Edit Profile (opens in new tab) Fletcher, Roger (b. 1939 d. 2016) Co-Author Distance Author ID: fletcher.roger Published as: Fletcher, R.; Fletcher, Roger Homepage: http://www.maths.dundee.ac.uk/~fletcher/ External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 99 Publications since 1963, including 4 Books 2 Contributions as Editor Biographic References: 4 Publications Co-Authors: 37 Co-Authors with 46 Joint Publications 1,004 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 Louis 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, Matthew P. F. 1 Johnson, Tom 1 Lill, Shirley A. 1 McCann, A. P. 1 Ralph, Daniel 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 Xu, Chengxian 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 96 Publications have been cited 5,669 times in 4,270 Documents Cited by ▼ Year ▼ Practical methods of optimization. 2nd ed. Zbl 0905.65002 Fletcher, R. 1,276 1987 Function minimization by conjugate gradients. Zbl 0132.11701 Fletcher, R.; Reeves, C. M. 777 1964 A rapidly convergent descent method for minimization. Zbl 0132.11603 Fletcher, R.; Powell, M. J. D. 451 1963 A new approach to variable metric algorithm. Zbl 0207.17402 Fletcher, R. 360 1970 Nonlinear programming without a penalty function. Zbl 1049.90088 Fletcher, Roger; Leyffer, Sven 292 2002 Conjugate gradient methods for indefinite systems. Zbl 0326.65033 Fletcher, R. 178 1976 Practical methods of optimization. Vol. 1: Unconstrained optimization. Zbl 0439.93001 Fletcher, R. 172 1980 Practical methods of optimization. Vol. 2: Constrained optimization. Zbl 0474.65043 Fletcher, R. 166 1981 On the global convergence of a filter-SQP algorithm. Zbl 1029.65063 Fletcher, Roger; Leyffer, Sven; Toint, Philippe L. 144 2002 Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming. Zbl 1068.65073 Dai, Yu-Hong; Fletcher, Roger 142 2005 Solving mixed integer nonlinear programs by outer approximation. Zbl 0833.90088 Fletcher, Roger; Leyffer, Sven 137 1994 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 123 2002 On the Barzilai-Borwein method. Zbl 1118.90318 Fletcher, Roger 100 2005 Local convergence of SQP methods for mathematical programs with equilibrium constraints. Zbl 1112.90098 Fletcher, Roger; Leyffer, Sven; Ralph, Danny; Scholtes, Stefan 92 2006 New algorithms for singly linearly constrained quadratic programs subject to lower and upper bounds. Zbl 1134.90030 Dai, Yu-Hong; Fletcher, Roger 73 2006 Solving mathematical programs with complementary constraints as nonlinear programs. Zbl 1074.90044 Fletcher, Roger; Leyffer, Sven 62 2004 On the global convergence of an SLP-filter algorithm that takes EQP steps. Zbl 1023.90060 Chin, Choong Ming; Fletcher, Roger 58 2003 A model algorithm for composite nondifferentiable optimization problems. Zbl 0478.90063 Fletcher, R. 57 1982 Semi-definite matrix constraints in optimization. Zbl 0567.90088 Fletcher, R. 50 1985 Practical methods of optimization. Repr. of the 2nd ed. Zbl 0988.65043 Fletcher, Roger 48 2001 An exact penalty function for nonlinear programming with inequalities. Zbl 0278.90063 Fletcher, R. 45 1973 Numerical experience with lower bounds for MIQP branch-and-bound. Zbl 0912.90225 Fletcher, Roger; Leyffer, Sven 44 1998 A class of methods for nonlinear programming with termination and convergence properties. Zbl 0332.90039 Fletcher, R. 43 1970 On the asymptotic behaviour of some new gradient methods. Zbl 1099.90038 Dai, Yu-Hong; Fletcher, Roger 42 2005 A general quadratic programming algorithm. Zbl 0226.90036 Fletcher, R. 33 1971 An algorithm for composite nonsmooth optimization problems. Zbl 0562.90077 Womersley, R. S.; Fletcher, R. 