Edit Profile Powell, Michael James David Compute Distance To: Compute Author ID: powell.m-j-d Published as: Powell, M. J.; Powell, M. J. D; Powell, M. J. D.; Powell, Michael External Links: MGP · Wikidata · GND Documents Indexed: 149 Publications since 1962, including 5 Books Biographic References: 8 Publications all top 5 Co-Authors 106 single-authored 5 Beatson, Rick K. 3 Curtis, A. Robert 3 Demetriou, Ioannis C. 3 Faul, Anita C. 3 Yuan, Ya-xiang 2 Barrodale, Ian 2 Chamberlain, R. M. 2 Fletcher, Roger 2 Goodsell, George 2 Iserles, Arieh 2 Reid, John 2 Roberts, F. D. K. 2 Toint, Philippe L. 1 Ames, Aaron D. 1 Brodlie, Kenneth W. 1 Buhmann, Martin Dietrich 1 Cheney, Elliott Ward jun. 1 Cullinan, Michael P. 1 Gaffney, Patrick W. 1 Ge, Renpu 1 Havie, Tore 1 Hopper, M. J. 1 Jacobson, David Harris 1 Lemaréchal, Claude 1 Martin, Duncan H. 1 Nørsett, Syvert Paul 1 Pedersen, H. C. 1 Sabin, Malcolm A. 1 Scholtes, Sebastian 1 Swann, Julie L. 1 Tan, Aimei 1 Zhao, Haitong all top 5 Serials 13 Mathematical Programming 12 IMA Journal of Numerical Analysis 9 The Computer Journal. Section A / Section B 9 Mathematical Programming. Series A. Series B 5 Journal of the Institute of Mathematics and its Applications 3 SIAM Journal on Numerical Analysis 3 Optimization Methods & Software 2 ACM Transactions on Mathematical Software 2 Mathematical Programming Study 2 Constructive Approximation 2 Linear Algebra and its Applications 2 SIAM Review 2 Computational Optimization and Applications 1 Mathematics of Computation 1 Journal of Approximation Theory 1 Numerische Mathematik 1 Optimal Control Applications & Methods 1 Numerical Algorithms 1 Bulletin. The Institute of Mathematics and its Applications 1 SIAM Journal on Optimization 1 Annals of Numerical Mathematics 1 Advances in Computational Mathematics 1 Foundations of Computational Mathematics 1 HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science 1 Bollettino della Unione Matematica Italiana. Series IV 1 Mathematical Programming Computation 1 IFIP, International Federation for Information Processing all top 5 Fields 98 Numerical analysis (65-XX) 77 Operations research, mathematical programming (90-XX) 33 Approximations and expansions (41-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Systems theory; control (93-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 131 Publications have been cited 3,975 times in 3,038 Documents Cited by ▼ Year ▼ A rapidly convergent descent method for minimization. Zbl 0132.11603Fletcher, R.; Powell, M. J. D. 417 1963 An efficient method for finding the minimum of a function of several variables without calculating derivatives. Zbl 0132.11702Powell, M. J. D. 216 1964 Approximation theory and methods. Zbl 0453.41001Powell, M. J. D. 181 1981 The theory of radial basis function approximation in 1990. Zbl 0787.65005Powell, M. J. D. 180 1992 A method for nonlinear constraints in minimization problems. Zbl 0194.47701Powell, M. J. D. 168 1969 Piecewise quadratic approximations on triangles. Zbl 0375.41010Powell, M. J. D.; Sabin, M. A. 165 1977 A fast algorithm for nonlinearly constrained optimization calculations. Zbl 0374.65032Powell, M. J. D. 147 1978 Restart procedures for the conjugate gradient method. Zbl 0396.90072Powell, M. J. D. 140 1977 Some global convergence properties of a variable metric algorithm for minimization without exact line searches. Zbl 0338.65038Powell, M. J. D. 104 1976 The watchdog technique for forcing convergence in algorithms for constrained optimization. Zbl 0477.90072Chamberlain, R. M.; Powell, M. J. D.; Lemarechal, C.; Pedersen, H. C. 92 1982 Nonconvex minimization calculations and the conjugate gradient method. Zbl 0531.65035Powell, M. J. D. 81 1984 A trust region algorithm for equality constrained optimization. Zbl 0816.90121Powell, M. J. D.; Yuan, Yaxiang 77 1990 On the global convergence of trust region algorithms for unconstrained minimization. Zbl 0569.90069Powell, M. J. D. 74 1984 A new algorithm for unconstrained optimization. Zbl 0228.90043Powell, M. J. D. 70 1970 The convergence of variable metric methods for nonlinearly constrained optimization calculations. Zbl 0464.65042Powell, M. J. D. 68 1978 