Edit Profile 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: 101 Publications since 1963, including 5 Books Biographic References: 4 Publications 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 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 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 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) Publications by Year all cited Publications top 5 cited Publications 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 0905.65002Fletcher, R. 1,081 1987 Function minimization by conjugate gradients. Zbl 0132.11701Fletcher, R.; Reeves, C. M. 587 1964 A rapidly convergent descent method for minimization. Zbl 0132.11603Fletcher, R.; Powell, M. J. D. 415 1963 A new approach to variable metric algorithm. Zbl 0207.17402Fletcher, R. 281 1970 Nonlinear programming without a penalty function. Zbl 1049.90088Fletcher, Roger; Leyffer, Sven 255 2002 Practical methods of optimization. Vol. 1: Unconstrained optimization. Zbl 0439.93001Fletcher, R. 171 1980 Conjugate gradient methods for indefinite systems. Zbl 0326.65033Fletcher, R. 169 1976 Practical methods of optimization. Vol. 2: Constrained optimization. Zbl 0474.65043Fletcher, R. 160 1981 On the global convergence of a filter-SQP algorithm. Zbl 1029.65063Fletcher, Roger; Leyffer, Sven; Toint, Philippe L. 124 2002 Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming. Zbl 1068.65073Dai, Yu-Hong; Fletcher, Roger 111 2005 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 108 2002 Solving mixed integer nonlinear programs by outer approximation. Zbl 0833.90088Fletcher, Roger; Leyffer, Sven 88 1994 Local convergence of SQP methods for mathematical programs with equilibrium constraints. Zbl 1112.90098Fletcher, Roger; Leyffer, Sven; Ralph, Danny; Scholtes, Stefan 79 2006 On the Barzilai-Borwein method. Zbl 1118.90318Fletcher, Roger 73 2005 Semi-definite matrix constraints in optimization. Zbl 0567.90088Fletcher, R. 57 1985 On the global convergence of an SLP-filter algorithm that takes EQP steps. Zbl 1023.90060Chin, Choong Ming; Fletcher, Roger 51 2003 Solving mathematical programs with complementary constraints as nonlinear programs. Zbl 1074.90044Fletcher, Roger; Leyffer, Sven 48 2004 New algorithms for singly linearly constrained quadratic programs subject to lower and upper bounds. Zbl 1134.90030Dai, Yu-Hong; Fletcher, Roger 46 2006 A class of methods for nonlinear programming with termination and convergence properties. Zbl 0332.90039Fletcher, R. 45 1970 A model algorithm for composite nondifferentiable optimization problems. Zbl 0478.90063Fletcher, R. 44 1982 An exact penalty function for nonlinear programming with inequalities. Zbl 0278.90063Fletcher, R. 42 1973 Numerical experience with lower bounds for MIQP branch-and-bound. Zbl 0912.90225Fletcher, Roger; Leyffer, Sven 39 1998 Practical methods of optimization. Repr. of the 2nd ed. Zbl 0988.65043Fletcher, Roger 37 2001 On the asymptotic behaviour of some new gradient methods. Zbl 1099.90038Dai, Yu-Hong; Fletcher, Roger 33 2005 Low storage methods for unconstrained optimization. Zbl 0699.65052Fletcher, R. 30 1990 A general quadratic programming algorithm. Zbl 0226.90036Fletcher, R. 30 1971 An algorithm for composite nonsmooth optimization problems. Zbl 0562.90077Womersley, R. S.; Fletcher, R. 28 1986 Variational methods for non-linear least-squares. Zbl 0578.65064Al-Baali, M.; Fletcher, R. 26 1985 New iterative methods for solution of the eigenproblem. Zbl 0202.43502Bradbury, W. W.; Fletcher, R. 26 1966 A nonmonotone filter method for nonlinear optimization. Zbl 1259.90140Shen, Chungen; Leyffer, Sven; Fletcher, Roger 22 2012 On the modification of LDL\(^T\) factorizations. Zbl 0293.65018Fletcher, R.; Powell, M. J. D. 22 1974 Function minimization without evaluating derivatives. A review. Zbl 0139.10401Fletcher, R. 