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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. D.; Powell, Michael; Powell, M. J. D; Powell, M. J.
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

Publications by Year

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 0132.11603
Fletcher, R.; Powell, M. J. D.
429
1963
An efficient method for finding the minimum of a function of several variables without calculating derivatives. Zbl 0132.11702
Powell, M. J. D.
227
1964
Approximation theory and methods. Zbl 0453.41001
Powell, M. J. D.
187
1981
Piecewise quadratic approximations on triangles. Zbl 0375.41010
Powell, M. J. D.; Sabin, M. A.
183
1977
The theory of radial basis function approximation in 1990. Zbl 0787.65005
Powell, M. J. D.
167
1992
Restart procedures for the conjugate gradient method. Zbl 0396.90072
Powell, M. J. D.
150
1977
A method for nonlinear constraints in minimization problems. Zbl 0194.47701
Powell, M. J. D.
146
1969
A fast algorithm for nonlinearly constrained optimization calculations. Zbl 0374.65032
Powell, M. J. D.
131
1978
Some global convergence properties of a variable metric algorithm for minimization without exact line searches. Zbl 0338.65038
Powell, M. J. D.
105
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.
95
1982
Nonconvex minimization calculations and the conjugate gradient method. Zbl 0531.65035
Powell, M. J. D.
84
1984
A trust region algorithm for equality constrained optimization. Zbl 0816.90121
Powell, M. J. D.; Yuan, Yaxiang
81
1990
On the global convergence of trust region algorithms for unconstrained minimization. Zbl 0569.90069
Powell, M. J. D.
78
1984
Algorithms for nonlinear constraints that use Lagrangian functions. Zbl 0383.90092
Powell, M. J. D.
71
1978
UOBYQA: unconstrained optimization by quadratic approximation. Zbl 1014.65050
Powell, M. J. D.
70
2002
On the estimation of sparse Jacobian matrices. Zbl 0273.65036
Curtis, A. R.; Powell, M. J. D.; Reid, J. K.
69
1974
A new algorithm for unconstrained optimization. Zbl 0228.90043
Powell, M. J. D.
68
1970
A hybrid method for nonlinear equations. Zbl 0277.65028
Powell, M. J. D.
68
1970
Univariate multiquadric approximation: Quasi-interpolation to scattered data. Zbl 0763.41012
Beatson, R. K.; Powell, M. J. D.
65
1992
A direct search optimization method that models the objective and constraint functions by linear interpolation. Zbl 0826.90108
Powell, M. J. D.
65
1994
The convergence of variable metric methods for nonlinearly constrained optimization calculations. Zbl 0464.65042
Powell, M. J. D.
64
1978
The NEWUOA software for unconstrained optimization without derivatives. Zbl 1108.90005
Powell, M. J. D.
63
2006
On the convergence of the variable metric algorithm. Zbl 0217.52804
Powell, M. J. D.
62
1971
Convergence properties of algorithms for nonlinear optimization. Zbl 0624.90091
Powell, M. J. D.
58
1986
Radial basis functions for multivariable interpolation: a review. Zbl 0638.41001
Powell, M. J. D.
49
1987
On search directions for minimization algorithms. Zbl 0258.90043
Powell, M. J. D.
49
1973
Direct search algorithms for optimization calculations. Zbl 0911.65050
Powell, M. J. D.
46
1998
A recursive quadratic programming algorithm that uses differentiable exact penalty functions. Zbl 0598.90079
Powell, M. J. D.; Yuan, Yaxiang
43
1986
The uniform convergence of thin plate spline interpolation in two dimensions. Zbl 0812.41005
Powell, M. J. D.
43
1994
The differential correction algorithm for rational \(l_\infty\)- approximation. Zbl 0251.65008
Barrodale, I.; Powell, M. J. D.; Roberts, F. D. K.
42
1972
Convergence properties of a class of minimization algorithms. Zbl 0321.90045
Powell, M. J. D.
42
1975
An iterative method for finding stationary values of a function of several variables. Zbl 0104.34303
Powell, M. J. D.
40
1962
A Fortran subroutine for solving systems of nonlinear algebraic equations. Zbl 0245.65024
Powell, M. J. D.
38
1970
Developments of NEWUOA for minimization without derivatives. Zbl 1154.65049
Powell, M. J. D.
35
2008
On the maximum errors of polynomial approximations defined by interpolation and by least squares criteria. Zbl 0147.14305
Powell, M. J. D.
32
1967
Least Frobenius norm updating of quadratic models that satisfy interpolation conditions. Zbl 1146.90526
Powell, M. J. D.
