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Powell, Michael James David

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Author ID: powell.m-j-d Recent zbMATH articles by "Powell, Michael James David"
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

Publications by Year

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 0132.11603
Fletcher, R.; Powell, M. J. D.
417
1963
An efficient method for finding the minimum of a function of several variables without calculating derivatives. Zbl 0132.11702
Powell, M. J. D.
216
1964
Approximation theory and methods. Zbl 0453.41001
Powell, M. J. D.
181
1981
The theory of radial basis function approximation in 1990. Zbl 0787.65005
Powell, M. J. D.
180
1992
A method for nonlinear constraints in minimization problems. Zbl 0194.47701
Powell, M. J. D.
168
1969
Piecewise quadratic approximations on triangles. Zbl 0375.41010
Powell, M. J. D.; Sabin, M. A.
165
1977
A fast algorithm for nonlinearly constrained optimization calculations. Zbl 0374.65032
Powell, M. J. D.
147
1978
Restart procedures for the conjugate gradient method. Zbl 0396.90072
Powell, M. J. D.
140
1977
Some global convergence properties of a variable metric algorithm for minimization without exact line searches. Zbl 0338.65038
Powell, M. J. D.
104
1976
The watchdog technique for forcing convergence in algorithms for constrained optimization. Zbl 0477.90072
Chamberlain, R. M.; Powell, M. J. D.; Lemarechal, C.; Pedersen, H. C.
92
1982
Nonconvex minimization calculations and the conjugate gradient method. Zbl 0531.65035
Powell, M. J. D.
81
1984
A trust region algorithm for equality constrained optimization. Zbl 0816.90121
Powell, M. J. D.; Yuan, Yaxiang
77
1990
On the global convergence of trust region algorithms for unconstrained minimization. Zbl 0569.90069
Powell, M. J. D.
74
1984
A new algorithm for unconstrained optimization. Zbl 0228.90043
Powell, M. J. D.
70
1970
The convergence of variable metric methods for nonlinearly constrained optimization calculations. Zbl 0464.65042
Powell, M. J. D.
68
1978
A hybrid method for nonlinear equations. Zbl 0277.65028
Powell, M. J. D.
68
1970
Algorithms for nonlinear constraints that use Lagrangian functions. Zbl 0383.90092
Powell, M. J. D.
67
1978
On the estimation of sparse Jacobian matrices. Zbl 0273.65036
Curtis, A. R.; Powell, M. J. D.; Reid, J. K.
67
1974
Radial basis functions for multivariable interpolation: a review. Zbl 0638.41001
Powell, M. J. D.
64
1987
UOBYQA: unconstrained optimization by quadratic approximation. Zbl 1014.65050
Powell, M. J. D.
63
2002
Convergence properties of a class of minimization algorithms. Zbl 0321.90045
Powell, M. J. D.
60
1975
Univariate multiquadric approximation: Quasi-interpolation to scattered data. Zbl 0763.41012
Beatson, R. K.; Powell, M. J. D.
58
1992
A direct search optimization method that models the objective and constraint functions by linear interpolation. Zbl 0826.90108
Powell, M. J. D.
57
1994
On the convergence of the variable metric algorithm. Zbl 0217.52804
Powell, M. J. D.
56
1971
The NEWUOA software for unconstrained optimization without derivatives. Zbl 1108.90005
Powell, M. J. D.
52
2006
Convergence properties of algorithms for nonlinear optimization. Zbl 0624.90091
Powell, M. J. D.
51
1986
On search directions for minimization algorithms. Zbl 0258.90043
Powell, M. J. D.
43
1973
A recursive quadratic programming algorithm that uses differentiable exact penalty functions. Zbl 0598.90079
Powell, M. J. D.; Yuan, Yaxiang
41
1986
The differential correction algorithm for rational \(l_\infty\)- approximation. Zbl 0251.65008
Barrodale, 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 0104.34303
Powell, M. J. D.
40
1962
The uniform convergence of thin plate spline interpolation in two dimensions. Zbl 0812.41005
Powell, M. J. D.
39
1994
A Fortran subroutine for solving systems of nonlinear algebraic equations. Zbl 0245.65024
Powell, M. J. D.
38
1970
Direct search algorithms for optimization calculations. Zbl 0911.65050
Powell, M. J. D.
37
1998
On the maximum errors of polynomial approximations defined by interpolation and by least squares criteria. Zbl 0147.14305
Powell, M. J. D.