32 1986 A limited memory steepest descent method. Zbl 1254.90113 Fletcher, Roger 29 2012 Variational methods for non-linear least-squares. Zbl 0578.65064 Al-Baali, M.; Fletcher, R. 27 1985 New iterative methods for solution of the eigenproblem. Zbl 0202.43502 Bradbury, W. W.; Fletcher, R. 27 1966 An overview of unconstrained optimization. Zbl 0828.90123 Fletcher, R. 26 1994 A nonmonotone filter method for nonlinear optimization. Zbl 1259.90140 Shen, Chungen; Leyffer, Sven; Fletcher, Roger 26 2012 An ideal penalty function for constrained optimization. Zbl 0325.90056 Fletcher, R. 25 1975 Low storage methods for unconstrained optimization. Zbl 0699.65052 Fletcher, R. 24 1990 Function minimization without evaluating derivatives. A review. Zbl 0139.10401 Fletcher, R. 23 1965 Hybrid methods for nonlinear least squares. Zbl 0648.65051 Fletcher, R.; Xu, C. 22 1987 On the modification of LDL\(^T\) factorizations. Zbl 0293.65018 Fletcher, R.; Powell, M. J. D. 22 1974 Minimization of a quadratic function of many variables subject only to lower and upper bounds. Zbl 0301.90032 Fletcher, R.; Jackson, M. P. 21 1974 An algorithm for solving linearly constrained optimization problems. Zbl 0249.90067 Fletcher, R. 20 1972 The calculation of linear best \(L_ p\) approximations. Zbl 0225.65017 Fletcher, R.; Grant, J. A.; Hebden, M. D. 19 1971 Nonlinear programming and nonsmooth optimization by successive linear programming. Zbl 0724.90062 Fletcher, R.; Sainz de la Maza, E. 19 1989 A modified Newton method for minimization. Zbl 0348.65058 Fletcher, R.; Freeman, T. L. 18 1977 An optimal positive definite update for sparse Hessian matrices. Zbl 0824.65038 Fletcher, R. 17 1995 First and second order conditions for a class of nondifferentiable optimization problems. Zbl 0433.90066 Fletcher, R.; Watson, G. A. 17 1980 A new variational result for quasi-Newton formulae. Zbl 0752.90064 Fletcher, R. 16 1991 An efficient line search for nonlinear least squares. Zbl 0562.90074 Al-Baali, M.; Fletcher, R. 14 1986 Factorizing symmetric indefinite matrices. Zbl 0336.65022 Fletcher, R. 14 1976 A nonlinear programming problem in statistics (educational testing). Zbl 0475.62089 Fletcher, Roger 13 1981 Penalty functions. Zbl 0542.90087 Fletcher, R. 12 1983 Generalized inverse methods for the best least squares solution of systems of non-linear equations. Zbl 0155.19803 Fletcher, R. 12 1968 An ideal penalty function for constrained optimization. Zbl 0322.90053 Fletcher, R. 12 1975 Resolving degeneracy in quadratic programming. Zbl 0796.90042 Fletcher, R. 12 1993 A review of methods for unconstrained optimization. Zbl 0194.20404 Fletcher, R. 12 1969 Second order corrections for non-differentiable optimization. Zbl 0476.65048 Fletcher, R. 11 1982 A class of methods for nonlinear programming. II: Computational experience. Zbl 0258.90044 Fletcher, R.; Lill, Shirley A. 10 1970 Stable modification of explicit LU factors for simplex updates. Zbl 0574.65057 Fletcher, R.; Matthews, S. P. J. 10 1984 Acceleration techniques for nonlinear programming. Zbl 0194.47704 Fletcher, R.; McCann, A. P. 10 1969 On the stability of null-space methods for KKT systems. Zbl 0890.65060 Fletcher, Roger; Johnson, Tom 9 1997 Stable reduced Hessian updates for indefinite quadratic programming. Zbl 0964.65065 Fletcher, R. 9 2000 Linear minimax approximation as the limit of best L\(_p\)-approximation. Zbl 0284.65004 Fletcher, R.; Grant, J. A.; Hebden, M. D. 9 1974 Hybrid methods for finding the nearest Euclidean distance matrix. Zbl 0928.65077 Al-Homidan, Suliman; Fletcher, Roger 7 1995 Filter-type algorithms for solving