Edit Profile (opens in new tab) Powell, Michael James David Compute Distance To: Compute Author ID: powell.m-j-d Published as: Powell, M. J. D.; Powell, Michael; Powell, M. J. D; Powell, M. J. more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 147 Publications since 1962, including 3 Books 2 Contributions as Editor · 1 Further Contribution Biographic References: 10 Publications Co-Authors: 28 Co-Authors with 41 Joint Publications 572 Co-Co-Authors all top 5 Co-Authors 105 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 Drèze, Jacques H. 1 Durbin, James 1 Gaffney, Patrick W. 1 Ge, Renpu 1 Havie, Tore 1 Hazewinkel, Michiel 1 Hopper, M. J. 1 Jacobson, David Harris 1 Jorgenson, Dale W. 1 Kalman, Rudolf Emil 1 Konstantinov, Mikhail Mikhajlov 1 Lemaréchal, Claude 1 Nørsett, Syvert Paul 1 Pedersen, H. C. 1 Rinnooy Kan, Alexander Hendrik George 1 Sabin, Malcolm A. 1 Sims, Christopher Albert 1 Swann, J. 1 Theil, Henri 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 Games and Economic Behavior 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 Studii na BIAP. Matematicheski Nauki 1 Mathematical Programming Computation 1 IFIP, International Federation for Information Processing all top 5 Fields 98 Numerical analysis (65-XX) 78 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) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Systems theory; control (93-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 130 Publications have been cited 4,042 times in 3,146 Documents Cited by ▼ Year ▼ A rapidly convergent descent method for minimization. Zbl 0132.11603Fletcher, R.; Powell, M. J. D. 429 1963 An efficient method for finding the minimum of a function of several variables without calculating derivatives. Zbl 0132.11702Powell, M. J. D. 227 1964 Approximation theory and methods. Zbl 0453.41001Powell, M. J. D. 187 1981 Piecewise quadratic approximations on triangles. Zbl 0375.41010Powell, M. J. D.; Sabin, M. A. 183 1977 The theory of radial basis function approximation in 1990. Zbl 0787.65005Powell, M. J. D. 167 1992 Restart procedures for the conjugate gradient method. Zbl 0396.90072Powell, M. J. D. 150 1977 A method for nonlinear constraints in minimization problems. Zbl 0194.47701Powell, M. J. D. 146 1969 A fast algorithm for nonlinearly constrained optimization calculations. Zbl 0374.65032Powell, M. J. D. 131 1978 Some global convergence properties of a variable metric algorithm for minimization without exact line searches. Zbl 0338.65038Powell, M. J. D. 105 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. 95 1982 Nonconvex minimization calculations and the conjugate gradient method. Zbl 0531.65035Powell, M. J. D. 84 1984 A trust region algorithm for equality constrained optimization. Zbl 0816.90121Powell, M. J. D.; Yuan, Yaxiang 81 1990 On the global convergence of trust region algorithms for unconstrained minimization. Zbl 0569.90069Powell, M. J. D. 78 1984 Algorithms for nonlinear constraints that use Lagrangian functions. Zbl 0383.90092Powell, M. J. D. 71 1978 UOBYQA: unconstrained optimization by quadratic approximation. Zbl 1014.65050Powell, M. J. D. 70 2002 On the estimation of sparse Jacobian matrices. Zbl 0273.65036Curtis, A. R.; Powell, M. J. D.; Reid, J. K. 69 1974 A new algorithm for unconstrained optimization. Zbl 0228.90043Powell, M. J. D. 68 1970 A hybrid method for nonlinear equations. Zbl 0277.65028Powell, M. J. D. 68 1970 Univariate multiquadric approximation: Quasi-interpolation to scattered data. Zbl 0763.41012Beatson, R. K.; Powell, M. J. D. 65 1992 A direct search optimization method that models the objective and constraint functions by linear interpolation. Zbl 0826.90108Powell, M. J. D. 65 1994 The convergence of variable metric methods for nonlinearly constrained