22 1965 An ideal penalty function for constrained optimization. Zbl 0325.90056Fletcher, R. 21 1975 Minimization of a quadratic function of many variables subject only to lower and upper bounds. Zbl 0301.90032Fletcher, R.; Jackson, M. P. 21 1974 Hybrid methods for nonlinear least squares. Zbl 0648.65051Fletcher, R.; Xu, C. 20 1987 A limited memory steepest descent method. Zbl 1254.90113Fletcher, Roger 19 2012 The calculation of linear best \(L_ p\) approximations. Zbl 0225.65017Fletcher, R.; Grant, J. A.; Hebden, M. D. 18 1971 An optimal positive definite update for sparse Hessian matrices. Zbl 0824.65038Fletcher, R. 17 1995 An overview of unconstrained optimization. Zbl 0828.90123Fletcher, R. 17 1994 A modified Newton method for minimization. Zbl 0348.65058Fletcher, R.; Freeman, T. L. 17 1977 An algorithm for solving linearly constrained optimization problems. Zbl 0249.90067Fletcher, R. 17 1972 A new variational result for quasi-Newton formulae. Zbl 0752.90064Fletcher, R. 16 1991 Nonlinear programming and nonsmooth optimization by successive linear programming. Zbl 0724.90062Fletcher, R.; Sainz de la Maza, E. 15 1989 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 A review of methods for unconstrained optimization. Zbl 0194.20404Fletcher, R. 12 1969 Resolving degeneracy in quadratic programming. Zbl 0796.90042Fletcher, R. 11 1993 A nonlinear programming problem in statistics (educational testing). Zbl 0475.62089Fletcher, Roger 11 1981 Generalized inverse methods for the best least squares solution of systems of non-linear equations. Zbl 0155.19803Fletcher, R. 11 1968 Dense factors of sparse matrices. Zbl 1031.65043Fletcher, Roger 10 1997 Penalty functions. Zbl 0542.90087Fletcher, R. 10 1983 An ideal penalty function for constrained optimization. Zbl 0322.90053Fletcher, R. 10 1975 A class of methods for nonlinear programming. II: Computational experience. Zbl 0258.90044Fletcher, R.; Lill, Shirley A. 10 1970 Acceleration techniques for nonlinear programming. Zbl 0194.47704Fletcher, R.; McCann, A. P. 10 1969 Stable reduced Hessian updates for indefinite quadratic programming. Zbl 0964.65065Fletcher, R. 9 2000 Second order corrections for non-differentiable optimization. Zbl 0476.65048Fletcher, R. 9 1982 Linear minimax approximation as the limit of best L\(_p\)-approximation. Zbl 0284.65004Fletcher, R.; Grant, J. A.; Hebden, M. D. 9 1974 Recent developments in methods for nonlinear programming. Zbl 0706.90079Fletcher, R. 8 1989 Stable modification of explicit LU factors for simplex updates. Zbl 0574.65057Fletcher, R.; Matthews, S. P. J. 8 1984 On the stability of null-space methods for KKT systems. Zbl 0890.65060Fletcher, Roger; Johnson, Tom 7 1997 Hybrid methods for finding the nearest Euclidean distance matrix. Zbl 0928.65077Al-Homidan, Suliman; Fletcher, Roger 7 1995 A class of methods for non-linear programming. III: Rates of convergence. Zbl 0277.90066Fletcher, R. 6 1972 Minimizing general functions subject to linear constraints. Zbl 0268.90061Fletcher, R. 6 1972 Filter-type algorithms for solving systems of algebraic equations and inequalities. Zbl 1112.90372Fletcher, Roger; Leyffer, Sven 5 2003 A sequential linear constraint programming algorithm for NLP. Zbl 1258.65061Fletcher, Roger 4 2012 The sequential quadratic programming method. Zbl 1192.90002Fletcher, Roger 4 2010 Expected conditioning. Zbl 0574.65037Fletcher, R. 4 1985 An algorithmic derivation of the Jordan canonical form. Zbl 0529.15008Fletcher, R.; Sorensen, D. C. 4 1983 Methods for nonlinear constraints. Zbl 0548.90058Fletcher, R. 4 1982 A technique for orthogonalization. Zbl 0185.07703Fletcher, R. 4 1969 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 Cancellation errors in quasi-Newton methods. Zbl 0631.65067Fletcher, R. 3 1986 An algorithm for constrained non-linear least-squares. Zbl 