Edit Profile (opens in new tab) Fletcher, Roger Compute Distance To: Compute 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 763 Co-Co-Authors all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 95 Publications have been cited 5,094 times in 3,871 Documents Cited by ▼ Year ▼ Practical methods of optimization. 2nd ed. Zbl 0905.65002Fletcher, R. 1,150 1987 Function minimization by conjugate gradients. Zbl 0132.11701Fletcher, R.; Reeves, C. M. 673 1964 A rapidly convergent descent method for minimization. Zbl 0132.11603Fletcher, R.; Powell, M. J. D. 429 1963 A new approach to variable metric algorithm. Zbl 0207.17402Fletcher, R. 312 1970 Nonlinear programming without a penalty function. Zbl 1049.90088Fletcher, Roger; Leyffer, Sven 269 2002 Conjugate gradient methods for indefinite systems. Zbl 0326.65033Fletcher, R. 157 1976 Practical methods of optimization. Vol. 1: Unconstrained optimization. Zbl 0439.93001Fletcher, R. 151 1980 Practical methods of optimization. Vol. 2: Constrained optimization. Zbl 0474.65043Fletcher, R. 142 1981 Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming. Zbl 1068.65073Dai, Yu-Hong; Fletcher, Roger 134 2005 On the global convergence of a filter-SQP algorithm. Zbl 1029.65063Fletcher, Roger; Leyffer, Sven; Toint, Philippe L. 134 2002 Global convergence of a trust-region SQP-filter algorithm for general nonlinear programming. Zbl 1038.90076Fletcher, Roger; Gould, Nicholas I. M.; Leyffer, Sven; Toint, Philippe L.; Wächter, Andreas 115 2002 Solving mixed integer nonlinear programs by outer approximation. Zbl 0833.90088Fletcher, Roger; Leyffer, Sven 107 1994 On the Barzilai-Borwein method. Zbl 1118.90318Fletcher, Roger 87 2005 Local convergence of SQP methods for mathematical programs with equilibrium constraints. Zbl 1112.90098Fletcher, Roger; Leyffer, Sven; Ralph, Danny; Scholtes, Stefan 85 2006 New algorithms for singly linearly constrained quadratic programs subject to lower and upper bounds. Zbl 1134.90030Dai, Yu-Hong; Fletcher, Roger 62 2006 Solving mathematical programs with complementary constraints as nonlinear programs. Zbl 1074.90044Fletcher, Roger; Leyffer, Sven 55 2004 On the global convergence of an SLP-filter algorithm that takes EQP steps. Zbl 1023.90060Chin, Choong Ming; Fletcher, Roger 54 2003 Semi-definite matrix constraints in optimization. Zbl 0567.90088Fletcher, R. 50 1985 A model algorithm for composite nondifferentiable optimization problems. Zbl 0478.90063Fletcher, R. 47 1982 An exact penalty function for nonlinear programming with inequalities. Zbl 0278.90063Fletcher, R. 43 1973 On the asymptotic behaviour of some new gradient methods. Zbl 1099.90038Dai, Yu-Hong; Fletcher, Roger 41 2005 Practical methods of optimization. Repr. of the 2nd ed. Zbl 0988.65043Fletcher, Roger 41 2001 A class of methods for nonlinear programming with termination and convergence properties. Zbl 0332.90039Fletcher, R. 40 1970 Numerical experience with lower bounds for MIQP branch-and-bound. Zbl 0912.90225Fletcher, Roger; Leyffer, Sven 39 1998 A general quadratic programming algorithm. Zbl 0226.90036Fletcher, R. 31 1971 An algorithm for composite nonsmooth optimization problems. Zbl 0562.90077Womersley, R. S.; Fletcher, R. 30 1986 Variational methods for non-linear least-squares. Zbl 0578.65064Al-Baali, M.; Fletcher, R. 27 1985 New iterative methods for solution of the eigenproblem. Zbl 0202.43502Bradbury, W. W.; Fletcher, R. 26 1966 A limited memory steepest descent method. Zbl 1254.90113Fletcher, Roger 25 2012 Function minimization without evaluating derivatives. A review. Zbl 0139.10401Fletcher, R. 22 1965 On the modification of LDL\(^T\) factorizations. Zbl 0293.65018Fletcher, R.; Powell, M. J. D. 22 1974 An ideal penalty function for constrained optimization. Zbl 