optimization calculations. Zbl 0464.65042Powell, M. J. D. 64 1978 The NEWUOA software for unconstrained optimization without derivatives. Zbl 1108.90005Powell, M. J. D. 63 2006 On the convergence of the variable metric algorithm. Zbl 0217.52804Powell, M. J. D. 62 1971 Convergence properties of algorithms for nonlinear optimization. Zbl 0624.90091Powell, M. J. D. 58 1986 Radial basis functions for multivariable interpolation: a review. Zbl 0638.41001Powell, M. J. D. 49 1987 On search directions for minimization algorithms. Zbl 0258.90043Powell, M. J. D. 49 1973 Direct search algorithms for optimization calculations. Zbl 0911.65050Powell, M. J. D. 46 1998 A recursive quadratic programming algorithm that uses differentiable exact penalty functions. Zbl 0598.90079Powell, M. J. D.; Yuan, Yaxiang 43 1986 The uniform convergence of thin plate spline interpolation in two dimensions. Zbl 0812.41005Powell, M. J. D. 43 1994 The differential correction algorithm for rational \(l_\infty\)- approximation. Zbl 0251.65008Barrodale, I.; Powell, M. J. D.; Roberts, F. D. K. 42 1972 Convergence properties of a class of minimization algorithms. Zbl 0321.90045Powell, M. J. D. 42 1975 An iterative method for finding stationary values of a function of several variables. Zbl 0104.34303Powell, M. J. D. 40 1962 A Fortran subroutine for solving systems of nonlinear algebraic equations. Zbl 0245.65024Powell, M. J. D. 38 1970 Developments of NEWUOA for minimization without derivatives. Zbl 1154.65049Powell, M. J. D. 35 2008 On the maximum errors of polynomial approximations defined by interpolation and by least squares criteria. Zbl 0147.14305Powell, M. J. D. 32 1967 Least Frobenius norm updating of quadratic models that satisfy interpolation conditions. Zbl 1146.90526Powell, M. J. D. 32 2004 On the estimation of sparse Hessian matrices. Zbl 0426.65025Powell, M. J. D.; Toint, Ph. L. 31 1979 How bad are the BFGS and DFP methods when the objective function is quadratic? Zbl 0581.90068Powell, M. J. D. 30 1986 A method for minimizing a sum of squares of non-linear functions without calculating derivatives. Zbl 0142.11601Powell, M. J. D. 29 1965 On trust region methods for unconstrained minimization without derivatives. Zbl 1106.90382Powell, M. J. D. 25 2003 A review of methods for multivariable interpolation at scattered data points. Zbl 0881.65003Powell, M. J. D. 24 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 Some convergence properties of the conjugate gradient method. Zbl 0356.65056Powell, M. J. D. 21 1976 A tolerant algorithm for linearly constrained optimization calculations. Zbl 0695.90084Powell, M. J. D. 21 1989 Recent advances in unconstrained optimization. Zbl 0228.90042Powell, M. J. D. 19 1971 Variable metric methods for constrained optimization. Zbl 0413.90065Powell, M. J. D. 18 1979 Recent research at Cambridge on radial basis functions. Zbl 0958.41501Powell, M. J. D. 18 1999 Updating conjugate directions by the BFGS formula. Zbl 0642.90086Powell, M. J. D 16 1987 Radial basis function methods for interpolation to functions of many variables. Zbl 1026.65009Powell, M. J. D. 15 2002 A note on quasi-Newton formulae for sparse second derivative matrices. Zbl 0453.90081Powell, M. J. D. 15 1981 Variable metric methods for constrained optimization. Zbl 0536.90076Powell, M. J. D. 14 1983 A survey of numerical methods for unconstrained optimization. Zbl 0193.13801Powell, M. J. D. 14 1970 Radial basis function interpolation on an infinite regular grid. Zbl 0749.41002Buhmann, M. D.; Powell, M. J. D. 13 1990 On the convergence of trust region algorithms for unconstrained minimization without derivatives. Zbl 1284.90096Powell, M. J. D. 13 2012 The convergence of variable metric matrices in unconstrained optimization. Zbl 