A hybrid method for nonlinear equations. Zbl 0277.65028Powell, M. J. D. 68 1970 Algorithms for nonlinear constraints that use Lagrangian functions. Zbl 0383.90092Powell, M. J. D. 67 1978 On the estimation of sparse Jacobian matrices. Zbl 0273.65036Curtis, A. R.; Powell, M. J. D.; Reid, J. K. 67 1974 Radial basis functions for multivariable interpolation: a review. Zbl 0638.41001Powell, M. J. D. 64 1987 UOBYQA: unconstrained optimization by quadratic approximation. Zbl 1014.65050Powell, M. J. D. 63 2002 Convergence properties of a class of minimization algorithms. Zbl 0321.90045Powell, M. J. D. 60 1975 Univariate multiquadric approximation: Quasi-interpolation to scattered data. Zbl 0763.41012Beatson, R. K.; Powell, M. J. D. 58 1992 A direct search optimization method that models the objective and constraint functions by linear interpolation. Zbl 0826.90108Powell, M. J. D. 57 1994 On the convergence of the variable metric algorithm. Zbl 0217.52804Powell, M. J. D. 56 1971 The NEWUOA software for unconstrained optimization without derivatives. Zbl 1108.90005Powell, M. J. D. 52 2006 Convergence properties of algorithms for nonlinear optimization. Zbl 0624.90091Powell, M. J. D. 51 1986 On search directions for minimization algorithms. Zbl 0258.90043Powell, M. J. D. 43 1973 A recursive quadratic programming algorithm that uses differentiable exact penalty functions. Zbl 0598.90079Powell, M. J. D.; Yuan, Yaxiang 41 1986 The differential correction algorithm for rational \(l_\infty\)- approximation. Zbl 0251.65008Barrodale, I.; Powell, M. J. D.; Roberts, F. D. K. 40 1972 An iterative method for finding stationary values of a function of several variables. Zbl 0104.34303Powell, M. J. D. 40 1962 The uniform convergence of thin plate spline interpolation in two dimensions. Zbl 0812.41005Powell, M. J. D. 39 1994 A Fortran subroutine for solving systems of nonlinear algebraic equations. Zbl 0245.65024Powell, M. J. D. 38 1970 Direct search algorithms for optimization calculations. Zbl 0911.65050Powell, M. J. D. 37 1998 On the maximum errors of polynomial approximations defined by interpolation and by least squares criteria. Zbl 0147.14305Powell, M. J. D. 32 1967 Developments of NEWUOA for minimization without derivatives. Zbl 1154.65049Powell, M. J. D. 30 2008 On the estimation of sparse Hessian matrices. Zbl 0426.65025Powell, M. J. D.; Toint, Ph. L. 30 1979 A method for minimizing a sum of squares of non-linear functions without calculating derivatives. Zbl 0142.11601Powell, M. J. D. 29 1965 Least Frobenius norm updating of quadratic models that satisfy interpolation conditions. Zbl 1146.90526Powell, M. J. D. 28 2004 How bad are the BFGS and DFP methods when the objective function is quadratic? Zbl 0581.90068Powell, M. J. D. 27 1986 Variable metric methods for constrained optimization. Zbl 0536.90076Powell, M. J. D. 27 1983 A review of methods for multivariable interpolation at scattered data points. Zbl 0881.65003Powell, M. J. D. 25 1997 On the quadratic programming algorithm of Goldfarb and Idnani. Zbl 0584.90069Powell, M. J. D. 22 1985 On the modification of LDL\(^T\) factorizations. Zbl 0293.65018Fletcher, R.; Powell, M. J. D. 22 1974 On trust region methods for unconstrained minimization without derivatives. Zbl 1106.90382Powell, M. J. D. 21 2003 A tolerant algorithm for linearly constrained optimization calculations. Zbl 0695.90084Powell, M. J. D. 20 1989 Some convergence properties of the conjugate gradient method. Zbl 0356.65056Powell, M. J. D. 20 1976 Variable metric methods for constrained optimization. Zbl 0413.90065Powell, M. J. D. 19 1979 Recent advances in unconstrained optimization. Zbl 0228.90042Powell, M. J. D. 19 1971 Radial basis function methods for interpolation to functions of many variables. Zbl 1026.65009Powell, M. J. D. 15 2002 Recent research at Cambridge on radial basis functions. Zbl 0958.41501Powell, M. J. D. 15 1999 Updating conjugate directions by the BFGS formula. Zbl 0642.90086Powell, M. J. D 15 1987 A note on quasi-Newton formulae for sparse second derivative matrices. Zbl 0453.90081Powell, M. J. D. 15 1981 A survey of numerical methods for unconstrained optimization. Zbl 