32
1967
Developments of NEWUOA for minimization without derivatives. Zbl 1154.65049
Powell, M. J. D.
30
2008
On the estimation of sparse Hessian matrices. Zbl 0426.65025
Powell, M. J. D.; Toint, Ph. L.
30
1979
A method for minimizing a sum of squares of non-linear functions without calculating derivatives. Zbl 0142.11601
Powell, M. J. D.
29
1965
Least Frobenius norm updating of quadratic models that satisfy interpolation conditions. Zbl 1146.90526
Powell, M. J. D.
28
2004
How bad are the BFGS and DFP methods when the objective function is quadratic? Zbl 0581.90068
Powell, M. J. D.
27
1986
Variable metric methods for constrained optimization. Zbl 0536.90076
Powell, M. J. D.
27
1983
A review of methods for multivariable interpolation at scattered data points. Zbl 0881.65003
Powell, M. J. D.
25
1997
On the quadratic programming algorithm of Goldfarb and Idnani. Zbl 0584.90069
Powell, M. J. D.
22
1985
On the modification of LDL\(^T\) factorizations. Zbl 0293.65018
Fletcher, R.; Powell, M. J. D.
22
1974
On trust region methods for unconstrained minimization without derivatives. Zbl 1106.90382
Powell, M. J. D.
21
2003
A tolerant algorithm for linearly constrained optimization calculations. Zbl 0695.90084
Powell, M. J. D.
20
1989
Some convergence properties of the conjugate gradient method. Zbl 0356.65056
Powell, M. J. D.
20
1976
Variable metric methods for constrained optimization. Zbl 0413.90065
Powell, M. J. D.
19
1979
Recent advances in unconstrained optimization. Zbl 0228.90042
Powell, M. J. D.
19
1971
Radial basis function methods for interpolation to functions of many variables. Zbl 1026.65009
Powell, M. J. D.
15
2002
Recent research at Cambridge on radial basis functions. Zbl 0958.41501
Powell, M. J. D.
15
1999
Updating conjugate directions by the BFGS formula. Zbl 0642.90086
Powell, M. J. D
15
1987
A note on quasi-Newton formulae for sparse second derivative matrices. Zbl 0453.90081
Powell, M. J. D.
15
1981
A survey of numerical methods for unconstrained optimization. Zbl 0193.13801
Powell, M. J. D.
15
1970
Radial basis function interpolation on an infinite regular grid. Zbl 0749.41002
Buhmann, 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 0254.65047
Powell, M. J. D.
14
1972
On the convergence of trust region algorithms for unconstrained minimization without derivatives. Zbl 1284.90096
Powell, M. J. D.
13
2012
Some properties of the variable metric algorithm. Zbl 0288.65036
Powell, M. J. D.
12
1972
A view of unconstrained minimization algorithms that do not require derivatives. Zbl 0303.65059
Powell, M. J. D.
11
1975
A ‘taut-string algorithm’ for straightening a piecewise linear path in two dimensions. Zbl 0908.65007
Powell, M. J. D.
10
1998
Least squares smoothing of univariate data to achieve piecewise monotonicity. Zbl 0726.65008
Demetriou, I. C.; Powell, M. J. D.
10
1991
Rank one methods for unconstrained optimization. Zbl 0334.90052
Powell, M. J. D.
10
1970
General algorithms for discrete nonlinear approximation calculations. Zbl 0545.65047
Powell, M. J. D.
9
1983
The convergence of variable metric matrices in unconstrained optimization. Zbl 0532.49015
Ge, Renpu; Powell, M. J. D.
9
1983
On a decomposition of conditionally positive-semidefinite matrices. Zbl 0492.15009
Martin, D. H.; Powell, M. J. D.; Jacobson, D. H.
9
1981
On the A-acceptability of rational approximations that interpolate the exponential function. Zbl 0472.41013
Iserles, A.; Powell, M. J. D.
9
1981
Optimal interpolation. Zbl 0317.65002
Gaffney, P. W.; Powell, M. J. D.
9
1976
Unconstrained minimization algorithms without computation of derivatives. Zbl 0324.65030
Powell, M. J. D.
9
1974
On applying Householder transformations to linear least squares problems. Zbl 0194.47002
Powell, M. J. D.; Reid, J. K.
9
1969
A Krylov subspace algorithm for multiquadric interpolation in many dimensions. Zbl 1070.65006
Faul, A. C.; Goodsell, G.; Powell, M. J. D.