0532.49015Ge, Renpu; Powell, M. J. D. 12 1983 Quadratic termination properties of minimization algorithms. I: Statement and discussion of results. II: Proofs of theorems. Zbl 0254.65047Powell, M. J. D. 12 1972 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 Least squares smoothing of univariate data to achieve piecewise monotonicity. Zbl 0726.65008Demetriou, I. C.; Powell, M. J. D. 11 1991 A ‘taut-string algorithm’ for straightening a piecewise linear path in two dimensions. Zbl 0908.65007Powell, M. J. D. 10 1998 General algorithms for discrete nonlinear approximation calculations. Zbl 0545.65047Powell, M. J. D. 9 1983 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 the A-acceptability of rational approximations that interpolate the exponential function. Zbl 0472.41013Iserles, A.; Powell, M. J. D. 9 1981 On a decomposition of conditionally positive-semidefinite matrices. Zbl 0492.15009Martin, D. H.; Powell, M. J. D.; Jacobson, D. H. 9 1981 On fast trust region methods for quadratic models with linear constraints. Zbl 1325.65084Powell, M. J. D. 9 2015 Proof of convergence of an iterative technique for thin plate spline interpolation in two dimensions. Zbl 0944.65015Faul, A. C.; Powell, M. J. D. 9 1999 On applying Householder transformations to linear least squares problems. Zbl 0194.47002Powell, M. J. D.; Reid, J. K. 8 1969 On the use of quadratic models in unconstrained minimization without derivatives. Zbl 1140.90513Powell, M. J. D. 8 2004 A Krylov subspace algorithm for multiquadric interpolation in many dimensions. Zbl 1070.65006Faul, A. C.; Goodsell, G.; Powell, M. J. D. 8 2005 Univariate multiquadric interpolation: Some recent results. Zbl 0753.41003Powell, M. J. D. 7 1991 Univariate multiquadric approximation: Reproduction of linear polynomials. Zbl 0707.41008Powell, M. J. D. 7 1990 Rank one methods for unconstrained optimization. Zbl 0334.90052Powell, M. J. D. 7 1970 The minimum sum of squares change to univariate data that gives convexity. Zbl 0726.65009Demetriou, I. C.; Powell, M. J. D. 7 1991 Quadratic termination properties of Davidon’s new variable metric algorithm. Zbl 0399.90085Powell, M. J. D. 7 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 Weighted uniform sampling - a Monte Carlo technique for reducing variance. Zbl 0144.42001Powell, M. J. D.; Swann, J. 7 1966 On the convergence of the DFP algorithm for unconstrained optimization when there are only two variables. Zbl 0964.65068Powell, M. J. D. 6 2000 On error growth in the Bartels-Golub and Fletcher-Matthews algorithms for updating matrix factorizations. Zbl 0633.65052Powell, M. J. D. 6 1987 Karmarkar’s algorithm: A view from nonlinear programming. Zbl 0711.90052Powell, M. J. D. 6 1990 Tabulation of thin plate splines on a very fine two-dimensional grid. Zbl 0813.65014Powell, M. J. D. 6 1992 Truncated Laurent expansions for the fast evaluation of thin plate splines. Zbl 0790.65010Powell, M. J. D. 6 1993 Fast evaluation of polyharmonic splines in three dimensions. Zbl 1127.65011Beatson, R. K.; Powell, M. J. D.; Tan, A. M. 6 2007 Some algorithms for thin plate spline interpolation to functions of two variables. Zbl 0839.65004Powell, M. J. D. 6 1994 An algorithm for maximizing entropy subject to simple bounds. Zbl 0649.90086Powell, M. J. D. 6 1988 On the Lagrange functions of quadratic models that are defined by interpolation. Zbl 1027.90091Powell, M. J. D. 6 2001 Krylov subspace methods for radial basis function interpolation. Zbl 0952.65012Faul, A. C.; Powell, M. J. D. 6 2000 Beyond symmetric Broyden for updating quadratic models in minimization without derivatives. Zbl 1266.65095Powell, M. J. D. 6 2013 On best \(L_ 2\) spline approximations. Zbl 0176.14102Powell, M. J. D. 6 1968 A review of algorithms for thin plate spline interpolation