0325.90056Fletcher, R. 22 1975 A nonmonotone filter method for nonlinear optimization. Zbl 1259.90140Shen, Chungen; Leyffer, Sven; Fletcher, Roger 22 2012 Hybrid methods for nonlinear least squares. Zbl 0648.65051Fletcher, R.; Xu, C. 21 1987 Low storage methods for unconstrained optimization. Zbl 0699.65052Fletcher, R. 21 1990 An overview of unconstrained optimization. Zbl 0828.90123Fletcher, R. 21 1994 Minimization of a quadratic function of many variables subject only to lower and upper bounds. Zbl 0301.90032Fletcher, R.; Jackson, M. P. 21 1974 The calculation of linear best \(L_ p\) approximations. Zbl 0225.65017Fletcher, R.; Grant, J. A.; Hebden, M. D. 19 1971 An algorithm for solving linearly constrained optimization problems. Zbl 0249.90067Fletcher, R. 18 1972 Nonlinear programming and nonsmooth optimization by successive linear programming. Zbl 0724.90062Fletcher, R.; Sainz de la Maza, E. 17 1989 An optimal positive definite update for sparse Hessian matrices. Zbl 0824.65038Fletcher, R. 17 1995 A modified Newton method for minimization. Zbl 0348.65058Fletcher, R.; Freeman, T. L. 17 1977 A new variational result for quasi-Newton formulae. Zbl 0752.90064Fletcher, R. 16 1991 First and second order conditions for a class of nondifferentiable optimization problems. Zbl 0433.90066Fletcher, R.; Watson, G. A. 15 1980 An efficient line search for nonlinear least squares. Zbl 0562.90074Al-Baali, M.; Fletcher, R. 14 1986 Factorizing symmetric indefinite matrices. Zbl 0336.65022Fletcher, R. 13 1976 Generalized inverse methods for the best least squares solution of systems of non-linear equations. Zbl 0155.19803Fletcher, R. 12 1968 A nonlinear programming problem in statistics (educational testing). Zbl 0475.62089Fletcher, Roger 11 1981 Resolving degeneracy in quadratic programming. Zbl 0796.90042Fletcher, R. 11 1993 A class of methods for nonlinear programming. II: Computational experience. Zbl 0258.90044Fletcher, R.; Lill, Shirley A. 10 1970 A review of methods for unconstrained optimization. Zbl 0194.20404Fletcher, R. 10 1969 Acceleration techniques for nonlinear programming. Zbl 0194.47704Fletcher, R.; McCann, A. P. 10 1969 An ideal penalty function for constrained optimization. Zbl 0322.90053Fletcher, R. 10 1975 Penalty functions. Zbl 0542.90087Fletcher, R. 10 1983 Second order corrections for non-differentiable optimization. Zbl 0476.65048Fletcher, R. 9 1982 Stable reduced Hessian updates for indefinite quadratic programming. Zbl 0964.65065Fletcher, R. 9 2000 Linear minimax approximation as the limit of best L\(_p\)-approximation. Zbl 0284.65004Fletcher, R.; Grant, J. A.; Hebden, M. D. 9 1974 Stable modification of explicit LU factors for simplex updates. Zbl 0574.65057Fletcher, R.; Matthews, S. P. J. 9 1984 On the stability of null-space methods for KKT systems. Zbl 0890.65060Fletcher, Roger; Johnson, Tom 8 1997 Hybrid methods for finding the nearest Euclidean distance matrix. Zbl 0928.65077Al-Homidan, Suliman; Fletcher, Roger 7 1995 Minimizing general functions subject to linear constraints. Zbl 0268.90061Fletcher, R. 6 1972 A class of methods for non-linear programming. III: Rates of convergence. Zbl 0277.90066Fletcher, R. 6 1972 Dense factors of sparse matrices. Zbl 1031.65043Fletcher, Roger 6 1997 A sequential linear constraint programming algorithm for NLP. Zbl 1258.65061Fletcher, Roger 5 2012 The sequential quadratic programming method. Zbl 1192.90002Fletcher, Roger 5 2010 Filter-type algorithms for solving systems of algebraic equations and inequalities. Zbl 1112.90372Fletcher, Roger; Leyffer, Sven 4 2003 An algorithmic derivation of the Jordan canonical form. Zbl 0529.15008Fletcher, R.; Sorensen, D. C. 4 1983 A technique for orthogonalization. Zbl 0185.07703Fletcher, R. 4 1969 Methods for nonlinear