systems of algebraic equations and inequalities. Zbl 1112.90372 Fletcher, Roger; Leyffer, Sven 7 2003 A class of methods for non-linear programming. III: Rates of convergence. Zbl 0277.90066 Fletcher, R. 7 1972 Dense factors of sparse matrices. Zbl 1031.65043 Fletcher, Roger 7 1997 Minimizing general functions subject to linear constraints. Zbl 0268.90061 Fletcher, R. 6 1972 A sequential linear constraint programming algorithm for NLP. Zbl 1258.65061 Fletcher, Roger 6 2012 The sequential quadratic programming method. Zbl 1192.90002 Fletcher, Roger 5 2010 An algorithmic derivation of the Jordan canonical form. Zbl 0529.15008 Fletcher, R.; Sorensen, D. C. 4 1983 Methods for nonlinear constraints. Zbl 0548.90058 Fletcher, R. 4 1982 A technique for orthogonalization. Zbl 0185.07703 Fletcher, R. 4 1969 Expected conditioning. Zbl 0574.65037 Fletcher, R. 4 1985 On the order of convergence of preconditioned nonlinear conjugate gradient methods. Zbl 0849.90106 Al-Baali, M.; Fletcher, R. 3 1996 An \(\ell _ 1\) penalty method for nonlinear constraints. Zbl 0583.65043 Fletcher, R. 3 1985 Some numerical experience with a globally convergent algorithm for nonlinearly constrained optimization. Zbl 0418.65028 Coope, I. D.; Fletcher, R. 3 1980 An algorithm for constrained non-linear least-squares. Zbl 0443.65048 Holt, J. N.; Fletcher, R. 3 1979 Ordering algorithms for irreducible sparse linear systems. Zbl 0786.90036 Fletcher, R.; Hall, J. A. J. 3 1993 Augmented Lagrangians, box constrained QP and extensions. Zbl 1475.65039 Fletcher, Roger 3 2017 A stable algorithm for updating triangular factors under a rank one change. Zbl 0626.65020 Fletcher, R.; Matthews, S. P. J. 2 1985 Degeneracy in the presence of roundoff errors. Zbl 0649.65032 Fletcher, R. 2 1988 Numerical experiments with an exact \(L_ 1\) penalty function method. Zbl 0534.49025 Fletcher, R. 2 1981 Recent developments in methods for nonlinear programming. Zbl 0706.90079 Fletcher, R. 2 1989 Computing sparse Hessian and Jacobian approximations with optimal hereditary properties. Zbl 0884.65057 Fletcher, Roger; Grothey, Andreas; Leyffer, Sven 2 1997 A new low rank quasi-Newton update scheme for nonlinear programming. Zbl 1219.90161 Fletcher, R. 2 2006 Cancellation errors in quasi-Newton methods. Zbl 0631.65067 Fletcher, R. 1 1986 A first derivative method for nonlinear programming based on successive \(\ell _ 1LP\). Zbl 0684.90086 Fletcher, Roger 1 1989 Block triangular orderings and factors for sparse matrices in LP. Zbl 0903.65022 Fletcher, R. 1 1998 A new degeneracy method and steepest-edge-based conditioning for LP. Zbl 0918.65042 Fletcher, Roger 1 1998 Optimization. Symposium of the Institute of Mathematics and its Applications, University of Keele, England, 1968. Zbl 0191.27401 1 1969 Generalized inverses for nonlinear equations and optimization. Zbl 0259.65059 Fletcher, R. 1 1970 The continuity and differentiability of the parameters of best linear L\(_p\) approximations. Zbl 0269.41025 Fletcher, R.; Grant, J. A.; Hebden, M. D. 1 1974 Recent developments in linear and quadratic programming. Zbl 0615.65063 Fletcher, R. 1 1987 Towards reliable linear programming. Zbl 0701.65044 Fletcher, R.; Hall, J. A. J. 1 1990 Degenerate values for Broyden methods. Zbl 0424.65032 Fletcher, R.; Sinclair, J. W. 1 1981 The generalized eigenvalue problem for certain unsymmetric band matrices. Zbl 0431.65018 Fletcher, R.; Griffiths, D. F. 1 1980 Binary separation and training support vector machines. Zbl 1238.68123 Fletcher, Roger; Zanghirati, Gaetano 1 2010 M. J. D. Powell’s contributions to Numerical Mathematics. Zbl 1040.01512 Buhmann, Martin