0193.13801Powell, M. J. D. 15 1970 Radial basis function interpolation on an infinite regular grid. Zbl 0749.41002Buhmann, M. D.; Powell, M. J. D. 14 1990 Quadratic termination properties of minimization algorithms. I: Statement and discussion of results. II: Proofs of theorems. Zbl 0254.65047Powell, M. J. D. 14 1972 On the convergence of trust region algorithms for unconstrained minimization without derivatives. Zbl 1284.90096Powell, M. J. D. 13 2012 Some properties of the variable metric algorithm. Zbl 0288.65036Powell, M. J. D. 12 1972 A view of unconstrained minimization algorithms that do not require derivatives. Zbl 0303.65059Powell, M. J. D. 11 1975 A ‘taut-string algorithm’ for straightening a piecewise linear path in two dimensions. Zbl 0908.65007Powell, M. J. D. 10 1998 Least squares smoothing of univariate data to achieve piecewise monotonicity. Zbl 0726.65008Demetriou, I. C.; Powell, M. J. D. 10 1991 Rank one methods for unconstrained optimization. Zbl 0334.90052Powell, M. J. D. 10 1970 General algorithms for discrete nonlinear approximation calculations. Zbl 0545.65047Powell, M. J. D. 9 1983 The convergence of variable metric matrices in unconstrained optimization. Zbl 0532.49015Ge, Renpu; Powell, M. J. D. 9 1983 On a decomposition of conditionally positive-semidefinite matrices. Zbl 0492.15009Martin, D. H.; Powell, M. J. D.; Jacobson, D. H. 9 1981 On the A-acceptability of rational approximations that interpolate the exponential function. Zbl 0472.41013Iserles, A.; Powell, M. J. D. 9 1981 Optimal interpolation. Zbl 0317.65002Gaffney, P. W.; Powell, M. J. D. 9 1976 Unconstrained minimization algorithms without computation of derivatives. Zbl 0324.65030Powell, M. J. D. 9 1974 On applying Householder transformations to linear least squares problems. Zbl 0194.47002Powell, M. J. D.; Reid, J. K. 9 1969 A Krylov subspace algorithm for multiquadric interpolation in many dimensions. Zbl 1070.65006Faul, A. C.; Goodsell, G.; Powell, M. J. D. 8 2005 On the use of quadratic models in unconstrained minimization without derivatives. Zbl 1140.90513Powell, M. J. D. 8 2004 Proof of convergence of an iterative technique for thin plate spline interpolation in two dimensions. Zbl 0944.65015Faul, A. C.; Powell, M. J. D. 8 1999 Univariate multiquadric interpolation: Some recent results. Zbl 0753.41003Powell, M. J. D. 8 1991 Univariate multiquadric approximation: Reproduction of linear polynomials. Zbl 0707.41008Powell, M. J. D. 8 1990 Variable metric methods for constrained optimization. Zbl 0453.90079Powell, M. J. D. 8 1980 The minimum sum of squares change to univariate data that gives convexity. Zbl 0726.65009Demetriou, I. C.; Powell, M. J. D. 7 1991 A technique that gains speed and accuracy in the minimax solution of overdetermined linear equations. Zbl 0407.68028Hopper, M. J.; Powell, M. J. D. 7 1977 Quadratic termination properties of Davidon’s new variable metric algorithm. Zbl 0399.90085Powell, M. J. D. 7 1977 Weighted uniform sampling - a Monte Carlo technique for reducing variance. Zbl 0144.42001Powell, M. J. D.; Swann, J. 7 1966 On fast trust region methods for quadratic models with linear constraints. Zbl 1325.65084Powell, M. J. D. 6 2015 Fast evaluation of polyharmonic splines in three dimensions. Zbl 1127.65011Beatson, R. K.; Powell, M. J. D.; Tan, A. M. 6 2007 Krylov subspace methods for radial basis function interpolation. Zbl 0952.65012Faul, A. C.; Powell, M. J. D. 6 2000 Some algorithms for thin plate spline interpolation to functions of two variables. Zbl 0839.65004Powell, M. J. D. 6 1994 Truncated Laurent expansions for the fast evaluation of thin plate splines. Zbl 0790.65010Powell, M. J. D. 6 1993 Tabulation of thin plate splines on a very fine two-dimensional grid. Zbl 0813.65014Powell, M. J. D. 6 1992 Karmarkar’s algorithm: A view from nonlinear programming. Zbl 0711.90052Powell, M. J. D. 6 1990 An algorithm for maximizing entropy subject to simple bounds. Zbl 0649.90086Powell, M. J. D. 6 1988 On error growth in the Bartels-Golub and Fletcher-Matthews algorithms for updating matrix factorizations. Zbl 0633.65052Powell, M. J. D. 6 1987 Data smoothing by divided differences. Zbl 0497.65005Cullinan, M. P.; Powell, M. J. D. 