in two dimensions. Zbl 1273.65019Powell, M. J. D. 6 1996 Radial basis function methods for interpolation to functions of many variables. Zbl 1048.65502Powell, M. J. D. 5 2002 Data smoothing by divided differences. Zbl 0497.65005Cullinan, M. P.; Powell, M. J. D. 5 1982 Variable metric methods for constrained optimization. Zbl 0453.90079Powell, M. J. D. 5 1980 The local dependence of least squares cubic splines. Zbl 0183.44104Powell, M. J. D. 5 1969 The differential correction algorithm for generalized rational functions. Zbl 0635.65013Cheney, E. W.; Powell, M. J. D. 4 1987 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 The performance of two subroutines for constrained optimization on some difficult test problems. Zbl 0575.65065Powell, M. J. D. 4 1985 On the number of iterations of Karmarkar’s algorithm for linear programming. Zbl 0804.90092Powell, M. J. D. 4 1993 On nonlinear optimization since 1959. Zbl 1192.65084Powell, M. J. D. 4 2010 On fast trust region methods for quadratic models with linear constraints. Zbl 1325.65084Powell, M. J. D. 9 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. 6 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. 4 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. 35 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. 63 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. 32 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. 25 2003 UOBYQA: unconstrained optimization by quadratic approximation. Zbl 1014.65050Powell, M. J. D. 70 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. 5 2002 On the Lagrange functions of quadratic models that are defined by interpolation. Zbl 1027.90091Powell, M. J. D. 6 2001 On the convergence of the DFP algorithm for unconstrained optimization when there are only two variables. Zbl 0964.65068Powell, M. J. D. 6 2000 Krylov subspace methods for radial basis function interpolation. Zbl 0952.65012Faul, A. C.; Powell, M. J. D. 6 2000 Recent research at Cambridge on radial basis functions. Zbl 0958.41501Powell, M. J. D. 18 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. 9 1999 Direct search algorithms for optimization calculations. Zbl 0911.65050Powell, M. J. D. 46 1998 A ‘taut-string algorithm’ for straightening a piecewise linear path in two dimensions. Zbl 0908.65007Powell, M. J. D. 10 1998 Trust region calculations revisited. Zbl 0903.65052Powell, M. J. D. 2 1998 The use of band matrices for second derivative approximations in trust region algorithms. Zbl 0908.90241Powell, M. J. D. 1 1998 A review of methods for multivariable interpolation at scattered data points. Zbl 0881.65003Powell, M. J. D. 24 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. 6 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. 65 1994 The uniform convergence of thin plate spline interpolation in two dimensions. Zbl 0812.41005Powell, M. J. D. 43 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. 2 1993 The theory of radial basis function approximation in 1990. Zbl 0787.65005Powell, M. J. D. 167 1992 Univariate multiquadric approximation: Quasi-interpolation to scattered data. Zbl 0763.41012Beatson, R. K.; Powell, M. J. D. 65 1992 Tabulation of thin plate splines on a very fine two-dimensional grid. Zbl 0813.65014Powell, M. J. D. 6 1992 The complexity of Karmarkar’s algorithm for linear programming. Zbl 0809.65056Powell, M. J. D. 2 1992 Log barrier methods for semi-infinite programming calculations. Zbl 0814.90117Powell, 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. 11 1991 Univariate multiquadric interpolation: Some recent results. Zbl 0753.41003Powell, M. J. D. 7 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 81 1990 Radial basis function interpolation on an infinite regular grid. Zbl 0749.41002Buhmann, M. D.; Powell, M. J. D. 13 1990 Univariate multiquadric approximation: Reproduction of linear polynomials. Zbl 0707.41008Powell, M. J. D. 7 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. 