D.; Fletcher, Roger 1 1997 On Wolfe’s method for resolving degeneracy in linearly constrained optimization. Zbl 1307.90005 Fletcher, Roger 1 2014 Augmented Lagrangians, box constrained QP and extensions. Zbl 1475.65039 Fletcher, Roger 3 2017 On Wolfe’s method for resolving degeneracy in linearly constrained optimization. Zbl 1307.90005 Fletcher, Roger 1 2014 A limited memory steepest descent method. Zbl 1254.90113 Fletcher, Roger 29 2012 A nonmonotone filter method for nonlinear optimization. Zbl 1259.90140 Shen, Chungen; Leyffer, Sven; Fletcher, Roger 26 2012 A sequential linear constraint programming algorithm for NLP. Zbl 1258.65061 Fletcher, Roger 6 2012 The sequential quadratic programming method. Zbl 1192.90002 Fletcher, Roger 5 2010 Binary separation and training support vector machines. Zbl 1238.68123 Fletcher, Roger; Zanghirati, Gaetano 1 2010 Local convergence of SQP methods for mathematical programs with equilibrium constraints. Zbl 1112.90098 Fletcher, Roger; Leyffer, Sven; Ralph, Danny; Scholtes, Stefan 92 2006 New algorithms for singly linearly constrained quadratic programs subject to lower and upper bounds. Zbl 1134.90030 Dai, Yu-Hong; Fletcher, Roger 73 2006 A new low rank quasi-Newton update scheme for nonlinear programming. Zbl 1219.90161 Fletcher, R. 2 2006 Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming. Zbl 1068.65073 Dai, Yu-Hong; Fletcher, Roger 142 2005 On the Barzilai-Borwein method. Zbl 1118.90318 Fletcher, Roger 100 2005 On the asymptotic behaviour of some new gradient methods. Zbl 1099.90038 Dai, Yu-Hong; Fletcher, Roger 42 2005 Solving mathematical programs with complementary constraints as nonlinear programs. Zbl 1074.90044 Fletcher, Roger; Leyffer, Sven 62 2004 On the global convergence of an SLP-filter algorithm that takes EQP steps. Zbl 1023.90060 Chin, Choong Ming; Fletcher, Roger 58 2003 Filter-type algorithms for solving systems of algebraic equations and inequalities. Zbl 1112.90372 Fletcher, Roger; Leyffer, Sven 7 2003 Nonlinear programming without a penalty function. Zbl 1049.90088 Fletcher, Roger; Leyffer, Sven 292 2002 On the global convergence of a filter-SQP algorithm. Zbl 1029.65063 Fletcher, Roger; Leyffer, Sven; Toint, Philippe L. 144 2002 Global convergence of a trust-region SQP-filter algorithm for general nonlinear programming. Zbl 1038.90076 Fletcher, Roger; Gould, Nicholas I. M.; Leyffer, Sven; Toint, Philippe L.; Wächter, Andreas 123 2002 Practical methods of optimization. Repr. of the 2nd ed. Zbl 0988.65043 Fletcher, Roger 48 2001 Stable reduced Hessian updates for indefinite quadratic programming. Zbl 0964.65065 Fletcher, R. 9 2000 Numerical experience with lower bounds for MIQP branch-and-bound. Zbl 0912.90225 Fletcher, Roger; Leyffer, Sven 44 1998 Block triangular orderings and factors for sparse matrices in LP. Zbl 0903.65022 Fletcher, R. 1 1998 A new degeneracy method and steepest-edge-based conditioning for LP. Zbl 0918.65042 Fletcher, Roger 1 1998 On the stability of null-space methods for KKT systems. Zbl 0890.65060 Fletcher, Roger; Johnson, Tom 9 1997 Dense factors of sparse matrices. Zbl 1031.65043 Fletcher, Roger 7 1997 Computing sparse Hessian and Jacobian approximations with optimal hereditary properties. Zbl 0884.65057 Fletcher, Roger; Grothey, Andreas; Leyffer, Sven 2 1997 M. J. D. Powell’s contributions to Numerical Mathematics. Zbl 1040.01512 Buhmann, Martin D.; Fletcher, Roger 1 1997 On the order of convergence of preconditioned nonlinear conjugate gradient methods. Zbl 0849.90106 Al-Baali, M.; Fletcher, R. 3 1996 An optimal positive definite update for sparse Hessian matrices. Zbl 