 0583.65043
Fletcher, R.
1985
A first derivative method for nonlinear programming based on successive $$\ell _ 1LP$$. Zbl 0684.90086
Fletcher, Roger
1989
Towards reliable linear programming. Zbl 0701.65044
Fletcher, R.; Hall, J. A. J.
1990
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
Generalized inverses for nonlinear equations and optimization. Zbl 0259.65059
Fletcher, R.
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.
1974
Optimization. Symposium of the Institute of Mathematics and its Applications, University of Keele, England, 1968. Zbl 0191.27401
1969
On Wolfe’s method for resolving degeneracy in linearly constrained optimization. Zbl 1307.90005
Fletcher, Roger
2014
Augmented Lagrangians, box constrained QP and extensions. Zbl 1475.65039
Fletcher, Roger
2017
On Wolfe’s method for resolving degeneracy in linearly constrained optimization. Zbl 1307.90005
Fletcher, Roger
2014
A limited memory steepest descent method. Zbl 1254.90113
Fletcher, Roger
2012
A nonmonotone filter method for nonlinear optimization. Zbl 1259.90140
Shen, Chungen; Leyffer, Sven; 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
Block triangular orderings and factors for sparse matrices in LP. Zbl 0903.65022
Fletcher, R.
1998
A new degeneracy method and steepest-edge-based conditioning for LP. Zbl 0918.65042
Fletcher, Roger
1998
On the stability of null-space methods for KKT systems. Zbl 0890.65060
Fletcher, Roger; Johnson, Tom
1997
Dense factors of sparse matrices. Zbl 1031.65043
Fletcher, Roger
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
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
Minimizing general functions subject to linear constraints. Zbl 0268.90061
Fletcher, R.
1972
A class of methods for non-linear programming. III: Rates of convergence. Zbl 0277.90066
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
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 5,071 Authors

 39 Dai, Yu-Hong 39 Martínez, José Mario 34 Zhu, Detong 31 Yuan, Gonglin 27 Lukšan, Ladislav 25 Andrei, Neculai 25 Pu, Dingguo 23 Wei, Zengxin 22 Fletcher, Roger 20 Toint, Philippe L. 20 Yuan, Ya-xiang 18 Fukushima, Masao 18 Yang, Xiaoqi 17 Al-Baali, Mehiddin 16 Gu, Chao 16 Leong, Wah June 16 Li, Donghui 16 Liu, Hongwei 16 Shanno, David F. 15 Powell, Michael James David 15 Vlček, Jan 14 Birgin, Ernesto G. 14 Dong, Xiaoliang 14 Ford, John A. 14 Jian, Jinbao 14 Leyffer, Sven 14 Nocedal, Jorge 14 Qi, Liqun 14 Raydan, Marcos 14 Sun, Wenyu 13 Huang, Yakui 13 Shi, Zhenjun 13 Teo, Kok Lay 13 Watson, G. Alistair 13 Zabaras, Nicholas J. 13 Zanni, Luca 12 Andreani, Roberto 12 Chen, Zhongwen 12 Conn, Andrew Roger 12 Grippo, Luigi 12 Liu, Zexian 12 Lucidi, Stefano 12 Panagiotopoulos, Panagiotis D. 12 Ruggiero, Valeria 12 Santos, Sandra Augusta 11 Audet, Charles 11 Babaie-Kafaki, Saman 11 Fernandes, Edite M. G. P. 11 Goldfarb, Donald 11 Shen, Chungen 10 Amini, Keyvan 10 Antczak, Tadeusz 10 Bonettini, Silvia 10 Byrd, Richard H. 10 Chen, Xiaojun 10 Curtis, Frank E. 10 Gill, Philip E. 10 Le Digabel, Sébastien 10 Li, Xiangli 10 Liu, Xinwei 10 Mamat, Mustafa Bin 10 Su, Ke 10 Wright, Stephen J. 9 Biegler, Lorenz T. 9 Dai, Zhifeng 9 Kanzow, Christian 9 Karas, Elizabeth W. 9 Ma, Changfeng 9 Saunders, Michael A. 9 Spedicato, Emilio 9 Wang, Zhujun 8 Alhawarat, Ahmad 8 Bandler, John W. 8 Bnouhachem, Abdellah 8 Brezinski, Claude 8 Costa, M. Fernanda P. 8 Dax, Achiya 8 Dennis, John E. jun. 8 di Serafino, Daniela 8 Du, Shouqiang 8 Han, Deren 8 Lesnic, Daniel 8 Mahdavi-Amiri, Nezam 8 Meng, Zhiqing 8 Murray, Walter 8 Pang, Liping 8 Polak, Elijah (Lucien) 8 Salleh, Zabidin 8 Sirisena, Harsha R. 8 Sun, Jie 8 Tapia, Richard A. 8 Yao, Shengwei 8 Yu, Gaohang 8 Zhang, Jianzhong 7 Ali, Montaz M. 7 Bala Abubakar, Auwal 7 Broyden, Charles George 7 Cao, Kai 7 Coleman, Thomas F. 7 Ghanbari, Reza ...and 4,971 more Authors
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### Cited in 418 Serials