constraints. Zbl 0548.90058Fletcher, R. 4 1982 Expected conditioning. Zbl 0574.65037Fletcher, R. 4 1985 An algorithm for constrained non-linear least-squares. Zbl 0443.65048Holt, J. N.; Fletcher, R. 3 1979 On the order of convergence of preconditioned nonlinear conjugate gradient methods. Zbl 0849.90106Al-Baali, M.; Fletcher, R. 3 1996 Ordering algorithms for irreducible sparse linear systems. Zbl 0786.90036Fletcher, R.; Hall, J. A. J. 3 1993 A stable algorithm for updating triangular factors under a rank one change. Zbl 0626.65020Fletcher, R.; Matthews, S. P. J. 2 1985 Degeneracy in the presence of roundoff errors. Zbl 0649.65032Fletcher, R. 2 1988 Recent developments in methods for nonlinear programming. Zbl 0706.90079Fletcher, R. 2 1989 Numerical experiments with an exact \(L_ 1\) penalty function method. Zbl 0534.49025Fletcher, R. 2 1981 Some numerical experience with a globally convergent algorithm for nonlinearly constrained optimization. Zbl 0418.65028Coope, I. D.; Fletcher, R. 2 1980 Augmented Lagrangians, box constrained QP and extensions. Zbl 1475.65039Fletcher, Roger 2 2017 Recent developments in linear and quadratic programming. Zbl 0615.65063Fletcher, R. 1 1987 Cancellation errors in quasi-Newton methods. Zbl 0631.65067Fletcher, R. 1 1986 A first derivative method for nonlinear programming based on successive \(\ell _ 1LP\). Zbl 0684.90086Fletcher, Roger 1 1989 Towards reliable linear programming. Zbl 0701.65044Fletcher, R.; Hall, J. A. J. 1 1990 Degenerate values for Broyden methods. Zbl 0424.65032Fletcher, R.; Sinclair, J. W. 1 1981 Generalized inverses for nonlinear equations and optimization. Zbl 0259.65059Fletcher, R. 1 1970 The continuity and differentiability of the parameters of best linear L\(_p\) approximations. Zbl 0269.41025Fletcher, R.; Grant, J. A.; Hebden, M. D. 1 1974 Optimization. Symposium of the Institute of Mathematics and its Applications, University of Keele, England, 1968. Zbl 0191.27401 1 1969 The generalized eigenvalue problem for certain unsymmetric band matrices. Zbl 0431.65018Fletcher, R.; Griffiths, D. F. 1 1980 Block triangular orderings and factors for sparse matrices in LP. Zbl 0903.65022Fletcher, R. 1 1998 A new degeneracy method and steepest-edge-based conditioning for LP. Zbl 0918.65042Fletcher, Roger 1 1998 Computing sparse Hessian and Jacobian approximations with optimal hereditary properties. Zbl 0884.65057Fletcher, Roger; Grothey, Andreas; Leyffer, Sven 1 1997 An \(\ell _ 1\) penalty method for nonlinear constraints. Zbl 0583.65043Fletcher, R. 1 1985 On Wolfe’s method for resolving degeneracy in linearly constrained optimization. Zbl 1307.90005Fletcher, Roger 1 2014 M. J. D. Powell’s contributions to Numerical Mathematics. Zbl 1040.01512Buhmann, Martin D.; Fletcher, Roger 1 1997 Binary separation and training support vector machines. Zbl 1238.68123Fletcher, Roger; Zanghirati, Gaetano 1 2010 Augmented Lagrangians, box constrained QP and extensions. Zbl 1475.65039Fletcher, Roger 2 2017 On Wolfe’s method for resolving degeneracy in linearly constrained optimization. Zbl 1307.90005Fletcher, Roger 1 2014 A limited memory steepest descent method. Zbl 1254.90113Fletcher, Roger 25 2012 A nonmonotone filter method for nonlinear optimization. Zbl 1259.90140Shen, Chungen; Leyffer, Sven; Fletcher, Roger 22 2012 A sequential linear constraint programming algorithm for NLP. Zbl 1258.65061Fletcher, Roger 5 2012 The sequential quadratic programming method. Zbl 1192.90002Fletcher, Roger 5 2010 Binary separation and training support vector machines. Zbl 1238.68123Fletcher, Roger; Zanghirati, Gaetano 1 2010 Local convergence of SQP methods for mathematical programs with equilibrium constraints. Zbl 1112.90098Fletcher, Roger; Leyffer, Sven; Ralph, Danny; Scholtes, Stefan 