21 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. 4 1988 A review of algorithms for nonlinear equations and unconstrained optimization. Zbl 0665.65054Powell, M. J. D. 2 1988 Radial basis function approximations to polynomials. Zbl 0652.41002Powell, M. J. D. 1 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 functions for multivariable interpolation: a review. Zbl 0638.41001Powell, M. J. D. 49 1987 Updating conjugate directions by the BFGS formula. Zbl 0642.90086Powell, M. J. D 16 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 Convergence properties of algorithms for nonlinear optimization. Zbl 0624.90091Powell, M. J. D. 58 1986 A recursive quadratic programming algorithm that uses differentiable exact penalty functions. Zbl 0598.90079Powell, M. J. D.; Yuan, Yaxiang 43 1986 How bad are the BFGS and DFP methods when the objective function is quadratic? Zbl 0581.90068Powell, M. J. D. 30 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. 84 1984 On the global convergence of trust region algorithms for unconstrained minimization. Zbl 0569.90069Powell, M. J. D. 78 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. 14 1983 The convergence of variable metric matrices in unconstrained optimization. Zbl 0532.49015Ge, Renpu; Powell, M. J. D. 12 1983 General algorithms for discrete nonlinear approximation calculations. Zbl 0545.65047Powell, 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. 95 1982 Data smoothing by divided differences. Zbl 0497.65005Cullinan, M. P.; Powell, M. J. D. 5 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 0541.00004 3 1982 Current developments in the interface: economics, econometrics, mathematics. State of the art surveys presented on the occasion of the 25th Anniversary of the Econometric Institute (Netherlands School of Economics), Erasmus University, Rotterdam, January 1982. Zbl 0498.90001 1 1982 Approximation theory and methods. Zbl 0453.41001Powell, M. J. D. 187 1981 A note on quasi-Newton formulae for sparse second derivative matrices. Zbl 0453.90081Powell, M. J. D. 15 1981 On the A-acceptability of rational approximations that interpolate the exponential function. Zbl 0472.41013Iserles, A.; Powell, M. J. D. 9 1981 On a decomposition of conditionally positive-semidefinite matrices. Zbl 0492.15009Martin, D. H.; Powell, M. J. D.; Jacobson, D. H. 9 1981 An example of cycling in a feasible point algorithm. Zbl 0462.90062Powell, M. J. D. 3 1981 The Shanno-Toint procedure for updating sparse symmetric matrices. Zbl 0482.65034Powell, M. J. D.; Toint, Ph. L. 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. 5 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. 31 1979 Variable metric methods for constrained optimization. Zbl 0413.90065Powell, M. J. D. 18 1979 A fast algorithm for nonlinearly constrained optimization calculations. Zbl 0374.65032Powell, M. J. D. 131 1978 Algorithms for nonlinear constraints that use Lagrangian functions. Zbl 0383.90092Powell, M. J. D. 71 1978 The convergence of variable metric methods for nonlinearly constrained optimization calculations. Zbl 0464.65042Powell, M. J. D. 64 1978 Piecewise quadratic approximations on triangles. Zbl 0375.41010Powell, M. J. D.; Sabin, M. A. 183 1977 Restart procedures for the conjugate gradient method. Zbl 0396.90072Powell, M. J. D. 150 1977 Quadratic termination properties of Davidon’s new variable metric algorithm. Zbl 0399.90085Powell, M. J. D. 7 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 Some global convergence properties of a variable metric algorithm for minimization without exact line