0824.65038 Fletcher, R. 17 1995 Hybrid methods for finding the nearest Euclidean distance matrix. Zbl 0928.65077 Al-Homidan, Suliman; Fletcher, Roger 7 1995 Solving mixed integer nonlinear programs by outer approximation. Zbl 0833.90088 Fletcher, Roger; Leyffer, Sven 137 1994 An overview of unconstrained optimization. Zbl 0828.90123 Fletcher, R. 26 1994 Resolving degeneracy in quadratic programming. Zbl 0796.90042 Fletcher, R. 12 1993 Ordering algorithms for irreducible sparse linear systems. Zbl 0786.90036 Fletcher, R.; Hall, J. A. J. 3 1993 A new variational result for quasi-Newton formulae. Zbl 0752.90064 Fletcher, R. 16 1991 Low storage methods for unconstrained optimization. Zbl 0699.65052 Fletcher, R. 24 1990 Towards reliable linear programming. Zbl 0701.65044 Fletcher, R.; Hall, J. A. J. 1 1990 Nonlinear programming and nonsmooth optimization by successive linear programming. Zbl 0724.90062 Fletcher, R.; Sainz de la Maza, E. 19 1989 Recent developments in methods for nonlinear programming. Zbl 0706.90079 Fletcher, R. 2 1989 A first derivative method for nonlinear programming based on successive \(\ell _ 1LP\). Zbl 0684.90086 Fletcher, Roger 1 1989 Degeneracy in the presence of roundoff errors. Zbl 0649.65032 Fletcher, R. 2 1988 Practical methods of optimization. 2nd ed. Zbl 0905.65002 Fletcher, R. 1,276 1987 Hybrid methods for nonlinear least squares. Zbl 0648.65051 Fletcher, R.; Xu, C. 22 1987 Recent developments in linear and quadratic programming. Zbl 0615.65063 Fletcher, R. 1 1987 An algorithm for composite nonsmooth optimization problems. Zbl 0562.90077 Womersley, R. S.; Fletcher, R. 32 1986 An efficient line search for nonlinear least squares. Zbl 0562.90074 Al-Baali, M.; Fletcher, R. 14 1986 Cancellation errors in quasi-Newton methods. Zbl 0631.65067 Fletcher, R. 1 1986 Semi-definite matrix constraints in optimization. Zbl 0567.90088 Fletcher, R. 50 1985 Variational methods for non-linear least-squares. Zbl 0578.65064 Al-Baali, M.; Fletcher, R. 27 1985 Expected conditioning. Zbl 0574.65037 Fletcher, R. 4 1985 An \(\ell _ 1\) penalty method for nonlinear constraints. Zbl 0583.65043 Fletcher, R. 3 1985 A stable algorithm for updating triangular factors under a rank one change. Zbl 0626.65020 Fletcher, R.; Matthews, S. P. J. 2 1985 Stable modification of explicit LU factors for simplex updates. Zbl 0574.65057 Fletcher, R.; Matthews, S. P. J. 10 1984 Penalty functions. Zbl 0542.90087 Fletcher, R. 12 1983 An algorithmic derivation of the Jordan canonical form. Zbl 0529.15008 Fletcher, R.; Sorensen, D. C. 4 1983 A model algorithm for composite nondifferentiable optimization problems. Zbl 0478.90063 Fletcher, R. 57 1982 Second order corrections for non-differentiable optimization. Zbl 0476.65048 Fletcher, R. 11 1982 Methods for nonlinear constraints. Zbl 0548.90058 Fletcher, R. 4 1982 Practical methods of optimization. Vol. 2: Constrained optimization. Zbl 0474.65043 Fletcher, R. 166 1981 A nonlinear programming problem in statistics (educational testing). Zbl 0475.62089 Fletcher, Roger 13 1981 Numerical experiments with an exact \(L_ 1\) penalty function method. Zbl 0534.49025 Fletcher, R. 2 1981 Degenerate values for Broyden methods. Zbl 0424.65032 Fletcher, R.; Sinclair, J. W. 1 1981 Practical methods of optimization. Vol. 1: Unconstrained optimization. Zbl 0439.93001 Fletcher, R. 172 1980 First and second order conditions for a class of nondifferentiable optimization problems. Zbl 0433.90066 Fletcher, R.; Watson, G. A. 17 1980 Some numerical experience with a globally convergent algorithm for nonlinearly constrained optimization. Zbl 0418.65028 