-
1
-
-
84968510937
-
A class of methods for solving nonlinear simultaneous equations
-
C.G. Broyden, A class of methods for solving nonlinear simultaneous equations, Math. Comp. 19 (1965) 577-593.
-
(1965)
Math. Comp.
, vol.19
, pp. 577-593
-
-
Broyden, C.G.1
-
2
-
-
0041093809
-
A trust region strategy for nonlinear equality constrained optimization
-
J.E. Celis, M.R. Dennis and R.A. Tapia, A trust region strategy for nonlinear equality constrained optimization, SIAM J. Numer. Anal. (1984).
-
(1984)
SIAM J. Numer. Anal.
-
-
Celis, J.E.1
Dennis, M.R.2
Tapia, R.A.3
-
4
-
-
0011359978
-
The use of linear programming for the solution of sparse sets of nonlinear equations
-
J. Duff, I.S. Nocedal and K. Reid, The use of linear programming for the solution of sparse sets of nonlinear equations, SIAM J. Sci. Statist. Comput. 8 (2) (1987) 99-108.
-
(1987)
SIAM J. Sci. Statist. Comput.
, vol.8
, Issue.2
, pp. 99-108
-
-
Duff, J.1
Nocedal, I.S.2
Reid, K.3
-
7
-
-
0003399336
-
-
Technical Report, Report R6799, Atomic Energy Research Establishment, Harwell, England
-
R. Fletcher, A modified Marquardt subroutine for nonlinear least squares, Technical Report, Report R6799, Atomic Energy Research Establishment, Harwell, England (1971).
-
(1971)
A Modified Marquardt Subroutine for Nonlinear Least Squares
-
-
Fletcher, R.1
-
8
-
-
0040499678
-
-
Harwell Subroutine Library, Technical Report, Harwell
-
R. Fletcher, Harwell Subroutine Library, Technical Report, Harwell (1997).
-
(1997)
-
-
Fletcher, R.1
-
13
-
-
0000135303
-
Methods of conjugate gradients for solving linear systems
-
M.R. Hestenes and E. Stiefel, Methods of conjugate gradients for solving linear systems, SIAM J. Sci. Statist. Comput. 49 (1952) 409-436.
-
(1952)
SIAM J. Sci. Statist. Comput.
, vol.49
, pp. 409-436
-
-
Hestenes, M.R.1
Stiefel, E.2
-
17
-
-
0000873069
-
A method for the solution of certain nonlinear problems in least squares
-
K. Levenberg, A method for the solution of certain nonlinear problems in least squares, Quart. Appl. Math. (2) (1944) 164-168.
-
(1944)
Quart. Appl. Math.
, vol.2
, pp. 164-168
-
-
Levenberg, K.1
-
18
-
-
0016940739
-
A comparison analysis of the Cuthill-Mckee and reverse Chuthill-Mckee ordering algorithms for sparse matrices
-
W. Liu and A.H. Sherman, A comparison analysis of the Cuthill-Mckee and reverse Chuthill-Mckee ordering algorithms for sparse matrices, SIAM J. Numer. Anal. 13 (1976) 198-213.
-
(1976)
SIAM J. Numer. Anal.
, vol.13
, pp. 198-213
-
-
Liu, W.1
Sherman, A.H.2
-
19
-
-
0005076683
-
Variables order Adams-Bashforth predictors with an error-step-size control for continuation methods
-
B.N. Lundberg and A.B. Poore, Variables order Adams-Bashforth predictors with an error-step-size control for continuation methods, SIAM J. Sci. Statist. Comput. 12 (3) (1991) 695-723.
-
(1991)
SIAM J. Sci. Statist. Comput.
, vol.12
, Issue.3
, pp. 695-723
-
-
Lundberg, B.N.1
Poore, A.B.2
-
20
-
-
0000169232
-
An algorithm for least squares estimation of nonlinear parameters
-
SIAM, Philadelphia, PA
-
D.W. Marquardt, An algorithm for least squares estimation of nonlinear parameters, in: SIAM Series of Applied Mathematics 11 (SIAM, Philadelphia, PA, 1963) 431-441.