 293 Journal of Optimization Theory and Applications 182 Journal of Computational and Applied Mathematics 178 Applied Mathematics and Computation 148 Mathematical Programming. Series A. Series B 144 Computational Optimization and Applications 111 Optimization Methods & Software 107 Mathematical Programming 82 Journal of Global Optimization 82 European Journal of Operational Research 76 Optimization 70 Computer Methods in Applied Mechanics and Engineering 68 Numerical Algorithms 63 International Journal for Numerical Methods in Engineering 62 Computers & Mathematics with Applications 54 Linear Algebra and its Applications 53 Automatica 53 International Journal of Computer Mathematics 51 SIAM Journal on Optimization 47 Mathematical Problems in Engineering 42 Journal of Computational Physics 41 Applied Numerical Mathematics 40 Numerische Mathematik 39 Mathematics of Computation 39 Numerical Functional Analysis and Optimization 35 Applied Mathematical Modelling 33 International Journal of Control 33 Computational and Applied Mathematics 32 Computational Statistics and Data Analysis 31 Annals of Operations Research 30 Computing 29 Optimization and Engineering 29 Optimization Letters 28 Computers & Operations Research 27 International Journal of Systems Science 24 Journal of Mathematical Analysis and Applications 23 Journal of the Franklin Institute 21 Pattern Recognition 19 Kybernetika 19 Journal of Scientific Computing 19 Journal of Statistical Computation and Simulation 19 SIAM Journal on Scientific Computing 19 Journal of Inequalities and Applications 18 Journal of Industrial and Management Optimization 18 Mathematical Programming Computation 17 Psychometrika 17 Journal of Applied Mathematics and Computing 16 Journal of Applied Mathematics 15 BIT 15 Asia-Pacific Journal of Operational Research 14 Computers and Fluids 14 International Journal of Control, I. Series 13 Mathematical Biosciences 13 Applied Mathematics and Optimization 13 Computational Mechanics 13 Communications in Statistics. Theory and Methods 12 Computer Physics Communications 12 Calcolo 12 Mathematics and Computers in Simulation 12 Abstract and Applied Analysis 12 Mathematical Methods of Operations Research 12 Inverse Problems in Science and Engineering 11 Optimal Control Applications & Methods 11 Acta Mathematicae Applicatae Sinica. English Series 11 Numerical Linear Algebra with Applications 11 Journal of Systems Science and Complexity 11 Science China. Mathematics 10 Operations Research Letters 10 Circuits, Systems, and Signal Processing 10 Mathematical and Computer Modelling 10 Structural and Multidisciplinary Optimization 9 International Journal for Numerical Methods in Fluids 9 Journal of Approximation Theory 9 Journal of Econometrics 9 Journal of Statistical Planning and Inference 9 Journal of Mathematical Imaging and Vision 9 Engineering Analysis with Boundary Elements 9 Archives of Computational Methods in Engineering 8 Information Sciences 8 Machine Learning 8 European Journal of Control 8 The ANZIAM Journal 8 Journal of Machine Learning Research (JMLR) 8 Set-Valued and Variational Analysis 8 Journal of the Operations Research Society of China 7 Bulletin of Mathematical Biology 7 Annals of the Institute of Statistical Mathematics 7 Meccanica 7 Journal of Information & Optimization Sciences 7 Applied Mathematics Letters 7 Computational Statistics 7 Communications in Statistics. Simulation and Computation 7 International Journal of Robust and Nonlinear Control 7 Applied Mathematics. Series B (English Edition) 7 Filomat 7 Top 7 International Journal of Applied Mathematics and Computer Science 7 Numerical Algebra, Control and Optimization 7 Nonlinear Analysis. Theory, Methods & Applications 6 Biological Cybernetics 6 Aplikace Matematiky ...and 318 more Serials
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### Cited in 51 Fields

 2,391 Operations research, mathematical programming (90-XX) 1,851 Numerical analysis (65-XX) 591 Calculus of variations and optimal control; optimization (49-XX) 291 Statistics (62-XX) 257 Systems theory; control (93-XX) 210 Computer science (68-XX) 207 Mechanics of deformable solids (74-XX) 113 Fluid mechanics (76-XX) 100 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 98 Partial differential equations (35-XX) 95 Biology and other natural sciences (92-XX) 84 Linear and multilinear algebra; matrix theory (15-XX) 73 Information and communication theory, circuits (94-XX) 63 Approximations and expansions (41-XX) 41 Probability theory and stochastic processes (60-XX) 38 Geophysics (86-XX) 37 Classical thermodynamics, heat transfer (80-XX) 36 Mechanics of particles and systems (70-XX) 31 Operator theory (47-XX) 26 Ordinary differential equations (34-XX) 26 Dynamical systems and ergodic theory (37-XX) 20 Optics, electromagnetic theory (78-XX) 19 Quantum theory (81-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Real functions (26-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 Integral equations (45-XX) 10 Convex and discrete geometry (52-XX) 8 Measure and integration (28-XX) 7 Combinatorics (05-XX) 7 Functional analysis (46-XX) 6 Differential geometry (53-XX) 5 General and overarching topics; collections (00-XX) 5 Functions of a complex variable (30-XX) 5 Integral transforms, operational calculus (44-XX) 5 Geometry (51-XX) 4 Algebraic geometry (14-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 History and biography (01-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) 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 Sequences, series, summability (40-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)

### Wikidata Timeline

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