Coope, I. D.; Fletcher, R. 3 1980 The generalized eigenvalue problem for certain unsymmetric band matrices. Zbl 0431.65018 Fletcher, R.; Griffiths, D. F. 1 1980 An algorithm for constrained non-linear least-squares. Zbl 0443.65048 Holt, J. N.; Fletcher, R. 3 1979 A modified Newton method for minimization. Zbl 0348.65058 Fletcher, R.; Freeman, T. L. 18 1977 Conjugate gradient methods for indefinite systems. Zbl 0326.65033 Fletcher, R. 178 1976 Factorizing symmetric indefinite matrices. Zbl 0336.65022 Fletcher, R. 14 1976 An ideal penalty function for constrained optimization. Zbl 0325.90056 Fletcher, R. 25 1975 An ideal penalty function for constrained optimization. Zbl 0322.90053 Fletcher, R. 12 1975 On the modification of LDL\(^T\) factorizations. Zbl 0293.65018 Fletcher, R.; Powell, M. J. D. 22 1974 Minimization of a quadratic function of many variables subject only to lower and upper bounds. Zbl 0301.90032 Fletcher, R.; Jackson, M. P. 21 1974 Linear minimax approximation as the limit of best L\(_p\)-approximation. Zbl 0284.65004 Fletcher, R.; Grant, J. A.; Hebden, M. D. 9 1974 The continuity and differentiability of the parameters of best linear L\(_p\) approximations. Zbl 0269.41025 Fletcher, R.; Grant, J. A.; Hebden, M. D. 1 1974 An exact penalty function for nonlinear programming with inequalities. Zbl 0278.90063 Fletcher, R. 45 1973 An algorithm for solving linearly constrained optimization problems. Zbl 0249.90067 Fletcher, R. 20 1972 A class of methods for non-linear programming. III: Rates of convergence. Zbl 0277.90066 Fletcher, R. 7 1972 Minimizing general functions subject to linear constraints. Zbl 0268.90061 Fletcher, R. 6 1972 A general quadratic programming algorithm. Zbl 0226.90036 Fletcher, R. 33 1971 The calculation of linear best \(L_ p\) approximations. Zbl 0225.65017 Fletcher, R.; Grant, J. A.; Hebden, M. D. 19 1971 A new approach to variable metric algorithm. Zbl 0207.17402 Fletcher, R. 360 1970 A class of methods for nonlinear programming with termination and convergence properties. Zbl 0332.90039 Fletcher, R. 43 1970 A class of methods for nonlinear programming. II: Computational experience. Zbl 0258.90044 Fletcher, R.; Lill, Shirley A. 10 1970 Generalized inverses for nonlinear equations and optimization. Zbl 0259.65059 Fletcher, R. 1 1970 A review of methods for unconstrained optimization. Zbl 0194.20404 Fletcher, R. 12 1969 Acceleration techniques for nonlinear programming. Zbl 0194.47704 Fletcher, R.; McCann, A. P. 10 1969 A technique for orthogonalization. Zbl 0185.07703 Fletcher, R. 4 1969 Optimization. Symposium of the Institute of Mathematics and its Applications, University of Keele, England, 1968. Zbl 0191.27401 1 1969 Generalized inverse methods for the best least squares solution of systems of non-linear equations. Zbl 0155.19803 Fletcher, R. 12 1968 New iterative methods for solution of the eigenproblem. Zbl 0202.43502 Bradbury, W. W.; Fletcher, R. 27 1966 Function minimization without evaluating derivatives. A review. Zbl 0139.10401 Fletcher, R. 23 1965 Function minimization by conjugate gradients. Zbl 0132.11701 Fletcher, R.; Reeves, C. M. 777 1964 A rapidly convergent descent method for minimization. Zbl 0132.11603 Fletcher, R.; Powell, M. J. D. 451 1963 all cited Publications top 5 cited Publications all top 5 Cited by 5,821 Authors 44 Dai, Yu-Hong 39 Martínez, José Mario 39 Yuan, Gonglin 36 Zhu, Detong 27 Lukšan, Ladislav 25 Andrei, Neculai 25 Pu, Dingguo 23 Fletcher, Roger 23 Wei, Zengxin 21 Jian, Jinbao 21 Toint, Philippe Louis 20 Yuan, Ya-xiang 19 Yang, Xiaoqi 18 Fukushima, Masao 18 Leong, Wah June 17 Al-Baali, Mehiddin 17 Gu, Chao 17 