6 1982 On best \(L_ 2\) spline approximations. Zbl 0176.14102Powell, M. J. D. 6 1968 On the Lagrange functions of quadratic models that are defined by interpolation. Zbl 1027.90091Powell, M. J. D. 5 2001 On the convergence of the DFP algorithm for unconstrained optimization when there are only two variables. Zbl 0964.65068Powell, M. J. D. 5 2000 A review of algorithms for thin plate spline interpolation in two dimensions. Zbl 1273.65019Powell, M. J. D. 5 1996 Radial basis function approximations to polynomials. Zbl 0687.41004Powell, M. J. D. 5 1988 The local dependence of least squares cubic splines. Zbl 0183.44104Powell, M. J. D. 5 1969 Beyond symmetric Broyden for updating quadratic models in minimization without derivatives. Zbl 1266.65095Powell, M. J. D. 4 2013 Radial basis function methods for interpolation to functions of many variables. Zbl 1048.65502Powell, M. J. D. 4 2002 A new iterative algorithm for thin plate spline interpolation in two dimensions. Zbl 0885.65012Powell, M. J. D. 4 1997 On the number of iterations of Karmarkar’s algorithm for linear programming. Zbl 0804.90092Powell, M. J. D. 4 1993 The differential correction algorithm for generalized rational functions. Zbl 0635.65013Cheney, E. W.; Powell, M. J. D. 4 1987 The performance of two subroutines for constrained optimization on some difficult test problems. Zbl 0575.65065Powell, M. J. D. 4 1985 On fast trust region methods for quadratic models with linear constraints. Zbl 1325.65084Powell, M. J. D. 6 2015 Human-inspired motion primitives and transitions for bipedal robotic locomotion in diverse terrain. Zbl 1305.93149Zhao, H.; Powell, M. J.; Ames, A. D. 1 2014 The Lagrange method and SAO with bounds on the dual variables. Zbl 1285.90067Powell, M. J. D. 1 2014 Beyond symmetric Broyden for updating quadratic models in minimization without derivatives. Zbl 1266.65095Powell, M. J. D. 4 2013 On the convergence of trust region algorithms for unconstrained minimization without derivatives. Zbl 1284.90096Powell, M. J. D. 13 2012 On nonlinear optimization since 1959. Zbl 1192.65084Powell, M. J. D. 3 2010 On the convergence of a wide range of trust region methods for unconstrained optimization. Zbl 1187.65069Powell, M. J. D. 1 2010 Developments of NEWUOA for minimization without derivatives. Zbl 1154.65049Powell, M. J. D. 30 2008 Fast evaluation of polyharmonic splines in three dimensions. Zbl 1127.65011Beatson, R. K.; Powell, M. J. D.; Tan, A. M. 6 2007 The NEWUOA software for unconstrained optimization without derivatives. Zbl 1108.90005Powell, M. J. D. 52 2006 A Krylov subspace algorithm for multiquadric interpolation in many dimensions. Zbl 1070.65006Faul, A. C.; Goodsell, G.; Powell, M. J. D. 8 2005 Least Frobenius norm updating of quadratic models that satisfy interpolation conditions. Zbl 1146.90526Powell, M. J. D. 28 2004 On the use of quadratic models in unconstrained minimization without derivatives. Zbl 1140.90513Powell, M. J. D. 8 2004 On trust region methods for unconstrained minimization without derivatives. Zbl 1106.90382Powell, M. J. D. 21 2003 UOBYQA: unconstrained optimization by quadratic approximation. Zbl 1014.65050Powell, M. J. D. 63 2002 Radial basis function methods for interpolation to functions of many variables. Zbl 1026.65009Powell, M. J. D. 15 2002 Radial basis function methods for interpolation to functions of many variables. Zbl 1048.65502Powell, M. J. D. 4 2002 On the Lagrange functions of quadratic models that are defined by interpolation. Zbl 1027.90091Powell, M. J. D. 5 2001 Krylov subspace methods for radial basis function interpolation. Zbl 0952.65012Faul, A. C.; Powell, M. J. D. 6 2000 On the convergence of the DFP algorithm for unconstrained optimization when there are only two variables. Zbl 0964.65068Powell, M. J. D. 5 2000 Recent research at Cambridge on radial basis functions. Zbl 0958.41501Powell, M. J. D. 15 1999 Proof of convergence of an iterative technique for thin plate spline interpolation in two dimensions. Zbl 0944.65015Faul, A. C.; Powell, M. J. D. 8 1999 Direct search algorithms for optimization calculations. Zbl 0911.65050Powell, M. J. D. 37 1998 A ‘taut-string algorithm’ for straightening a piecewise linear path in two dimensions. Zbl 0908.65007Powell, M. J. D. 10 1998 The use of band matrices for second derivative approximations in trust region algorithms. Zbl 0908.90241Powell, M. J. D. 1 1998 Trust region calculations revisited. Zbl 0903.65052Powell, M. J. D. 1 1998 A review of methods for multivariable interpolation at scattered data points. Zbl 0881.65003Powell, M. J. D. 25 1997 A new iterative algorithm for thin plate spline interpolation in two dimensions. Zbl 0885.65012Powell, M. J. D. 4 1997 Least squares fitting to univariate data subject to restrictions on the signs of the second differences. Zbl 1031.65027Demetriou, I. C.; Powell, M. J. D. 2 1997 A review of algorithms for thin plate spline interpolation in two dimensions. Zbl 1273.65019Powell, M. J. D. 5 1996 On multigrid techniques for thin plate spline interpolation in two dimensions. Zbl 0862.41007Beatson, R. K.; Goodsell, G.; Powell, M. J. D. 3 1996 A thin plate spline method for mapping curves into curves in two dimensions. Zbl 0911.65011Powell, M. J. D. 1 1996 Some convergence properties of the modified log barrier method for linear programming. Zbl 0841.65046Powell, M. J. D. 3 1995 A direct search optimization method that models the objective and constraint functions by linear interpolation. Zbl 0826.90108Powell, M. J. D. 57 1994 The uniform convergence of thin plate spline interpolation in two dimensions. Zbl 0812.41005Powell, M. J. D. 39 1994 Some algorithms for thin plate spline interpolation to functions of two variables. Zbl 0839.65004Powell, M. J. D. 6 1994 An iterative method for thin plate spline interpolation that employs approximations to Lagrange functions. Zbl 0795.65004Beatson, R. K.; Powell, M. J. D. 3 1994 Truncated Laurent expansions for the fast evaluation of thin plate splines. Zbl 0790.65010Powell, M. J. D. 6 1993 On the number of iterations of Karmarkar’s algorithm for linear programming. Zbl 0804.90092Powell, M. J. D. 4 1993 Log barrier methods for semi-infinite programming calculations. Zbl 0801.65062Powell, M. J. D. 1 1993 The theory of radial basis function approximation in 1990. Zbl 0787.65005Powell, M. J. D. 180 1992 Univariate multiquadric approximation: Quasi-interpolation to scattered data. Zbl 0763.41012Beatson, R. K.; Powell, M. J. D. 58 1992 Tabulation of thin plate splines on a very fine two-dimensional grid. Zbl 0813.65014Powell, M. J. D. 6 1992 Log barrier methods for semi-infinite programming calculations. Zbl 0814.90117Powell, M. J. D. 2 1992 The complexity of Karmarkar’s algorithm for linear programming. Zbl 0809.65056Powell, M. J. D. 2 1992 Univariate interpolation on a regular finite grid by a multiquadric plus a linear polynomial. Zbl 0751.65005Beatson, R. K.; Powell, M. J. D. 1 1992 Least squares smoothing of univariate data to achieve piecewise monotonicity. Zbl 0726.65008Demetriou, I. C.; Powell, M. J. D. 10 1991 Univariate multiquadric interpolation: Some recent results. Zbl 0753.41003Powell, M. J. D. 8 1991 The minimum sum of squares change to univariate data that gives convexity. Zbl 0726.65009Demetriou, I. C.; Powell, M. J. D. 7 1991 A trust region algorithm for equality constrained optimization. Zbl 0816.90121Powell, M. J. D.; Yuan, Yaxiang 77 1990 Radial basis function interpolation on an infinite regular grid. Zbl 0749.41002Buhmann, M. D.; Powell, M. J. D. 14 1990 Univariate multiquadric approximation: Reproduction of linear polynomials. Zbl 0707.41008Powell, M. J. D. 8 1990 Karmarkar’s algorithm: A view from nonlinear programming. Zbl 0711.90052Powell, M. J. D. 6 1990 A tolerant algorithm for linearly constrained optimization calculations. Zbl 0695.90084Powell, M. J. D. 20 1989 An algorithm for maximizing entropy subject to simple bounds. Zbl 0649.90086Powell, M. J. D. 6 1988 Radial basis function approximations to polynomials. Zbl 0687.41004Powell, M. J. D. 5 1988 A review of algorithms for nonlinear equations and unconstrained optimization. Zbl 0665.65054Powell, M. J. D. 3 1988 QR factorization for linear least-squares problems on a hypercube multiprocessor. Zbl 0662.65033Chamberlain, R. M.; Powell, M. J. D. 1 1988 Radial basis function approximations