searches. Zbl 0338.65038Powell, M. J. D. 105 1976 Some convergence properties of the conjugate gradient method. Zbl 0356.65056Powell, M. J. D. 21 1976 Optimal interpolation. Zbl 0317.65002Gaffney, P. W.; Powell, M. J. D. 9 1976 Convergence properties of a class of minimization algorithms. Zbl 0321.90045Powell, M. J. D. 42 1975 ...and 30 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,073 Authors 29 Wei, Zengxin 29 Zhu, Detong 25 Jian, Jinbao 25 Wu, Zongmin 25 Yuan, Gonglin 23 Toint, Philippe L. 22 Martínez, José Mario 22 Yuan, Ya-xiang 20 Powell, Michael James David 19 Andrei, Neculai 19 Lukšan, Ladislav 19 Speleers, Hendrik 17 Pu, Dingguo 15 Sun, Wenyu 13 Buhmann, Martin Dietrich 13 Conn, Andrew Roger 13 Li, Donghui 12 Dai, Yu-Hong 12 Dierckx, Paul 12 Grippo, Luigi 11 Al-Baali, Mehiddin 11 Demetriou, Ioannis C. 11 Gao, Wenwu 11 Goldfarb, Donald 11 Zalmai, G. J. 10 Babaie-Kafaki, Saman 10 Birgin, Ernesto G. 10 Byrd, Richard H. 10 Fletcher, Roger 10 Hon, Yiu-Chung 10 Nocedal, Jorge 10 Qi, Liqun 10 Rustem, Berc 10 Schaback, Robert 10 Wang, Changyu 9 Bultheel, Adhemar François 9 Coleman, Thomas F. 9 Fornberg, Bengt 9 Fortes, Miguel Angel 9 Gill, Philip E. 9 Grošelj, Jan 9 Karas, Elizabeth W. 9 Lucidi, Stefano 9 Ni, Qin 9 Pasadas, Miguel 9 Power, Henry 9 Qu, Shaojian 9 Shanno, David F. 9 Shen, Chungen 9 Shoemaker, Christine A. 9 Vandewalle, Stefan G. 9 Zhang, Kecun 9 Zhang, Shangyou 8 Amini, Keyvan 8 Burke, James V. 8 DeSarbo, Wayne S. 8 Iserles, Arieh 8 Kazem, Saeed 8 Kimiaei, Morteza 8 Levesley, Jeremy 8 Li, Guoyin 8 Sablonnière, Paul 8 Sbibih, Driss 8 Scheinberg, Katya 8 Su, Ke 8 Tijini, Ahmed 8 Tsoulos, Ioannis G. 8 Wang, Renhong 8 Yoon, Jungho 8 Zhang, Liwei 8 Zhu, Zhibin 7 Ahookhosh, Masoud 7 Bandler, John W. 7 Diehl, Moritz Mathias 7 Hossain, Shahadat 7 Lewis, Adrian S. 7 Maes, Jan 7 Peyghami, Mohammad Reza 7 Regis, Rommel G. 7 Serghini, Abdelhafid 7 Shi, Zhenjun 7 Sirisena, Harsha R. 7 Spedicato, Emilio 7 Steihaug, Trond 7 Stoer, Josef 7 Tang, Chunming 7 Taylor, Gerald D. 7 Wang, Fusheng 7 Wu, Fang 7 Yu, Zhensheng 7 Zhang, Jianzhong 6 Bartholomew-Biggs, Michael C. 6 Coope, Ian D. 6 De Marchi, Stefano 6 de Sampaio, Raimundo J. B. 6 Dennis, John E. jun. 6 Fan, Jinyan 6 Floater, Michael S. 6 Floudas, Christodoulos Achilleus 6 Flyer, Natasha ...and 3,973 more Authors all top 5 Cited in 363 Serials 218 Journal of Optimization Theory and Applications 201 Journal of Computational and Applied Mathematics 150 Applied Mathematics and Computation 109 Mathematical Programming 105 Mathematical Programming. Series A. Series B 92 Computers & Mathematics with Applications 81 Computational Optimization and Applications 74 Optimization Methods & Software 70 Computer Methods in Applied Mechanics and Engineering 66 Numerical Algorithms 60 Mathematics of Computation 57 European Journal of Operational Research 50 Optimization 50 Journal of Global Optimization 49 Numerische Mathematik 48 Journal of Approximation Theory 44 Applied Numerical Mathematics 41 Engineering Analysis with Boundary Elements 40 Journal of Computational Physics 35 Automatica 35 International Journal for Numerical Methods in Engineering 33 Computer Aided Geometric Design 29 Applied Mathematical Modelling 29 SIAM Journal on Optimization 26 Journal of Mathematical Analysis and Applications 26 Computing 24 Journal of Econometrics 24 Numerical Functional Analysis and Optimization 23 International Journal of Control 23 Journal of the Franklin Institute 23 BIT 23 Annals of Operations Research 22 Constructive Approximation 21 International Journal of Systems Science 21 Advances in Computational Mathematics 20 Calcolo 20 Acta Mathematicae Applicatae Sinica. English Series 20 Computers & Operations Research 20 Optimization Letters 19 Journal of Scientific Computing 