8
2005
On the use of quadratic models in unconstrained minimization without derivatives. Zbl 1140.90513
Powell, M. J. D.
8
2004
Proof of convergence of an iterative technique for thin plate spline interpolation in two dimensions. Zbl 0944.65015
Faul, A. C.; Powell, M. J. D.
8
1999
Univariate multiquadric interpolation: Some recent results. Zbl 0753.41003
Powell, M. J. D.
8
1991
Univariate multiquadric approximation: Reproduction of linear polynomials. Zbl 0707.41008
Powell, M. J. D.
8
1990
Variable metric methods for constrained optimization. Zbl 0453.90079
Powell, M. J. D.
8
1980
The minimum sum of squares change to univariate data that gives convexity. Zbl 0726.65009
Demetriou, I. C.; Powell, M. J. D.
7
1991
A technique that gains speed and accuracy in the minimax solution of overdetermined linear equations. Zbl 0407.68028
Hopper, M. J.; Powell, M. J. D.
7
1977
Quadratic termination properties of Davidon’s new variable metric algorithm. Zbl 0399.90085
Powell, M. J. D.
7
1977
Weighted uniform sampling - a Monte Carlo technique for reducing variance. Zbl 0144.42001
Powell, M. J. D.; Swann, J.
7
1966
On fast trust region methods for quadratic models with linear constraints. Zbl 1325.65084
Powell, M. J. D.
6
2015
Fast evaluation of polyharmonic splines in three dimensions. Zbl 1127.65011
Beatson, R. K.; Powell, M. J. D.; Tan, A. M.
6
2007
Krylov subspace methods for radial basis function interpolation. Zbl 0952.65012
Faul, A. C.; Powell, M. J. D.
6
2000
Some algorithms for thin plate spline interpolation to functions of two variables. Zbl 0839.65004
Powell, M. J. D.
6
1994
Truncated Laurent expansions for the fast evaluation of thin plate splines. Zbl 0790.65010
Powell, M. J. D.
6
1993
Tabulation of thin plate splines on a very fine two-dimensional grid. Zbl 0813.65014
Powell, M. J. D.
6
1992
Karmarkar’s algorithm: A view from nonlinear programming. Zbl 0711.90052
Powell, M. J. D.
6
1990
An algorithm for maximizing entropy subject to simple bounds. Zbl 0649.90086
Powell, M. J. D.
6
1988
On error growth in the Bartels-Golub and Fletcher-Matthews algorithms for updating matrix factorizations. Zbl 0633.65052
Powell, M. J. D.
6
1987
Data smoothing by divided differences. Zbl 0497.65005
Cullinan, M. P.; Powell, M. J. D.
6
1982
On best \(L_ 2\) spline approximations. Zbl 0176.14102
Powell, M. J. D.
6
1968
On the Lagrange functions of quadratic models that are defined by interpolation. Zbl 1027.90091
Powell, M. J. D.
5
2001
On the convergence of the DFP algorithm for unconstrained optimization when there are only two variables. Zbl 0964.65068
Powell, M. J. D.
5
2000
A review of algorithms for thin plate spline interpolation in two dimensions. Zbl 1273.65019
Powell, M. J. D.
5
1996
Radial basis function approximations to polynomials. Zbl 0687.41004
Powell, M. J. D.
5
1988
The local dependence of least squares cubic splines. Zbl 0183.44104
Powell, M. J. D.
5
1969
Beyond symmetric Broyden for updating quadratic models in minimization without derivatives. Zbl 1266.65095
Powell, M. J. D.
4
2013
Radial basis function methods for interpolation to functions of many variables. Zbl 1048.65502
Powell, M. J. D.
4
2002
A new iterative algorithm for thin plate spline interpolation in two dimensions. Zbl 0885.65012
Powell, M. J. D.
4
1997
On the number of iterations of Karmarkar’s algorithm for linear programming. Zbl 0804.90092
Powell, M. J. D.
4
1993
The differential correction algorithm for generalized rational functions. Zbl 0635.65013
Cheney, E. W.; Powell, M. J. D.
4
1987
The performance of two subroutines for constrained optimization on some difficult test problems. Zbl 0575.65065
Powell, M. J. D.
4
1985
On fast trust region methods for quadratic models with linear constraints. Zbl 1325.65084
Powell, M. J. D.
6
2015
Human-inspired motion primitives and transitions for bipedal robotic locomotion in diverse terrain. Zbl 1305.93149
Zhao, H.; Powell, M. J.; Ames, A. D.
