-
1
-
-
0001201545
-
The Lagrange-Newton method for infinite-dimensional optimization problems
-
W. ALT, The Lagrange-Newton method for infinite-dimensional optimization problems, Numer. Funct. Anal. Optim., 11 (1990), pp. 201-224.
-
(1990)
Numer. Funct. Anal. Optim.
, vol.11
, pp. 201-224
-
-
Alt, W.1
-
2
-
-
0020099933
-
On the local convergence of quasi-Newton methods for constrained optimization
-
P. T. BOGGS, J. W. TOLLE, AND P. WANG, On the local convergence of quasi-Newton methods for constrained optimization, SIAM J. Control Optim., 20 (1982), pp. 161-171.
-
(1982)
SIAM J. Control Optim.
, vol.20
, pp. 161-171
-
-
Boggs, P.T.1
Tolle, J.W.2
Wang, P.3
-
3
-
-
0000302437
-
On the local and superlinear convergence of quasi-Newton methods
-
C. G. BROYDEN, J. E. DENNIS, AND J. J. MORÉ, On the local and superlinear convergence of quasi-Newton methods, J. Inst. Math. Appl., 12 (1973), pp. 223-245.
-
(1973)
J. Inst. Math. Appl.
, vol.12
, pp. 223-245
-
-
Broyden, C.G.1
Dennis, J.E.2
Moré, J.J.3
-
4
-
-
0022075954
-
An example of irregular convergence in some constrained optimization methods that use the projected Hessian
-
R. H. BYRD, An example of irregular convergence in some constrained optimization methods that use the projected Hessian, Math. Programming, 32 (1985), pp. 232-237.
-
(1985)
Math. Programming
, vol.32
, pp. 232-237
-
-
Byrd, R.H.1
-
5
-
-
0025384985
-
On the convergence of constrained optimization methods with accurate Hessian information on a subspace
-
_, On the convergence of constrained optimization methods with accurate Hessian information on a subspace, SIAM J. Numer. Anal., 27 (1990), pp. 141-153.
-
(1990)
SIAM J. Numer. Anal.
, vol.27
, pp. 141-153
-
-
-
6
-
-
0001423485
-
A tool for the analysis of quasi- Newton methods with application to unconstrained minimization
-
R. H. BYRD AND J. NOCEDAL, A tool for the analysis of quasi-Newton methods with application to unconstrained minimization, SIAM J. Numer. Anal., 26 (1989), pp. 727-739.
-
(1989)
SIAM J. Numer. Anal.
, vol.26
, pp. 727-739
-
-
Byrd, R.H.1
Nocedal, J.2
-
7
-
-
0025791660
-
An analysis of reduced Hessian methods for constrained optimization
-
_, An analysis of reduced Hessian methods for constrained optimization, Math. Programming, 49 (1991), pp. 285-323.
-
(1991)
Math. Programming
, vol.49
, pp. 285-323
-
-
-
8
-
-
0022721846
-
Continuity of the null space basis and constrained optimization
-
R. H. BYRD AND R. B. SCHNABEL, Continuity of the null space basis and constrained optimization, Math. Programming, 35 (1986), pp. 32-41.
-
(1986)
Math. Programming
, vol.35
, pp. 32-41
-
-
Byrd, R.H.1
Schnabel, R.B.2
-
9
-
-
0021477252
-
On the local convergence of a quasi-Newton method for the nonlinear programming problem
-
T. F. COLEMAN AND A. R. CONN, On the local convergence of a quasi-Newton method for the nonlinear programming problem, SIAM J. Numer. Anal., 21 (1984), pp. 755-769.
-
(1984)
SIAM J. Numer. Anal.
, vol.21
, pp. 755-769
-
-
Coleman, T.F.1
Conn, A.R.2
-
10
-
-
0021451638
-
A note on the computation of an orthonormal basis for the null space of a matrix
-
T. F. COLEMAN AND D. C. SORENSEN, A note on the computation of an orthonormal basis for the null space of a matrix, Math. Programming, 29 (1984), pp. 234-242.
-
(1984)
Math. Programming
, vol.29
, pp. 234-242
-
-
Coleman, T.F.1
Sorensen, D.C.2
-
11
-
-
84966259557
-
A characterization of superlinear convergence and its application to quasi-Newton methods
-
J. E. DENNIS AND J. J. MORÉ, A characterization of superlinear convergence and its application to quasi-Newton methods, Math. Comp., 28 (1974), pp. 549-560.
-
(1974)
Math. Comp.
, vol.28
, pp. 549-560
-
-
Dennis, J.E.1
Moré, J.J.2
-
12
-
-
0000669027
-
Local convergence of secant methods for nonlinear constrained optimization
-
R. FONTECILLA, Local convergence of secant methods for nonlinear constrained optimization, SIAM J. Numer. Anal., 25 (1988), pp. 692-712.
-
(1988)
SIAM J. Numer. Anal.
, vol.25
, pp. 692-712
-
-
Fontecilla, R.1
-
13
-
-
0020145445
-
Minimizing a differentiable function over a differential manifold
-
D. GABAY, Minimizing a differentiable function over a differential manifold, J. Optim. Theory Appl., 37 (1982), pp. 177-219.