to polynomials. Zbl 0652.41002Powell, M. J. D. 1 1988 Radial basis functions for multivariable interpolation: a review. Zbl 0638.41001Powell, M. J. D. 64 1987 Updating conjugate directions by the BFGS formula. Zbl 0642.90086Powell, M. J. D 15 1987 On error growth in the Bartels-Golub and Fletcher-Matthews algorithms for updating matrix factorizations. Zbl 0633.65052Powell, M. J. D. 6 1987 The differential correction algorithm for generalized rational functions. Zbl 0635.65013Cheney, E. W.; Powell, M. J. D. 4 1987 Methods for nonlinear constraints in optimization calculations. Zbl 0624.90093Powell, M. J. D. 1 1987 The state of the art in numerical analysis. Proceedings of the Joint IMA- SIAM Conference on the State of the Art in Numerical Analysis held at the University of Birmingham (England), April 14-18, 1986. Zbl 0611.00024Iserles, A. (ed.); Powell, M. J. D. (ed.) 1 1987 Convergence properties of algorithms for nonlinear optimization. Zbl 0624.90091Powell, M. J. D. 51 1986 A recursive quadratic programming algorithm that uses differentiable exact penalty functions. Zbl 0598.90079Powell, M. J. D.; Yuan, Yaxiang 41 1986 How bad are the BFGS and DFP methods when the objective function is quadratic? Zbl 0581.90068Powell, M. J. D. 27 1986 On the quadratic programming algorithm of Goldfarb and Idnani. Zbl 0584.90069Powell, M. J. D. 22 1985 The performance of two subroutines for constrained optimization on some difficult test problems. Zbl 0575.65065Powell, M. J. D. 4 1985 Nonconvex minimization calculations and the conjugate gradient method. Zbl 0531.65035Powell, M. J. D. 81 1984 On the global convergence of trust region algorithms for unconstrained minimization. Zbl 0569.90069Powell, M. J. D. 74 1984 Conditions for superlinear convergence in \(\ell_ 1\) and \(\ell_{\infty}\) solutions of overdetermined non-linear equations. Zbl 0546.65031Powell, M. J. D.; Yuan, Yaxiang 4 1984 Variable metric methods for constrained optimization. Zbl 0536.90076Powell, M. J. D. 27 1983 General algorithms for discrete nonlinear approximation calculations. Zbl 0545.65047Powell, M. J. D. 9 1983 The convergence of variable metric matrices in unconstrained optimization. Zbl 0532.49015Ge, Renpu; Powell, M. J. D. 9 1983 The watchdog technique for forcing convergence in algorithms for constrained optimization. Zbl 0477.90072Chamberlain, R. M.; Powell, M. J. D.; Lemarechal, C.; Pedersen, H. C. 92 1982 Data smoothing by divided differences. Zbl 0497.65005Cullinan, M. P.; Powell, M. J. D. 6 1982 Nonlinear optimization 1981. (Proceedings of the NATO Advanced Research Institute held at Cambridge in July 1981, sponsored by the Special Programme Panel on Systems Science of the NATO Science Committee and the Mathematical Programming Society). Zbl 0541.00004Powell, M. J. D. (ed.) 2 1982 Approximation theory and methods. Zbl 0453.41001Powell, M. J. D. 181 1981 A note on quasi-Newton formulae for sparse second derivative matrices. Zbl 0453.90081Powell, M. J. D. 15 1981 On a decomposition of conditionally positive-semidefinite matrices. Zbl 0492.15009Martin, D. H.; Powell, M. J. D.; Jacobson, D. H. 9 1981 On the A-acceptability of rational approximations that interpolate the exponential function. Zbl 0472.41013Iserles, A.; Powell, M. J. D. 9 1981 The Shanno-Toint procedure for updating sparse symmetric matrices. Zbl 0482.65034Powell, M. J. D.; Toint, Ph. L. 3 1981 An example of cycling in a feasible point algorithm. Zbl 0462.90062Powell, M. J. D. 3 1981 An upper triangular matrix method for quadratic programming. Zbl 0533.49025Powell, M. J. D. 1 1981 Variable metric methods for constrained optimization. Zbl 0453.90079Powell, M. J. D. 8 1980 Gradient conditions and Lagrange multipliers in nonlinear programming. Zbl 0453.90080Powell, M. J. D. 2 1980 On the estimation of sparse Hessian matrices. Zbl 0426.65025Powell, M. J. D.; Toint, Ph. L. 30 1979 Variable metric methods for constrained optimization. Zbl 0413.90065Powell, M. J. D. 19 1979 A fast algorithm for nonlinearly constrained optimization calculations. Zbl 0374.65032Powell, M. J. D. 147 1978 The convergence of variable metric methods for nonlinearly constrained optimization calculations. Zbl 