1
2014
The Lagrange method and SAO with bounds on the dual variables. Zbl 1285.90067
Powell, M. J. D.
1
2014
Beyond symmetric Broyden for updating quadratic models in minimization without derivatives. Zbl 1266.65095
Powell, M. J. D.
4
2013
On the convergence of trust region algorithms for unconstrained minimization without derivatives. Zbl 1284.90096
Powell, M. J. D.
13
2012
On nonlinear optimization since 1959. Zbl 1192.65084
Powell, M. J. D.
3
2010
On the convergence of a wide range of trust region methods for unconstrained optimization. Zbl 1187.65069
Powell, M. J. D.
1
2010
Developments of NEWUOA for minimization without derivatives. Zbl 1154.65049
Powell, M. J. D.
30
2008
Fast evaluation of polyharmonic splines in three dimensions. Zbl 1127.65011
Beatson, R. K.; Powell, M. J. D.; Tan, A. M.
6
2007
The NEWUOA software for unconstrained optimization without derivatives. Zbl 1108.90005
Powell, M. J. D.
52
2006
A Krylov subspace algorithm for multiquadric interpolation in many dimensions. Zbl 1070.65006
Faul, A. C.; Goodsell, G.; Powell, M. J. D.
8
2005
Least Frobenius norm updating of quadratic models that satisfy interpolation conditions. Zbl 1146.90526
Powell, M. J. D.
28
2004
On the use of quadratic models in unconstrained minimization without derivatives. Zbl 1140.90513
Powell, M. J. D.
8
2004
On trust region methods for unconstrained minimization without derivatives. Zbl 1106.90382
Powell, M. J. D.
21
2003
UOBYQA: unconstrained optimization by quadratic approximation. Zbl 1014.65050
Powell, M. J. D.
63
2002
Radial basis function methods for interpolation to functions of many variables. Zbl 1026.65009
Powell, M. J. D.
15
2002
Radial basis function methods for interpolation to functions of many variables. Zbl 1048.65502
Powell, M. J. D.
4
2002
On the Lagrange functions of quadratic models that are defined by interpolation. Zbl 1027.90091
Powell, M. J. D.
5
2001
Krylov subspace methods for radial basis function interpolation. Zbl 0952.65012
Faul, 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 0964.65068
Powell, M. J. D.
5
2000
Recent research at Cambridge on radial basis functions. Zbl 0958.41501
Powell, M. J. D.
15
1999
Proof of convergence of an iterative technique for thin plate spline interpolation in two dimensions. Zbl 0944.65015
Faul, A. C.; Powell, M. J. D.
8
1999
Direct search algorithms for optimization calculations. Zbl 0911.65050
Powell, M. J. D.
37
1998
A ‘taut-string algorithm’ for straightening a piecewise linear path in two dimensions. Zbl 0908.65007
Powell, M. J. D.
10
1998
The use of band matrices for second derivative approximations in trust region algorithms. Zbl 0908.90241
Powell, M. J. D.
1
1998
Trust region calculations revisited. Zbl 0903.65052
Powell, M. J. D.
1
1998
A review of methods for multivariable interpolation at scattered data points. Zbl 0881.65003
Powell, M. J. D.
25
1997
A new iterative algorithm for thin plate spline interpolation in two dimensions. Zbl 0885.65012
Powell, M. J. D.
4
1997
Least squares fitting to univariate data subject to restrictions on the signs of the second differences. Zbl 1031.65027
Demetriou, I. C.; Powell, M. J. D.
2
1997
A review of algorithms for thin plate spline interpolation in two dimensions. Zbl 1273.65019
Powell, M. J. D.
5
1996
On multigrid techniques for thin plate spline interpolation in two dimensions. Zbl 0862.41007
Beatson, R. K.; Goodsell, G.; Powell, M. J. D.
3
1996
A thin plate spline method for mapping curves into curves in two dimensions. Zbl 0911.65011
Powell, M. J. D.
1
1996
Some convergence properties of the modified log barrier method for linear programming. Zbl 0841.65046
Powell, M. J. D.
3
1995
A direct search optimization method that models the objective and constraint functions by linear interpolation. Zbl 0826.90108
Powell, M. J. D.
57
1994
The uniform convergence of thin plate spline interpolation in two dimensions. Zbl 0812.41005
Powell, M. J. D.
39
1994
Some algorithms for thin plate spline interpolation to functions of two variables. Zbl 0839.65004
Powell, M. J. D.