32
2004
On the estimation of sparse Hessian matrices. Zbl 0426.65025
Powell, M. J. D.; Toint, Ph. L.
31
1979
How bad are the BFGS and DFP methods when the objective function is quadratic? Zbl 0581.90068
Powell, M. J. D.
30
1986
A method for minimizing a sum of squares of non-linear functions without calculating derivatives. Zbl 0142.11601
Powell, M. J. D.
29
1965
On trust region methods for unconstrained minimization without derivatives. Zbl 1106.90382
Powell, M. J. D.
25
2003
A review of methods for multivariable interpolation at scattered data points. Zbl 0881.65003
Powell, M. J. D.
24
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
Some convergence properties of the conjugate gradient method. Zbl 0356.65056
Powell, M. J. D.
21
1976
A tolerant algorithm for linearly constrained optimization calculations. Zbl 0695.90084
Powell, M. J. D.
21
1989
Recent advances in unconstrained optimization. Zbl 0228.90042
Powell, M. J. D.
19
1971
Variable metric methods for constrained optimization. Zbl 0413.90065
Powell, M. J. D.
18
1979
Recent research at Cambridge on radial basis functions. Zbl 0958.41501
Powell, M. J. D.
18
1999
Updating conjugate directions by the BFGS formula. Zbl 0642.90086
Powell, M. J. D
16
1987
Radial basis function methods for interpolation to functions of many variables. Zbl 1026.65009
Powell, M. J. D.
15
2002
A note on quasi-Newton formulae for sparse second derivative matrices. Zbl 0453.90081
Powell, M. J. D.
15
1981
Variable metric methods for constrained optimization. Zbl 0536.90076
Powell, M. J. D.
14
1983
A survey of numerical methods for unconstrained optimization. Zbl 0193.13801
Powell, M. J. D.
14
1970
Radial basis function interpolation on an infinite regular grid. Zbl 0749.41002
Buhmann, M. D.; Powell, M. J. D.
13
1990
On the convergence of trust region algorithms for unconstrained minimization without derivatives. Zbl 1284.90096
Powell, M. J. D.
13
2012
The convergence of variable metric matrices in unconstrained optimization. Zbl 0532.49015
Ge, Renpu; Powell, M. J. D.
12
1983
Quadratic termination properties of minimization algorithms. I: Statement and discussion of results. II: Proofs of theorems. Zbl 0254.65047
Powell, M. J. D.
12
1972
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
Least squares smoothing of univariate data to achieve piecewise monotonicity. Zbl 0726.65008
Demetriou, I. C.; Powell, M. J. D.
11
1991
A ‘taut-string algorithm’ for straightening a piecewise linear path in two dimensions. Zbl 0908.65007
Powell, M. J. D.
10
1998
General algorithms for discrete nonlinear approximation calculations. Zbl 0545.65047
Powell, M. J. D.
9
1983
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 the A-acceptability of rational approximations that interpolate the exponential function. Zbl 0472.41013
Iserles, A.; Powell, M. J. D.
9
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 fast trust region methods for quadratic models with linear constraints. Zbl 1325.65084
Powell, M. J. D.
9
2015
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.
9
1999
On applying Householder transformations to linear least squares problems. Zbl 0194.47002
Powell, M. J. D.; Reid, J. K.
8
1969
On the use of quadratic models in unconstrained minimization without derivatives. Zbl 1140.90513
Powell, M. J. D.
8
2004
A Krylov subspace algorithm for multiquadric interpolation in many dimensions. Zbl 1070.65006
Faul, A. C.; Goodsell, G.; Powell, M. J. D.
8
2005
Univariate multiquadric interpolation: Some recent results. Zbl 0753.41003
Powell, M. J. D.
7
1991
Univariate multiquadric approximation: Reproduction of linear polynomials. Zbl 0707.41008
Powell, M. J. D.
7
1990
Rank one methods for unconstrained optimization. Zbl 0334.90052
Powell, M. J. D.
7
1970
The minimum sum of squares change to univariate data that gives convexity. Zbl 0726.65009
Demetriou, I. C.; Powell, M. J. D.
7
1991
Quadratic termination properties of Davidon’s new variable metric algorithm. Zbl 0399.90085
Powell, M. J. D.
7
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
Weighted uniform sampling - a Monte Carlo technique for reducing variance. Zbl 0144.42001
Powell, M. J. D.; Swann, J.
7
1966
On the convergence of the DFP algorithm for unconstrained optimization when there are only two variables. Zbl 0964.65068
Powell, M. J. D.