85 2006 New algorithms for singly linearly constrained quadratic programs subject to lower and upper bounds. Zbl 1134.90030Dai, Yu-Hong; Fletcher, Roger 62 2006 Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming. Zbl 1068.65073Dai, Yu-Hong; Fletcher, Roger 134 2005 On the Barzilai-Borwein method. Zbl 1118.90318Fletcher, Roger 87 2005 On the asymptotic behaviour of some new gradient methods. Zbl 1099.90038Dai, Yu-Hong; Fletcher, Roger 41 2005 Solving mathematical programs with complementary constraints as nonlinear programs. Zbl 1074.90044Fletcher, Roger; Leyffer, Sven 55 2004 On the global convergence of an SLP-filter algorithm that takes EQP steps. Zbl 1023.90060Chin, Choong Ming; Fletcher, Roger 54 2003 Filter-type algorithms for solving systems of algebraic equations and inequalities. Zbl 1112.90372Fletcher, Roger; Leyffer, Sven 4 2003 Nonlinear programming without a penalty function. Zbl 1049.90088Fletcher, Roger; Leyffer, Sven 269 2002 On the global convergence of a filter-SQP algorithm. Zbl 1029.65063Fletcher, Roger; Leyffer, Sven; Toint, Philippe L. 134 2002 Global convergence of a trust-region SQP-filter algorithm for general nonlinear programming. Zbl 1038.90076Fletcher, Roger; Gould, Nicholas I. M.; Leyffer, Sven; Toint, Philippe L.; Wächter, Andreas 115 2002 Practical methods of optimization. Repr. of the 2nd ed. Zbl 0988.65043Fletcher, Roger 41 2001 Stable reduced Hessian updates for indefinite quadratic programming. Zbl 0964.65065Fletcher, R. 9 2000 Numerical experience with lower bounds for MIQP branch-and-bound. Zbl 0912.90225Fletcher, Roger; Leyffer, Sven 39 1998 Block triangular orderings and factors for sparse matrices in LP. Zbl 0903.65022Fletcher, R. 1 1998 A new degeneracy method and steepest-edge-based conditioning for LP. Zbl 0918.65042Fletcher, Roger 1 1998 On the stability of null-space methods for KKT systems. Zbl 0890.65060Fletcher, Roger; Johnson, Tom 8 1997 Dense factors of sparse matrices. Zbl 1031.65043Fletcher, Roger 6 1997 Computing sparse Hessian and Jacobian approximations with optimal hereditary properties. Zbl 0884.65057Fletcher, Roger; Grothey, Andreas; Leyffer, Sven 1 1997 M. J. D. Powell’s contributions to Numerical Mathematics. Zbl 1040.01512Buhmann, Martin D.; Fletcher, Roger 1 1997 On the order of convergence of preconditioned nonlinear conjugate gradient methods. Zbl 0849.90106Al-Baali, M.; Fletcher, R. 3 1996 An optimal positive definite update for sparse Hessian matrices. Zbl 0824.65038Fletcher, R. 17 1995 Hybrid methods for finding the nearest Euclidean distance matrix. Zbl 0928.65077Al-Homidan, Suliman; Fletcher, Roger 7 1995 Solving mixed integer nonlinear programs by outer approximation. Zbl 0833.90088Fletcher, Roger; Leyffer, Sven 107 1994 An overview of unconstrained optimization. Zbl 0828.90123Fletcher, R. 21 1994 Resolving degeneracy in quadratic programming. Zbl 0796.90042Fletcher, R. 11 1993 Ordering algorithms for irreducible sparse linear systems. Zbl 0786.90036Fletcher, R.; Hall, J. A. J. 3 1993 A new variational result for quasi-Newton formulae. Zbl 0752.90064Fletcher, R. 16 1991 Low storage methods for unconstrained optimization. Zbl 0699.65052Fletcher, R. 21 1990 Towards reliable linear programming. Zbl 0701.65044Fletcher, R.; Hall, J. A. J. 1 1990 Nonlinear programming and nonsmooth optimization by successive linear programming. Zbl 0724.90062Fletcher, R.; Sainz de la Maza, E. 17 1989 Recent developments in methods for nonlinear programming. Zbl 0706.90079Fletcher, R. 2 1989 A first derivative method for nonlinear programming based on successive \(\ell _ 1LP\). Zbl 0684.90086Fletcher, Roger 1 1989 Degeneracy in the presence of roundoff errors. Zbl 0649.65032Fletcher, R. 2 1988 Practical methods of optimization. 