-
(1963)
SIAM Series of Applied Mathematics
, vol.11
, pp. 431-441
-
-
Marquardt, D.W.1
-
21
-
-
0023568876
-
An algorithm for solving sparse nonlinear least-square problems
-
J.M. Martínez, An algorithm for solving sparse nonlinear least-square problems, Computing 39 (1987) 307-325.
-
(1987)
Computing
, vol.39
, pp. 307-325
-
-
Martínez, J.M.1
-
22
-
-
0025210263
-
An algorithm for solving nonlinear least-square problems with a new curvilinear search
-
J.M. Martínez and R.F. Santos, An algorithm for solving nonlinear least-square problems with a new curvilinear search, Computing 44 (1990) 83-90.
-
(1990)
Computing
, vol.44
, pp. 83-90
-
-
Martínez, J.M.1
Santos, R.F.2
-
23
-
-
0001362410
-
The Levenberg-Marquardt algorithm: Implementation and theory
-
G.A. Watson, ed., Springer, Berlin
-
J.J. Moré, The Levenberg-Marquardt algorithm: Implementation and theory, in: G.A. Watson, ed., Proc. of Dundee Conference on Numerical Analysis (Springer, Berlin, 1978).
-
(1978)
Proc. of Dundee Conference on Numerical Analysis
-
-
Moré, J.J.1
-
24
-
-
0003162836
-
Recent developments in algorithm and software for trust region methods
-
J.J. Moré, Recent developments in algorithm and software for trust region methods, Math. Programming (1983) 258-287.
-
(1983)
Math. Programming
, pp. 258-287
-
-
Moré, J.J.1
-
26
-
-
0023966370
-
The expanded Lagrangian system for constrained optimization problems
-
A.B. Poore and Q. Al-Hassan, The expanded Lagrangian system for constrained optimization problems, SIAM J. Control Optim. 26 (1988) 417-427.
-
(1988)
SIAM J. Control Optim.
, vol.26
, pp. 417-427
-
-
Poore, A.B.1
Al-Hassan, Q.2
-
32
-
-
0039314403
-
-
Master's Thesis, Department of System Design Eng., University of Waterloo, Waterloo, Ontario
-
A.P. Singh, A trust region method for large-scale engineering optimization problems using barrier/potential models, Master's Thesis, Department of System Design Eng., University of Waterloo, Waterloo, Ontario (1993).
-
(1993)
A Trust Region Method for Large-scale Engineering Optimization Problems Using Barrier/Potential Models
-
-
Singh, A.P.1
-
34
-
-
0027911607
-
Symmetric indefinite systems for interior point methods
-
R.J. Vanderbei and T.J. Carpenter, Symmetric indefinite systems for interior point methods, Math. Programming 58 (1993) 1-32.
-
(1993)
Math. Programming
, vol.58
, pp. 1-32
-
-
Vanderbei, R.J.1
Carpenter, T.J.2
-
36
-
-
0022076594
-
A trust region algorithm for equality constrained minimization: Convergence properties and implementation
-
A. Vardi, A trust region algorithm for equality constrained minimization: Convergence properties and implementation, SIAM J. Numer. Anal. 22 (3) (1985).
-
(1985)
SIAM J. Numer. Anal.
, vol.22
, Issue.3
-
-
Vardi, A.1
-
38
-
-
0040848860
-
-
Technical Report, Computing Sciences Research Center, Bell Laboratories, Murray Hill, NJ
-
M.H. Wright, III-conditioning and computational error in interior methods for nonlinear programming, Technical Report, Computing Sciences Research Center, Bell Laboratories, Murray Hill, NJ (1997).
-
(1997)
III-conditioning and Computational Error in Interior Methods for Nonlinear Programming
-
-
Wright, M.H.1
-
39
-
-
0008975068
-
A new complexity result on the minimization of a quadratic function with a sphere constraint
-
Technical Report, Princeton University
-
Y. Ye, A new complexity result on the minimization of a quadratic function with a sphere constraint, Technical Report, Princeton University, in: Recent Advances in Global Optimization (1992).
-
(1992)
Recent Advances in Global Optimization
-
-
Ye, Y.1
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