0443.65048Holt, J. N.; Fletcher, R. 3 1979 Computing sparse Hessian and Jacobian approximations with optimal hereditary properties. Zbl 0884.65057Fletcher, Roger; Grothey, Andreas; Leyffer, Sven 2 1997 Degeneracy in the presence of roundoff errors. Zbl 0649.65032Fletcher, R. 2 1988 A stable algorithm for updating triangular factors under a rank one change. Zbl 0626.65020Fletcher, R.; Matthews, S. P. J. 2 1985 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 06943820Fletcher, Roger 1 2017 On Wolfe’s method for resolving degeneracy in linearly constrained optimization. Zbl 1307.90005Fletcher, Roger 1 2014 Binary separation and training support vector machines. Zbl 1238.68123Fletcher, Roger; Zanghirati, Gaetano 1 2010 A new degeneracy method and steepest-edge-based conditioning for LP. Zbl 0918.65042Fletcher, Roger 1 1998 Block triangular orderings and factors for sparse matrices in LP. Zbl 0903.65022Fletcher, R. 1 1998 M. J. D. Powell’s contributions to Numerical Mathematics. Zbl 1040.01512Buhmann, Martin D.; Fletcher, Roger 1 1997 Towards reliable linear programming. Zbl 0701.65044Fletcher, R.; Hall, J. A. J. 1 1990 A first derivative method for nonlinear programming based on successive \(\ell _ 1LP\). Zbl 0684.90086Fletcher, Roger 1 1989 Recent developments in linear and quadratic programming. Zbl 0615.65063Fletcher, R. 1 1987 An \(\ell _ 1\) penalty method for nonlinear constraints. Zbl 0583.65043Fletcher, R. 1 1985 Basis functions for the exact control of the heat equation. Zbl 0484.49025Fletcher, R.; Harley, P. J. 1 1982 Degenerate values for Broyden methods. Zbl 0424.65032Fletcher, R.; Sinclair, J. W. 1 1981 The generalized eigenvalue problem for certain unsymmetric band matrices. Zbl 0431.65018Fletcher, R.; Griffiths, D. F. 1 1980 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 Generalized inverses for nonlinear equations and optimization. Zbl 0259.65059Fletcher, R. 1 1970 Optimization. Symposium of the Institute of Mathematics and its Applications, University of Keele, England, 1968. Zbl 0191.27401Fletcher, R. (ed.) 1 1969 Augmented Lagrangians, box constrained QP and extensions. Zbl 06943820Fletcher, Roger 1 2017 On Wolfe’s method for resolving degeneracy in linearly constrained optimization. Zbl 1307.90005Fletcher, Roger 1 2014 A nonmonotone filter method for nonlinear optimization. Zbl 1259.90140Shen, Chungen; Leyffer, Sven; Fletcher, Roger 22 2012 A limited memory steepest descent method. Zbl 1254.90113Fletcher, Roger 19 2012 A sequential linear constraint programming algorithm for NLP. Zbl 1258.65061Fletcher, Roger 4 2012 The sequential quadratic programming method. Zbl 1192.90002Fletcher, Roger 4 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 79 2006 New algorithms for singly linearly constrained quadratic programs subject to lower and upper bounds. Zbl 1134.90030Dai, Yu-Hong; Fletcher, Roger 46 2006 Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming. Zbl 1068.65073Dai, Yu-Hong; Fletcher, Roger 111 2005 On the Barzilai-Borwein method. Zbl 1118.90318Fletcher, Roger 73 2005 On the asymptotic behaviour of some new gradient methods. Zbl 1099.90038Dai, Yu-Hong; Fletcher, Roger 33 2005 Solving mathematical programs with complementary constraints as nonlinear programs. Zbl 1074.90044Fletcher, Roger; Leyffer, Sven 48 2004 On the global convergence of an SLP-filter algorithm that takes EQP steps. Zbl 1023.90060Chin, Choong Ming; Fletcher, Roger 51 2003 Filter-type algorithms for solving systems of algebraic equations and inequalities. Zbl 1112.90372Fletcher, Roger; Leyffer, Sven 5 2003 Nonlinear programming without a penalty function. Zbl 1049.90088Fletcher, Roger; Leyffer, Sven 255 2002 On the global convergence of a filter-SQP algorithm. Zbl 1029.65063Fletcher, Roger; Leyffer, Sven; Toint, Philippe L. 124 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 108 2002 