2nd ed. Zbl 0905.65002Fletcher, R. 1,150 1987 Hybrid methods for nonlinear least squares. Zbl 0648.65051Fletcher, R.; Xu, C. 21 1987 Recent developments in linear and quadratic programming. Zbl 0615.65063Fletcher, R. 1 1987 An algorithm for composite nonsmooth optimization problems. Zbl 0562.90077Womersley, R. S.; Fletcher, R. 30 1986 An efficient line search for nonlinear least squares. Zbl 0562.90074Al-Baali, M.; Fletcher, R. 14 1986 Cancellation errors in quasi-Newton methods. Zbl 0631.65067Fletcher, R. 1 1986 Semi-definite matrix constraints in optimization. Zbl 0567.90088Fletcher, R. 50 1985 Variational methods for non-linear least-squares. Zbl 0578.65064Al-Baali, M.; Fletcher, R. 27 1985 Expected conditioning. Zbl 0574.65037Fletcher, R. 4 1985 A stable algorithm for updating triangular factors under a rank one change. Zbl 0626.65020Fletcher, R.; Matthews, S. P. J. 2 1985 An \(\ell _ 1\) penalty method for nonlinear constraints. Zbl 0583.65043Fletcher, R. 1 1985 Stable modification of explicit LU factors for simplex updates. Zbl 0574.65057Fletcher, R.; Matthews, S. P. J. 9 1984 Penalty functions. Zbl 0542.90087Fletcher, R. 10 1983 An algorithmic derivation of the Jordan canonical form. Zbl 0529.15008Fletcher, R.; Sorensen, D. C. 4 1983 A model algorithm for composite nondifferentiable optimization problems. Zbl 0478.90063Fletcher, R. 47 1982 Second order corrections for non-differentiable optimization. Zbl 0476.65048Fletcher, R. 9 1982 Methods for nonlinear constraints. Zbl 0548.90058Fletcher, R. 4 1982 Practical methods of optimization. Vol. 2: Constrained optimization. Zbl 0474.65043Fletcher, R. 142 1981 A nonlinear programming problem in statistics (educational testing). Zbl 0475.62089Fletcher, Roger 11 1981 Numerical experiments with an exact \(L_ 1\) penalty function method. Zbl 0534.49025Fletcher, R. 2 1981 Degenerate values for Broyden methods. Zbl 0424.65032Fletcher, R.; Sinclair, J. W. 1 1981 Practical methods of optimization. Vol. 1: Unconstrained optimization. Zbl 0439.93001Fletcher, R. 151 1980 First and second order conditions for a class of nondifferentiable optimization problems. Zbl 0433.90066Fletcher, R.; Watson, G. A. 15 1980 Some numerical experience with a globally convergent algorithm for nonlinearly constrained optimization. Zbl 0418.65028Coope, I. D.; Fletcher, R. 2 1980 The generalized eigenvalue problem for certain unsymmetric band matrices. Zbl 0431.65018Fletcher, R.; Griffiths, D. F. 1 1980 An algorithm for constrained non-linear least-squares. Zbl 0443.65048Holt, J. N.; Fletcher, R. 3 1979 A modified Newton method for minimization. Zbl 0348.65058Fletcher, R.; Freeman, T. L. 17 1977 Conjugate gradient methods for indefinite systems. Zbl 0326.65033Fletcher, R. 157 1976 Factorizing symmetric indefinite matrices. Zbl 0336.65022Fletcher, R. 13 1976 An ideal penalty function for constrained optimization. Zbl 0325.90056Fletcher, R. 22 1975 An ideal penalty function for constrained optimization. Zbl 0322.90053Fletcher, R. 10 1975 On the modification of LDL\(^T\) factorizations. Zbl 0293.65018Fletcher, R.; Powell, M. J. D. 22 1974 Minimization of a quadratic function of many variables subject only to lower and upper bounds. Zbl 0301.90032Fletcher, R.; Jackson, M. P. 21 1974 Linear minimax approximation as the limit of best L\(_p\)-approximation. Zbl 0284.65004Fletcher, R.; Grant, J. A.; Hebden, M. D. 9 1974 The continuity and differentiability of the parameters of best linear L\(_p\) approximations. Zbl 0269.41025Fletcher, R.; Grant, J. A.; Hebden, M. D. 1 1974 An exact penalty function for nonlinear programming with inequalities. Zbl 0278.90063Fletcher, R. 43 1973 An algorithm for solving linearly constrained optimization problems. Zbl 0249.90067Fletcher, R. 18 1972 Minimizing general functions subject to