Ruggiero, Valeria 17 Zanni, Luca 16 Leyffer, Sven 16 Li, Donghui 16 Liu, Hongwei 16 Shanno, David F. 16 Sun, Wenyu 15 Dong, Xiaoliang 15 Jiang, Xianzhen 15 Liu, Zexian 15 Nocedal, Jorge 15 Powell, Michael James David 15 Qi, Liqun 15 Vlček, Jan 14 Amini, Keyvan 14 Birgin, Ernesto G. 14 Ford, John A. 14 Huang, Yakui 14 Raydan, Marcos 14 Shi, Zhenjun 14 Teo, Kok Lay 13 Antczak, Tadeusz 13 Audet, Charles 13 Babaie-Kafaki, Saman 13 Kumam, Poom 13 Santos, Sandra Augusta 13 Watson, G. Alistair 13 Zabaras, Nicholas J. 12 Andreani, Roberto 12 Chen, Zhongwen 12 Conn, Andrew Roger 12 Goldfarb, Donald 12 Grippo, Luigi 12 Liu, Xinwei 12 Lucidi, Stefano 12 Panagiotopoulos, Panagiotis D. 12 Shen, Chungen 11 Bala Abubakar, Auwal 11 Byrd, Richard H. 11 Chen, Xiaojun 11 Fernandes, Edite M. G. P. 11 Le Digabel, Sébastien 11 Mamat, Mustafa Bin 11 Schmidt, Martin 11 Waziri, Mohammed Yusuf 10 Bonettini, Silvia 10 Curtis, Frank E. 10 Du, Shouqiang 10 Gill, Philip E. 10 Li, Xiangli 10 Pang, Liping 10 Su, Ke 10 Sun, Jie 10 Wild, Stefan M. 10 Wright, Stephen J. 9 Alhawarat, Ahmad 9 Biegler, Lorenz T. 9 Dai, Zhifeng 9 di Serafino, Daniela 9 Grossmann, Ignacio E. 9 Han, Deren 9 Huang, Ting-Zhu 9 Kanzow, Christian 9 Karas, Elizabeth Wegner 9 Larson, Jeffrey 9 Liu, Jinkui 9 Ma, Changfeng 9 Mahdavi-Amiri, Nezam 9 Meng, Zhiqing 9 Salleh, Zabidin 9 Saunders, Michael A. 9 Spedicato, Emilio 9 Wang, Zhujun 9 Xu, Chengxian 9 Yao, Shengwei 9 Yu, Gaohang 8 Bandler, John W. 8 Bnouhachem, Abdellah 8 Brezinski, Claude 8 Costa, M. Fernanda P. 8 Dax, Achiya 8 Dennis, John E. jun. 8 Hassan, Malik Abu ...and 5,721 more Authors all top 5 Cited in 455 Serials 301 Journal of Optimization Theory and Applications 194 Journal of Computational and Applied Mathematics 185 Applied Mathematics and Computation 157 Mathematical Programming. Series A. Series B 156 Computational Optimization and Applications 125 Optimization Methods & Software 107 Mathematical Programming 93 Journal of Global Optimization 85 European Journal of Operational Research 81 Computer Methods in Applied Mechanics and Engineering 81 Optimization 79 Numerical Algorithms 68 Computers & Mathematics with Applications 68 Automatica 65 International Journal for Numerical Methods in Engineering 61 SIAM Journal on Optimization 56 International Journal of Computer Mathematics 55 Linear Algebra and its Applications 51 Journal of Computational Physics 51 Mathematical Problems in Engineering 46 Applied Numerical Mathematics 42 Numerische Mathematik 41 Applied Mathematical Modelling 39 Mathematics of Computation 39 Numerical Functional Analysis and Optimization 36 Computational and Applied Mathematics 35 Annals of Operations Research 33 International Journal of Control 33 Computational Statistics and Data Analysis 33 Optimization and Engineering 33 Optimization Letters 31 Computers & Operations Research 30 Computing 27 International Journal of Systems Science 26 Journal of Applied Mathematics and Computing 26 Journal of Industrial and Management Optimization 25 Journal of the Franklin Institute 25 Journal of Mathematical Analysis and Applications 24 Journal of Scientific Computing 23 SIAM Journal on Scientific Computing 22 Computer Physics Communications 21 Journal of Statistical Computation and Simulation 21 Pattern Recognition 21 Journal of Inequalities and Applications 20 Kybernetika 18 Psychometrika 18 Mathematical Programming Computation 16 Journal of Applied Mathematics 15 BIT 15 Mathematics and Computers in Simulation 15 Computational Mechanics 15 Asia-Pacific Journal of Operational Research 14 Computers and Fluids 14 Applied Mathematics and Optimization 