18 Psychometrika 18 Mathematics and Computers in Simulation 18 Mathematical and Computer Modelling 18 Linear Algebra and its Applications 18 Computational and Applied Mathematics 18 Mathematical Problems in Engineering 18 Optimization and Engineering 18 Journal of Applied Mathematics and Computing 17 International Journal of Computer Mathematics 17 Computational Statistics and Data Analysis 16 Applied Mathematics. Series B (English Edition) 15 Journal of Statistical Computation and Simulation 14 Kybernetika 12 Mathematical Programming Computation 11 Optimal Control Applications & Methods 11 Applied Mathematics Letters 10 Information Sciences 10 Journal of Inequalities and Applications 10 Journal of Applied Mathematics 9 Computers and Fluids 9 Mathematical Biosciences 9 Systems & Control Letters 9 Computational Mechanics 9 SIAM Journal on Scientific Computing 9 Science China. Mathematics 8 Computer Physics Communications 8 Aplikace Matematiky 8 Circuits, Systems, and Signal Processing 8 Physica D 8 Acta Mathematica Sinica. English Series 7 Applied Mathematics and Optimization 7 Journal of Mathematical Sciences (New York) 7 International Journal of Control, I. Series 7 Numerical Algebra, Control and Optimization 6 Journal of Fluid Mechanics 6 Journal of the Mechanics and Physics of Solids 6 Operations Research Letters 6 Neural Networks 6 Communications in Statistics. Simulation and Computation 6 Abstract and Applied Analysis 6 Computational Geosciences 6 Journal of Systems Science and Complexity 6 Structural and Multidisciplinary Optimization 5 Acta Mechanica 5 Applicable Analysis 5 Physics Letters. A 5 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 5 Annals of the Institute of Statistical Mathematics 5 Meccanica 5 Journal of Classification 5 Communications in Statistics. Theory and Methods 5 Pattern Recognition 5 European Journal of Mechanics. A. Solids 5 International Journal of Applied Mathematics and Computer Science 5 Archives of Computational Methods in Engineering 5 4OR 5 Inverse Problems in Science and Engineering 5 Journal of the Operations Research Society of China 4 International Journal of Mathematical Education in Science and Technology 4 Journal of Engineering Mathematics ...and 263 more Serials all top 5 Cited in 56 Fields 1,716 Numerical analysis (65-XX) 1,567 Operations research, mathematical programming (90-XX) 377 Approximations and expansions (41-XX) 364 Calculus of variations and optimal control; optimization (49-XX) 205 Statistics (62-XX) 165 Computer science (68-XX) 162 Systems theory; control (93-XX) 148 Mechanics of deformable solids (74-XX) 146 Partial differential equations (35-XX) 115 Fluid mechanics (76-XX) 69 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 56 Biology and other natural sciences (92-XX) 50 Information and communication theory, circuits (94-XX) 39 Linear and multilinear algebra; matrix theory (15-XX) 32 Geophysics (86-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 28 Classical thermodynamics, heat transfer (80-XX) 27 Ordinary differential equations (34-XX) 27 Operator theory (47-XX) 26 Probability theory and stochastic processes (60-XX) 20 Mechanics of particles and systems (70-XX) 18 Integral equations (45-XX) 17 Combinatorics (05-XX) 17 Optics, electromagnetic theory (78-XX) 15 Real functions (26-XX) 15 Functions of a complex variable (30-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Quantum theory (81-XX) 13 Functional analysis (46-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Special functions (33-XX) 10 Convex and discrete geometry (52-XX) 8 Measure and integration (28-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) 3 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. Updates and corrections should be made in Wikidata.