linear constraints. Zbl 0268.90061Fletcher, R. 6 1972 A class of methods for non-linear programming. III: Rates of convergence. Zbl 0277.90066Fletcher, R. 6 1972 A general quadratic programming algorithm. Zbl 0226.90036Fletcher, R. 31 1971 The calculation of linear best \(L_ p\) approximations. Zbl 0225.65017Fletcher, R.; Grant, J. A.; Hebden, M. D. 19 1971 A new approach to variable metric algorithm. Zbl 0207.17402Fletcher, R. 312 1970 A class of methods for nonlinear programming with termination and convergence properties. Zbl 0332.90039Fletcher, R. 40 1970 A class of methods for nonlinear programming. II: Computational experience. Zbl 0258.90044Fletcher, R.; Lill, Shirley A. 10 1970 Generalized inverses for nonlinear equations and optimization. Zbl 0259.65059Fletcher, R. 1 1970 A review of methods for unconstrained optimization. Zbl 0194.20404Fletcher, R. 10 1969 Acceleration techniques for nonlinear programming. Zbl 0194.47704Fletcher, R.; McCann, A. P. 10 1969 A technique for orthogonalization. Zbl 0185.07703Fletcher, 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 0155.19803Fletcher, R. 12 1968 New iterative methods for solution of the eigenproblem. Zbl 0202.43502Bradbury, W. W.; Fletcher, R. 26 1966 Function minimization without evaluating derivatives. A review. Zbl 0139.10401Fletcher, R. 22 1965 Function minimization by conjugate gradients. Zbl 0132.11701Fletcher, R.; Reeves, C. M. 673 1964 A rapidly convergent descent method for minimization. Zbl 0132.11603Fletcher, R.; Powell, M. J. D. 429 1963 all cited Publications top 5 cited Publications all top 5 Cited by 5,098 Authors 40 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 Qi, Liqun 15 Vlček, Jan 14 Birgin, Ernesto G. 14 Dong, Xiaoliang 14 Ford, John A. 14 Jian, Jinbao 14 Leyffer, Sven 14 Nocedal, Jorge 14 Raydan, Marcos 14 Sun, Wenyu 14 Zanni, Luca 13 Huang, Yakui 13 Ruggiero, Valeria 13 Shi, Zhenjun 13 Teo, Kok Lay 13 Watson, G. Alistair 13 Zabaras, Nicholas J. 12 Andreani, Roberto 12 Chen, Zhongwen 12 Conn, Andrew Roger 12 Grippo, Luigi 12 Liu, Zexian 12 Lucidi, Stefano 12 Panagiotopoulos, Panagiotis D. 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 9 Yu, Gaohang 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 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 4,998 more Authors all top 5 Cited in 423 Serials 294 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 69 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 Annals of Operations Research 32 Computational Statistics and Data Analysis 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 Communications in Statistics. Simulation and Computation 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 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 323 more Serials all top 5 Cited in 51 Fields 2,402 Operations research, mathematical programming (90-XX) 1,854 Numerical analysis (65-XX) 591 Calculus of variations and optimal control; optimization (49-XX) 293 Statistics (62-XX) 256 Systems theory; control (93-XX) 212 Computer science (68-XX) 206 Mechanics of deformable solids (74-XX) 113 Fluid mechanics (76-XX) 103 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 98 Partial differential equations (35-XX) 97 Biology and other natural sciences (92-XX) 85 Linear and multilinear algebra; matrix theory (15-XX) 73 Information and communication theory, circuits (94-XX) 63 Approximations and expansions (41-XX) 40 Probability theory and stochastic processes (60-XX) 39 Geophysics (86-XX) 37 Mechanics of particles and systems (70-XX) 36 Classical thermodynamics, heat transfer (80-XX) 31 Operator theory (47-XX) 27 Ordinary differential equations (34-XX) 27 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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