-
(1982)
J. Optim. Theory Appl.
, vol.37
, pp. 177-219
-
-
Gabay, D.1
-
14
-
-
0001837582
-
Reduced quasi-Newton methods with feasibility improvement for nonlinearly constrained optimization
-
_, Reduced quasi-Newton methods with feasibility improvement for nonlinearly constrained optimization, Math. Programming Study, 16 (1982), pp. 18-44.
-
(1982)
Math. Programming Study
, vol.16
, pp. 18-44
-
-
-
16
-
-
84936639469
-
Une méthode de quasi-Newton réduite en optimisation sous contraintes avec priorité à la restauration
-
A. Bensoussan and J. L. Lions, eds., Springer-Verlag, Heidelberg
-
_, Une méthode de quasi-Newton réduite en optimisation sous contraintes avec priorité à la restauration, in Proc. 7th Internat. Conf. Analysis and Optimization of Systems, A. Bensoussan and J. L. Lions, eds., Springer-Verlag, Heidelberg, 1986, pp. 40-53.
-
(1986)
Proc. 7th Internat. Conf. Analysis and Optimization of Systems
, pp. 40-53
-
-
-
17
-
-
0000183404
-
On the local and global convergence of a reduced quasi-Newton method
-
_, On the local and global convergence of a reduced quasi-Newton method, Optimization, 20 (1989), pp. 421-450.
-
(1989)
Optimization
, vol.20
, pp. 421-450
-
-
-
18
-
-
0022162615
-
Properties of a representation of a basis for the null space
-
P. E. GILL, W. MURRAY, M. A. SAUNDERS, G. W. STEWART, AND M. H. WRIGHT, Properties of a representation of a basis for the null space, Math. Programming, 33 (1985), pp. 172-186.
-
(1985)
Math. Programming
, vol.33
, pp. 172-186
-
-
Gill, P.E.1
Murray, W.2
Saunders, M.A.3
Stewart, G.W.4
Wright, M.H.5
-
19
-
-
0022162497
-
Newton's method for constrained optimization
-
J. GOODMAN, Newton's method for constrained optimization, Math. Programming, 33 (1985), pp. 162-171.
-
(1985)
Math. Programming
, vol.33
, pp. 162-171
-
-
Goodman, J.1
-
20
-
-
0002616361
-
Rates of convergence for secant methods on nonlinear problems in Hilbert space
-
Proc. Guanajuato, Mexico, 1984, J. P. Hennart, ed., Springer-Verlag, Heidelberg
-
A. GRIEWANK, Rates of convergence for secant methods on nonlinear problems in Hilbert space, in Numerical Analysis, Proc. Guanajuato, Mexico, 1984, J. P. Hennart, ed., Springer-Verlag, Heidelberg, 1986, pp. 138-157.
-
(1986)
Numerical Analysis
, pp. 138-157
-
-
Griewank, A.1
-
22
-
-
0000373474
-
Superlinearly convergent variable metric algorithms for general nonlinear programming problems
-
S.-P. HAN, Superlinearly convergent variable metric algorithms for general nonlinear programming problems, Math. Programming, 11 (1976), pp. 263-282.
-
(1976)
Math. Programming
, vol.11
, pp. 263-282
-
-
Han, S.-P.1
-
24
-
-
0011376357
-
Variants of the reduced Newton method for nonlinear equality constrained optimization problems
-
W. HOYER, Variants of the reduced Newton method for nonlinear equality constrained optimization problems, Optimization, 17 (1986), pp. 757-774.
-
(1986)
Optimization
, vol.17
, pp. 757-774
-
-
Hoyer, W.1
-
25
-
-
0011367847
-
Sequential quadratic programming for parameter identification problems
-
A. E. Jai and M. Amouroux, eds.
-
D. M. HWANG AND C. T. KELLEY, Sequential quadratic programming for parameter identification problems, in 5th Symp. Control of Distributed Parameter Systems, A. E. Jai and M. Amouroux, eds., 1989, pp. 105-109.
-
(1989)
5th Symp. Control of Distributed Parameter Systems
, pp. 105-109
-
-
Hwang, D.M.1
Kelley, C.T.2
-
27
-
-
0023451450
-
Quasi-Newton methods and unconstrained optimal control problems
-
C. T. KELLEY AND E. W. SACHS, Quasi-Newton methods and unconstrained optimal control problems, SIAM J. Control Optim., 25 (1987), pp. 1503-1516.
-
(1987)
SIAM J. Control Optim.
, vol.25
, pp. 1503-1516
-
-
Kelley, C.T.1
Sachs, E.W.2
-
28
-
-
0026370174
-
Pointwise quasi-Newton method for unconstrained optimal control problems, II
-
C. T. KELLEY, E. W. SACHS, AND B. WATSON, Pointwise quasi-Newton method for unconstrained optimal control problems, II, J. Optim. Theory Appl., 71 (1991), pp. 535-547.