6
2000
On error growth in the Bartels-Golub and Fletcher-Matthews algorithms for updating matrix factorizations. Zbl 0633.65052
Powell, M. J. D.
6
1987
Karmarkar’s algorithm: A view from nonlinear programming. Zbl 0711.90052
Powell, M. J. D.
6
1990
Tabulation of thin plate splines on a very fine two-dimensional grid. Zbl 0813.65014
Powell, M. J. D.
6
1992
Truncated Laurent expansions for the fast evaluation of thin plate splines. Zbl 0790.65010
Powell, M. J. D.
6
1993
Fast evaluation of polyharmonic splines in three dimensions. Zbl 1127.65011
Beatson, R. K.; Powell, M. J. D.; Tan, A. M.
6
2007
Some algorithms for thin plate spline interpolation to functions of two variables. Zbl 0839.65004
Powell, M. J. D.
6
1994
An algorithm for maximizing entropy subject to simple bounds. Zbl 0649.90086
Powell, M. J. D.
6
1988
On the Lagrange functions of quadratic models that are defined by interpolation. Zbl 1027.90091
Powell, M. J. D.
6
2001
Krylov subspace methods for radial basis function interpolation. Zbl 0952.65012
Faul, A. C.; Powell, M. J. D.
6
2000
Beyond symmetric Broyden for updating quadratic models in minimization without derivatives. Zbl 1266.65095
Powell, M. J. D.
6
2013
On best \(L_ 2\) spline approximations. Zbl 0176.14102
Powell, M. J. D.
6
1968
A review of algorithms for thin plate spline interpolation in two dimensions. Zbl 1273.65019
Powell, M. J. D.
6
1996
Radial basis function methods for interpolation to functions of many variables. Zbl 1048.65502
Powell, M. J. D.
5
2002
Data smoothing by divided differences. Zbl 0497.65005
Cullinan, M. P.; Powell, M. J. D.
5
1982
Variable metric methods for constrained optimization. Zbl 0453.90079
Powell, M. J. D.
5
1980
The local dependence of least squares cubic splines. Zbl 0183.44104
Powell, M. J. D.
5
1969
The differential correction algorithm for generalized rational functions. Zbl 0635.65013
Cheney, 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 0546.65031
Powell, M. J. D.; Yuan, Yaxiang
4
1984
The performance of two subroutines for constrained optimization on some difficult test problems. Zbl 0575.65065
Powell, M. J. D.
4
1985
On the number of iterations of Karmarkar’s algorithm for linear programming. Zbl 0804.90092
Powell, M. J. D.
4
1993
On nonlinear optimization since 1959. Zbl 1192.65084
Powell, M. J. D.
4
2010
On fast trust region methods for quadratic models with linear constraints. Zbl 1325.65084
Powell, M. J. D.
9
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.
6
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.
4
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.
35
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.
63
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.
32
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.
25
2003
UOBYQA: unconstrained optimization by quadratic approximation. Zbl 1014.65050
Powell, M. J. D.
70
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.
5
2002
On the Lagrange functions of quadratic models that are defined by interpolation. Zbl 1027.90091
Powell, M. J. D.
6
2001
On the convergence of the DFP algorithm for unconstrained optimization when there are only two variables. Zbl 0964.65068
Powell, M. J. D.
6
2000
Krylov subspace methods for radial basis function interpolation. Zbl 0952.65012
Faul, A. C.; Powell, M. J. D.
6
2000
Recent research at Cambridge on radial basis functions. Zbl 0958.41501
Powell, M. J. D.
18
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.
9
1999
Direct search algorithms for optimization calculations. Zbl 0911.65050
Powell, M. J. D.
46
1998
A ‘taut-string algorithm’ for straightening a piecewise linear path in two dimensions. Zbl 0908.65007
Powell, M. J. D.
10
1998
Trust region calculations revisited. Zbl 0903.65052
Powell, M. J. D.
2
1998
The use of band matrices for second derivative approximations in trust region algorithms. Zbl 0908.90241
Powell, M. J. D.
1
1998
A review of methods for multivariable interpolation at scattered data points. Zbl 0881.65003
Powell, M. J. D.
24
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.
6
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.
65
1994
The uniform convergence of thin plate spline interpolation in two dimensions. Zbl 0812.41005
Powell, M. J. D.
43
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.
2
1993
The theory of radial basis function approximation in 1990. Zbl 0787.65005
Powell, M. J. D.