6
1994
An iterative method for thin plate spline interpolation that employs approximations to Lagrange functions. Zbl 0795.65004
Beatson, R. K.; Powell, M. J. D.
3
1994
Truncated Laurent expansions for the fast evaluation of thin plate splines. Zbl 0790.65010
Powell, M. J. D.
6
1993
On the number of iterations of Karmarkar’s algorithm for linear programming. Zbl 0804.90092
Powell, M. J. D.
4
1993
Log barrier methods for semi-infinite programming calculations. Zbl 0801.65062
Powell, M. J. D.
1
1993
The theory of radial basis function approximation in 1990. Zbl 0787.65005
Powell, M. J. D.
180
1992
Univariate multiquadric approximation: Quasi-interpolation to scattered data. Zbl 0763.41012
Beatson, R. K.; Powell, M. J. D.
58
1992
Tabulation of thin plate splines on a very fine two-dimensional grid. Zbl 0813.65014
Powell, M. J. D.
6
1992
Log barrier methods for semi-infinite programming calculations. Zbl 0814.90117
Powell, M. J. D.
2
1992
The complexity of Karmarkar’s algorithm for linear programming. Zbl 0809.65056
Powell, M. J. D.
2
1992
Univariate interpolation on a regular finite grid by a multiquadric plus a linear polynomial. Zbl 0751.65005
Beatson, R. K.; Powell, M. J. D.
1
1992
Least squares smoothing of univariate data to achieve piecewise monotonicity. Zbl 0726.65008
Demetriou, I. C.; Powell, M. J. D.
10
1991
Univariate multiquadric interpolation: Some recent results. Zbl 0753.41003
Powell, M. J. D.
8
1991
The minimum sum of squares change to univariate data that gives convexity. Zbl 0726.65009
Demetriou, I. C.; Powell, M. J. D.
7
1991
A trust region algorithm for equality constrained optimization. Zbl 0816.90121
Powell, M. J. D.; Yuan, Yaxiang
77
1990
Radial basis function interpolation on an infinite regular grid. Zbl 0749.41002
Buhmann, M. D.; Powell, M. J. D.
14
1990
Univariate multiquadric approximation: Reproduction of linear polynomials. Zbl 0707.41008
Powell, M. J. D.
8
1990
Karmarkar’s algorithm: A view from nonlinear programming. Zbl 0711.90052
Powell, M. J. D.
6
1990
A tolerant algorithm for linearly constrained optimization calculations. Zbl 0695.90084
Powell, M. J. D.
20
1989
An algorithm for maximizing entropy subject to simple bounds. Zbl 0649.90086
Powell, M. J. D.
6
1988
Radial basis function approximations to polynomials. Zbl 0687.41004
Powell, M. J. D.
5
1988
A review of algorithms for nonlinear equations and unconstrained optimization. Zbl 0665.65054
Powell, M. J. D.
3
1988
QR factorization for linear least-squares problems on a hypercube multiprocessor. Zbl 0662.65033
Chamberlain, R. M.; Powell, M. J. D.
1
1988
Radial basis function approximations to polynomials. Zbl 0652.41002
Powell, M. J. D.
1
1988
Radial basis functions for multivariable interpolation: a review. Zbl 0638.41001
Powell, M. J. D.
64
1987
Updating conjugate directions by the BFGS formula. Zbl 0642.90086
Powell, M. J. D
15
1987
On error growth in the Bartels-Golub and Fletcher-Matthews algorithms for updating matrix factorizations. Zbl 0633.65052
Powell, M. J. D.
6
1987
The differential correction algorithm for generalized rational functions. Zbl 0635.65013
Cheney, E. W.; Powell, M. J. D.
4
1987
Methods for nonlinear constraints in optimization calculations. Zbl 0624.90093
Powell, 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 0611.00024
Iserles, A. (ed.); Powell, M. J. D. (ed.)
1
1987
Convergence properties of algorithms for nonlinear optimization. Zbl 0624.90091
Powell, M. J. D.
51
1986
A recursive quadratic programming algorithm that uses differentiable exact penalty functions. Zbl 0598.90079
Powell, M. J. D.; Yuan, Yaxiang
41
1986
How bad are the BFGS and DFP methods when the objective function is quadratic? Zbl 0581.90068
Powell, M. J. D.
27
1986
On the quadratic programming algorithm of Goldfarb and Idnani. Zbl 0584.90069
Powell, M. J. D.