0464.65042Powell, M. J. D. 68 1978 Algorithms for nonlinear constraints that use Lagrangian functions. Zbl 0383.90092Powell, M. J. D. 67 1978 Piecewise quadratic approximations on triangles. Zbl 0375.41010Powell, M. J. D.; Sabin, M. A. 165 1977 Restart procedures for the conjugate gradient method. Zbl 0396.90072Powell, M. J. D. 140 1977 A technique that gains speed and accuracy in the minimax solution of overdetermined linear equations. Zbl 0407.68028Hopper, M. J.; Powell, M. J. D. 7 1977 Quadratic termination properties of Davidon’s new variable metric algorithm. Zbl 0399.90085Powell, M. J. D. 7 1977 Some global convergence properties of a variable metric algorithm for minimization without exact line searches. Zbl 0338.65038Powell, M. J. D. 104 1976 Some convergence properties of the conjugate gradient method. Zbl 0356.65056Powell, M. J. D. 20 1976 Optimal interpolation. Zbl 0317.65002Gaffney, P. W.; Powell, M. J. D. 9 1976 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,148 Authors 30 Wei, Zengxin 29 Jian, Jinbao 27 Wu, Zongmin 27 Zhu, Detong 23 Toint, Philippe L. 22 Yuan, Gonglin 22 Yuan, Ya-xiang 20 Martínez, José Mario 20 Powell, Michael James David 19 Lukšan, Ladislav 19 Speleers, Hendrik 18 Andrei, Neculai 17 Pu, Dingguo 16 Sun, Wenyu 13 Hon, Yiu-Chung 12 Buhmann, Martin Dietrich 12 Conn, Andrew Roger 12 Dai, Yu-Hong 12 Dierckx, Paul 12 Li, Donghui 11 Al-Baali, Mehiddin 11 Babaie-Kafaki, Saman 11 Fortes, Miguel Angel 11 Goldfarb, Donald 11 Grippo, Luigi 11 Zalmai, G. J. 10 Byrd, Richard H. 10 Demetriou, Ioannis C. 10 Fletcher, Roger 10 Gao, Wenwu 10 Nocedal, Jorge 10 Qi, Liqun 10 Rustem, Berc 10 Storey, Colin 10 Wang, Changyu 9 Amini, Keyvan 9 Bultheel, Adhemar François 9 Coleman, Thomas F. 9 Fornberg, Bengt 9 Gill, Philip E. 9 Kazem, Saeed 9 Lucidi, Stefano 9 Pasadas, Miguel 9 Power, Henry 9 Qu, Shaojian 9 Schaback, Robert 9 Shanno, David F. 9 Shen, Chungen 9 Vandewalle, Stefan G. 9 Zhang, Kecun 9 Zhang, Shangyou 8 Ahookhosh, Masoud 8 Birgin, Ernesto G. 8 DeSarbo, Wayne S. 8 Grošelj, Jan 8 Hossain, Shahadat 8 Iserles, Arieh 8 Karas, Elizabeth W. 8 Levesley, Jeremy 8 Li, Guoyin 8 Polak, Elijah (Lucien) 8 Sablonnière, Paul 8 Sbibih, Driss 8 Shoemaker, Christine A. 8 Su, Ke 8 Tang, Chunming 8 Tijini, Ahmed 8 Tsoulos, Ioannis G. 8 Wang, Renhong 8 Yoon, Jungho 8 Zhang, Liwei 8 Zhu, Zhibin 7 Bandler, John W. 7 Burke, James V. 7 de Sampaio, Raimundo J. B. 7 Diehl, Moritz Mathias 7 Lewis, Adrian S. 7 Maes, Jan 7 Ni, Qin 7 Peyghami, Mohammad Reza 7 Pintelas, Panagiotis E. 7 Rad, Jamal Amani 7 Regis, Rommel G. 7 Scheinberg, Katya 7 Sciandrone, Marco 7 Serghini, Abdelhafid 7 Shi, Zhenjun 7 Sirisena, Harsha R. 7 Sorokina, Tatyana 7 Spedicato, Emilio 7 Steihaug, Trond 7 Stoer, Josef 7 Taylor, Gerald D. 7 Wang, Fusheng 7 Wu, Fang 7 Yu, Zhensheng 7 Yuan, Jinyun 7 Zhang, Jianzhong 6 Bartholomew-Biggs, Michael C. 6 Coope, Ian D. ...and 4,048 more Authors all top 5 Cited in 340 Serials 215 Journal of Optimization Theory and Applications 201 Journal of Computational and Applied Mathematics 161 Applied Mathematics and Computation 109 Mathematical Programming 103 Mathematical Programming. Series A. Series B 95 Computers & Mathematics with Applications 73 Optimization Methods & Software 70 Computational Optimization and Applications 66 Computer Methods in Applied Mechanics and Engineering 60 Mathematics of Computation 60 Numerical Algorithms 57 Engineering Analysis with Boundary Elements 55 European Journal of Operational Research 49 Journal of Approximation Theory 49 Numerische Mathematik 46 Optimization 46 Journal of Global Optimization 43 Applied Numerical Mathematics 40 Journal of Computational Physics 37 Automatica 35 International Journal for Numerical Methods in Engineering 34 Applied Mathematical Modelling 33 Computer Aided Geometric Design 27 Journal of Econometrics 26 Computing 26 SIAM Journal on Optimization 25 Journal of Mathematical Analysis and Applications 24 Journal of the Franklin Institute 24 Numerical Functional Analysis and Optimization 23 BIT 22 Constructive Approximation 21 International Journal of Control 21 International Journal of Systems Science 21 Computers & Operations Research 21 Advances