167
1992
Univariate multiquadric approximation: Quasi-interpolation to scattered data. Zbl 0763.41012
Beatson, R. K.; Powell, M. J. D.
65
1992
Tabulation of thin plate splines on a very fine two-dimensional grid. Zbl 0813.65014
Powell, M. J. D.
6
1992
The complexity of Karmarkar’s algorithm for linear programming. Zbl 0809.65056
Powell, M. J. D.
2
1992
Log barrier methods for semi-infinite programming calculations. Zbl 0814.90117
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.
11
1991
Univariate multiquadric interpolation: Some recent results. Zbl 0753.41003
Powell, M. J. D.
7
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
81
1990
Radial basis function interpolation on an infinite regular grid. Zbl 0749.41002
Buhmann, M. D.; Powell, M. J. D.
13
1990
Univariate multiquadric approximation: Reproduction of linear polynomials. Zbl 0707.41008
Powell, M. J. D.
7
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.
21
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.
4
1988
A review of algorithms for nonlinear equations and unconstrained optimization. Zbl 0665.65054
Powell, M. J. D.
2
1988
Radial basis function approximations to polynomials. Zbl 0652.41002
Powell, M. J. D.
1
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 functions for multivariable interpolation: a review. Zbl 0638.41001
Powell, M. J. D.
49
1987
Updating conjugate directions by the BFGS formula. Zbl 0642.90086
Powell, M. J. D
16
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
Convergence properties of algorithms for nonlinear optimization. Zbl 0624.90091
Powell, M. J. D.
58
1986
A recursive quadratic programming algorithm that uses differentiable exact penalty functions. Zbl 0598.90079
Powell, M. J. D.; Yuan, Yaxiang
43
1986
How bad are the BFGS and DFP methods when the objective function is quadratic? Zbl 0581.90068
Powell, M. J. D.
30
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.
84
1984
On the global convergence of trust region algorithms for unconstrained minimization. Zbl 0569.90069
Powell, M. J. D.
78
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.
14
1983
The convergence of variable metric matrices in unconstrained optimization. Zbl 0532.49015
Ge, Renpu; Powell, M. J. D.
12
1983
General algorithms for discrete nonlinear approximation calculations. Zbl 0545.65047
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.
95
1982
Data smoothing by divided differences. Zbl 0497.65005
Cullinan, 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 0453.41001
Powell, M. J. D.
187
1981
A note on quasi-Newton formulae for sparse second derivative matrices. Zbl 0453.90081
Powell, M. J. D.
15
1981
On the A-acceptability of rational approximations that interpolate the exponential function. Zbl 0472.41013
Iserles, A.; Powell, M. J. D.
9
1981
On a decomposition of conditionally positive-semidefinite matrices. Zbl 0492.15009
Martin, D. H.; Powell, M. J. D.; Jacobson, D. H.
9
1981
An example of cycling in a feasible point algorithm. Zbl 0462.90062
Powell, M. J. D.
3
1981
The Shanno-Toint procedure for updating sparse symmetric matrices. Zbl 0482.65034
Powell, M. J. D.; Toint, Ph. L.
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.
5
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.
31
1979
Variable metric methods for constrained optimization. Zbl 0413.90065
Powell, M. J. D.
18
1979
A fast algorithm for nonlinearly constrained optimization calculations. Zbl 0374.65032
Powell, M. J. D.
131
1978
Algorithms for nonlinear constraints that use Lagrangian functions. Zbl 0383.90092
Powell, M. J. D.
71
1978
The convergence of variable metric methods for nonlinearly constrained optimization calculations. Zbl 0464.65042
Powell, M. J. D.
64
1978
Piecewise quadratic approximations on triangles. Zbl 0375.41010
Powell, M. J. D.; Sabin, M. A.
183
1977
Restart procedures for the conjugate gradient method. Zbl 0396.90072
Powell, M. J. D.
150
1977
Quadratic termination properties of Davidon’s new variable metric algorithm. Zbl 0399.90085
Powell, M. J. D.
7
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
Some global convergence properties of a variable metric algorithm for minimization without exact line searches. Zbl 0338.65038
Powell, M. J. D.
105
1976
Some convergence properties of the conjugate gradient method. Zbl 0356.65056
Powell, M. J. D.
21
1976
Optimal interpolation. Zbl 0317.65002
Gaffney, P. W.; Powell, M. J. D.
9
1976
Convergence properties of a class of minimization algorithms. Zbl 0321.90045
Powell, M. J. D.
42
1975
...and 30 more Documents
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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
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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
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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)

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