22
1985
The performance of two subroutines for constrained optimization on some difficult test problems. Zbl 0575.65065
Powell, M. J. D.
4
1985
Nonconvex minimization calculations and the conjugate gradient method. Zbl 0531.65035
Powell, M. J. D.
81
1984
On the global convergence of trust region algorithms for unconstrained minimization. Zbl 0569.90069
Powell, M. J. D.
74
1984
Conditions for superlinear convergence in \(\ell_ 1\) and \(\ell_{\infty}\) solutions of overdetermined non-linear equations. Zbl 0546.65031
Powell, M. J. D.; Yuan, Yaxiang
4
1984
Variable metric methods for constrained optimization. Zbl 0536.90076
Powell, M. J. D.
27
1983
General algorithms for discrete nonlinear approximation calculations. Zbl 0545.65047
Powell, M. J. D.
9
1983
The convergence of variable metric matrices in unconstrained optimization. Zbl 0532.49015
Ge, Renpu; Powell, M. J. D.
9
1983
The watchdog technique for forcing convergence in algorithms for constrained optimization. Zbl 0477.90072
Chamberlain, R. M.; Powell, M. J. D.; Lemarechal, C.; Pedersen, H. C.
92
1982
Data smoothing by divided differences. Zbl 0497.65005
Cullinan, 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 0541.00004
Powell, M. J. D. (ed.)
2
1982
Approximation theory and methods. Zbl 0453.41001
Powell, M. J. D.
181
1981
A note on quasi-Newton formulae for sparse second derivative matrices. Zbl 0453.90081
Powell, M. J. D.
15
1981
On a decomposition of conditionally positive-semidefinite matrices. Zbl 0492.15009
Martin, D. H.; Powell, M. J. D.; Jacobson, D. H.
9
1981
On the A-acceptability of rational approximations that interpolate the exponential function. Zbl 0472.41013
Iserles, A.; Powell, M. J. D.
9
1981
The Shanno-Toint procedure for updating sparse symmetric matrices. Zbl 0482.65034
Powell, M. J. D.; Toint, Ph. L.
3
1981
An example of cycling in a feasible point algorithm. Zbl 0462.90062
Powell, M. J. D.
3
1981
An upper triangular matrix method for quadratic programming. Zbl 0533.49025
Powell, M. J. D.
1
1981
Variable metric methods for constrained optimization. Zbl 0453.90079
Powell, M. J. D.
8
1980
Gradient conditions and Lagrange multipliers in nonlinear programming. Zbl 0453.90080
Powell, M. J. D.
2
1980
On the estimation of sparse Hessian matrices. Zbl 0426.65025
Powell, M. J. D.; Toint, Ph. L.
30
1979
Variable metric methods for constrained optimization. Zbl 0413.90065
Powell, M. J. D.
19
1979
A fast algorithm for nonlinearly constrained optimization calculations. Zbl 0374.65032
Powell, M. J. D.
147
1978
The convergence of variable metric methods for nonlinearly constrained optimization calculations. Zbl 0464.65042
Powell, M. J. D.
68
1978
Algorithms for nonlinear constraints that use Lagrangian functions. Zbl 0383.90092
Powell, M. J. D.
67
1978
Piecewise quadratic approximations on triangles. Zbl 0375.41010
Powell, M. J. D.; Sabin, M. A.
165
1977
Restart procedures for the conjugate gradient method. Zbl 0396.90072
Powell, M. J. D.
140
1977
A technique that gains speed and accuracy in the minimax solution of overdetermined linear equations. Zbl 0407.68028
Hopper, M. J.; Powell, M. J. D.
7
1977
Quadratic termination properties of Davidon’s new variable metric algorithm. Zbl 0399.90085
Powell, M. J. D.
7
1977
Some global convergence properties of a variable metric algorithm for minimization without exact line searches. Zbl 0338.65038
Powell, M. J. D.
104
1976
Some convergence properties of the conjugate gradient method. Zbl 0356.65056
Powell, M. J. D.
20
1976
Optimal interpolation. Zbl 0317.65002
Gaffney, P. W.; Powell, M. J. D.
9
1976
...and 31 more Documents
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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
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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
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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)
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15 Optics, electromagnetic theory (78-XX)
14 Combinatorics (05-XX)
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12 Functional analysis (46-XX)
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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)
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2 Astronomy and astrophysics (85-XX)
1 History and biography (01-XX)
1 Commutative algebra (13-XX)
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1 Associative rings and algebras (16-XX)
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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)

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