14 Communications in Statistics. Theory and Methods 14 International Journal of Control, I. Series 13 Mathematical Biosciences 13 Calcolo 13 Mathematical Methods of Operations Research 13 Science China. Mathematics 13 Journal of the Operations Research Society of China 12 Engineering Analysis with Boundary Elements 12 Abstract and Applied Analysis 12 Journal of Systems Science and Complexity 12 Inverse Problems in Science and Engineering 11 Optimal Control Applications & Methods 11 Operations Research Letters 11 Acta Mathematicae Applicatae Sinica. English Series 11 Mathematical and Computer Modelling 11 Numerical Linear Algebra with Applications 10 Journal of Approximation Theory 10 Circuits, Systems, and Signal Processing 10 Communications in Statistics. Simulation and Computation 10 Journal of Mathematical Imaging and Vision 10 Archives of Computational Methods in Engineering 10 Structural and Multidisciplinary Optimization 9 International Journal for Numerical Methods in Fluids 9 Information Sciences 9 Journal of Econometrics 9 Journal of Statistical Planning and Inference 9 Applied Mathematics Letters 9 Machine Learning 9 Advances in Computational Mathematics 9 European Journal of Control 9 Journal of Machine Learning Research (JMLR) 8 International Journal of Robust and Nonlinear Control 8 The ANZIAM Journal 8 Set-Valued and Variational Analysis 8 Statistics and Computing 8 Numerical Algebra, Control and Optimization 8 EURO Journal on Computational Optimization 8 Nonlinear Analysis. Theory, Methods & Applications 7 Bulletin of Mathematical Biology 7 Annals of the Institute of Statistical Mathematics 7 Meccanica 7 Journal of Information & Optimization Sciences 7 Physica D 7 Neural Networks 7 Computational Statistics 7 SIAM Review ...and 355 more Serials all top 5 Cited in 51 Fields 2,653 Operations research, mathematical programming (90-XX) 2,051 Numerical analysis (65-XX) 635 Calculus of variations and optimal control; optimization (49-XX) 334 Statistics (62-XX) 283 Systems theory; control (93-XX) 238 Computer science (68-XX) 226 Mechanics of deformable solids (74-XX) 122 Fluid mechanics (76-XX) 112 Partial differential equations (35-XX) 110 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 102 Biology and other natural sciences (92-XX) 98 Linear and multilinear algebra; matrix theory (15-XX) 84 Information and communication theory, circuits (94-XX) 63 Approximations and expansions (41-XX) 43 Probability theory and stochastic processes (60-XX) 43 Geophysics (86-XX) 40 Mechanics of particles and systems (70-XX) 39 Classical thermodynamics, heat transfer (80-XX) 33 Operator theory (47-XX) 33 Statistical mechanics, structure of matter (82-XX) 32 Ordinary differential equations (34-XX) 32 Quantum theory (81-XX) 31 Dynamical systems and ergodic theory (37-XX) 22 Optics, electromagnetic theory (78-XX) 20 Real functions (26-XX) 15 Integral equations (45-XX) 14 Global analysis, analysis on manifolds (58-XX) 10 Convex and discrete geometry (52-XX) 9 Combinatorics (05-XX) 8 Measure and integration (28-XX) 8 Functional analysis (46-XX) 7 Differential geometry (53-XX) 6 General and overarching topics; collections (00-XX) 6 Functions of a complex variable (30-XX) 5 Integral transforms, operational calculus (44-XX) 5 Geometry (51-XX) 4 Harmonic analysis on Euclidean spaces (42-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 Manifolds and cell complexes (57-XX) 2 Nonassociative rings and algebras (17-XX) 2 General topology (54-XX) 2 Astronomy and astrophysics (85-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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