in Computational Mathematics 20 Acta Mathematicae Applicatae Sinica. English Series 20 Annals of Operations Research 20 Linear Algebra and its Applications 20 Optimization Letters 19 Calcolo 18 Psychometrika 18 Mathematical and Computer Modelling 17 Journal of Applied Mathematics and Computing 16 Journal of Scientific Computing 16 Computational Statistics and Data Analysis 15 Journal of Statistical Computation and Simulation 15 Applied Mathematics. Series B (English Edition) 14 Kybernetika 14 Mathematics and Computers in Simulation 14 Mathematical Problems in Engineering 13 International Journal of Computer Mathematics 12 Applied Mathematics Letters 11 Information Sciences 11 Optimal Control Applications & Methods 11 Physica D 11 Optimization and Engineering 10 Computational and Applied Mathematics 10 Journal of Applied Mathematics 9 Computer Physics Communications 9 Mathematical Biosciences 9 Systems & Control Letters 9 Computational Mechanics 9 SIAM Journal on Scientific Computing 9 Mathematical Programming Computation 8 Computers and Fluids 8 Aplikace Matematiky 8 Acta Mathematica Sinica. English Series 7 Circuits, Systems, and Signal Processing 7 Journal of Mathematical Sciences (New York) 7 Abstract and Applied Analysis 7 Journal of Inequalities and Applications 7 Structural and Multidisciplinary Optimization 7 International Journal of Control, I. Series 6 Journal of the Mechanics and Physics of Solids 6 Applied Mathematics and Optimization 6 Fuzzy Sets and Systems 6 Neural Networks 6 Archives of Computational Methods in Engineering 6 Journal of Systems Science and Complexity 6 Science China. Mathematics 6 Numerical Algebra, Control and Optimization 5 Applicable Analysis 5 Journal of Fluid Mechanics 5 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 5 Meccanica 5 Operations Research Letters 5 Journal of Classification 5 Communications in Statistics. Simulation and Computation 5 Communications in Statistics. Theory and Methods 5 Pattern Recognition 5 European Journal of Mechanics. A. Solids 5 Computational Geosciences 5 4OR 5 Journal of the Operations Research Society of China 4 International Journal of Mathematical Education in Science and Technology 4 Journal of Engineering Mathematics 4 Mathematical Methods in the Applied Sciences 4 Physics Letters. A 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Annals of the Institute of Statistical Mathematics ...and 240 more Serials all top 5 Cited in 56 Fields 1,652 Numerical analysis (65-XX) 1,503 Operations research, mathematical programming (90-XX) 368 Approximations and expansions (41-XX) 350 Calculus of variations and optimal control; optimization (49-XX) 194 Statistics (62-XX) 157 Systems theory; control (93-XX) 149 Mechanics of deformable solids (74-XX) 146 Computer science (68-XX) 144 Partial differential equations (35-XX) 112 Fluid mechanics (76-XX) 68 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 56 Biology and other natural sciences (92-XX) 42 Information and communication theory, circuits (94-XX) 38 Linear and multilinear algebra; matrix theory (15-XX) 33 Classical thermodynamics, heat transfer (80-XX) 28 Ordinary differential equations (34-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 27 Operator theory (47-XX) 26 Geophysics (86-XX) 24 Probability theory and stochastic processes (60-XX) 20 Mechanics of particles and systems (70-XX) 17 Integral equations (45-XX) 15 Real functions (26-XX) 15 Functions of a complex variable (30-XX) 15 Optics, electromagnetic theory (78-XX) 14 Combinatorics (05-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Special functions (33-XX) 12 Functional analysis (46-XX) 12 Quantum theory (81-XX) 8 Measure and integration (28-XX) 8 Convex and discrete geometry (52-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Integral transforms, operational calculus (44-XX) 6 Mathematical logic and foundations (03-XX) 6 Potential theory (31-XX) 5 General and overarching topics; collections (00-XX) 5 Differential geometry (53-XX) 5 General topology (54-XX) 4 Number theory (11-XX) 3 Geometry (51-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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