Practical methods of optimization. Repr. of the 2nd ed. Zbl 0988.65043Fletcher, Roger 37 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 A new degeneracy method and steepest-edge-based conditioning for LP. Zbl 0918.65042Fletcher, Roger 1 1998 Block triangular orderings and factors for sparse matrices in LP. Zbl 0903.65022Fletcher, R. 1 1998 Dense factors of sparse matrices. Zbl 1031.65043Fletcher, Roger 10 1997 On the stability of null-space methods for KKT systems. Zbl 0890.65060Fletcher, Roger; Johnson, Tom 7 1997 Computing sparse Hessian and Jacobian approximations with optimal hereditary properties. Zbl 0884.65057Fletcher, Roger; Grothey, Andreas; Leyffer, Sven 2 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 88 1994 An overview of unconstrained optimization. Zbl 0828.90123Fletcher, R. 17 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. 30 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. 15 1989 Recent developments in methods for nonlinear programming. Zbl 0706.90079Fletcher, R. 8 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. 1,081 1987 Hybrid methods for nonlinear least squares. Zbl 0648.65051Fletcher, R.; Xu, C. 20 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. 28 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. 3 1986 Semi-definite matrix constraints in optimization. Zbl 0567.90088Fletcher, R. 57 1985 Variational methods for non-linear least-squares. Zbl 0578.65064Al-Baali, M.; Fletcher, R. 26 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. 8 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. 44 1982 Second order corrections for non-differentiable optimization. Zbl 0476.65048Fletcher, R. 9 1982 Methods for nonlinear constraints. Zbl 0548.90058Fletcher, R. 4 1982 Basis functions for the exact control of the heat equation. Zbl 0484.49025Fletcher, R.; Harley, P. J. 1 1982 Practical methods of optimization. Vol. 2: Constrained optimization. Zbl 0474.65043Fletcher, R. 160 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. 171 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. 169 1976 Factorizing symmetric indefinite matrices. Zbl 0336.65022Fletcher, R. 13 1976 An ideal penalty function for constrained optimization. Zbl 0325.90056Fletcher, R. 21 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. 42 1973 An algorithm for solving linearly constrained optimization problems. Zbl 0249.90067Fletcher, R. 17 1972 A class of methods for non-linear programming. III: Rates of convergence. Zbl 0277.90066Fletcher, R. 6 1972 Minimizing general functions subject to linear constraints. Zbl 0268.90061Fletcher, R. 6 1972 A general quadratic programming algorithm. Zbl 0226.90036Fletcher, R. 30 1971 The calculation of linear best \(L_ p\) approximations. Zbl 0225.65017Fletcher, R.; Grant, J. A.; Hebden, M. D. 18 1971 A new approach to variable metric algorithm. Zbl 0207.17402Fletcher, R. 281 1970 A class of methods for nonlinear programming with termination and convergence properties. Zbl 0332.90039Fletcher, R. 45 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. 12 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 0191.27401Fletcher, R. (ed.) 1 1969 Generalized inverse methods for the best least squares solution of systems of non-linear equations. Zbl 0155.19803Fletcher, R. 11 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. 587 1964 A rapidly convergent descent method for minimization. Zbl 0132.11603Fletcher, R.; Powell, M. J. D. 415 1963 all cited Publications top 5 cited Publications 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 all top 5 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. 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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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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