-
(1991)
J. Optim. Theory Appl.
, vol.71
, pp. 535-547
-
-
Kelley, C.T.1
Sachs, E.W.2
Watson, B.3
-
29
-
-
34249922394
-
Sequential quadratic programming for certain parameter identification problems
-
C. T. KELLEY AND S. J. WRIGHT, Sequential quadratic programming for certain parameter identification problems, Math. Programming, 51 (1991), pp. 281-305.
-
(1991)
Math. Programming
, vol.51
, pp. 281-305
-
-
Kelley, C.T.1
Wright, S.J.2
-
30
-
-
0026963329
-
Reduced SQP methods for parameter identification problems
-
K. KUNISCH AND E. W. SACHS, Reduced SQP methods for parameter identification problems, SIAM J. Numer. Anal., 29 (1992), pp. 1793-1820.
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 1793-1820
-
-
Kunisch, K.1
Sachs, E.W.2
-
32
-
-
0001427240
-
A prospective look at SQP methods for semilinear parabolic control problems
-
Irsee 1990, K.-H. Hoffmann and W. Krabs, eds., Springer Lect. Notes in Control and Information Sciences
-
F.-S. KUPFER AND E. W. SACHS, A prospective look at SQP methods for semilinear parabolic control problems, in Optimal Control of Partial Differential Equations, Irsee 1990, K.-H. Hoffmann and W. Krabs, eds., Vol. 149, Springer Lect. Notes in Control and Information Sciences, 1991, pp. 143-157.
-
(1991)
Optimal Control of Partial Differential Equations
, vol.149
, pp. 143-157
-
-
Kupfer, F.-S.1
Sachs, E.W.2
-
33
-
-
0000453168
-
Numerical solution of a nonlinear parabolic control problem by a reduced SQP method
-
_, Numerical solution of a nonlinear parabolic control problem by a reduced SQP method, Comput. Optim. Appl., 1 (1992), pp. 113-135.
-
(1992)
Comput. Optim. Appl.
, vol.1
, pp. 113-135
-
-
-
35
-
-
0000570227
-
First and second order sufficient optimality conditions in mathematical programming and optimal control
-
H. MAURER, First and second order sufficient optimality conditions in mathematical programming and optimal control, Math. Programming Study, 14 (1981), pp. 163-177.
-
(1981)
Math. Programming Study
, vol.14
, pp. 163-177
-
-
Maurer, H.1
-
36
-
-
0022145863
-
Projected Hessian updating algrrithms for nonlinearly constrained optimization
-
J. NOCEDAL AND M. L. OVERTON, Projected Hessian updating algrrithms for nonlinearly constrained optimization, SIAM J. Numer. Anal., 22 (1985), pp. 821-850.
-
(1985)
SIAM J. Numer. Anal.
, vol.22
, pp. 821-850
-
-
Nocedal, J.1
Overton, M.L.2
-
37
-
-
0002336269
-
The convergence of variable metric methods for nonlinearly constrained optimization calculations
-
O. L. Mangasarian, R. R. Meyer, and S. M. Robinson, eds., Academic Press, New York
-
M. J. D. POWELL, The convergence of variable metric methods for nonlinearly constrained optimization calculations, in Nonlinear Programming 3, O. L. Mangasarian, R. R. Meyer, and S. M. Robinson, eds., Academic Press, New York, 1978, pp. 27-63.
-
(1978)
Nonlinear Programming
, vol.3
, pp. 27-63
-
-
Powell, M.J.D.1
-
39
-
-
85033735307
-
-
Tech. Report 87-4, Department of Mathematical Sciences, Rice University, Houston, TX
-
J. STOER AND R. A. TAPIA, The local convergence of sequential quadratic programming methods for solving nonlinear programs, Tech. Report 87-4, Department of Mathematical Sciences, Rice University, Houston, TX, 1987.
-
(1987)
The Local Convergence of Sequential Quadratic Programming Methods for Solving Nonlinear Programs
-
-
Stoer, J.1
Tapia, R.A.2
-
40
-
-
0000728589
-
Diagonalized multiplier methods and quasi-Newton methods for constrained optimization
-
R. A. TAPIA, Diagonalized multiplier methods and quasi-Newton methods for constrained optimization, J. Optim. Theory Appl., 22 (1977), pp. 135-194.
-
(1977)
J. Optim. Theory Appl.
, vol.22
, pp. 135-194
-
-
Tapia, R.A.1
-
41
-
-
0011363951
-
Quasi-Newton methods for equality constrained optimization: Equivalence of existing methods and a new implementation
-
O. L. Mangasarian, R. R. Meyer, and S. M. Robinson, eds., Academic Press, New York
-
_, Quasi-Newton methods for equality constrained optimization: Equivalence of existing methods and a new implementation, in Nonlinear Programming 3, O. L. Mangasarian, R. R. Meyer, and S. M. Robinson, eds., Academic Press, New York, 1978, pp. 125-164.
-
(1978)
Nonlinear Programming
, vol.3
, pp. 125-164
-
-
-
42
-
-
84966224209
-
On secant updates for use in general constrained optimization
-
_, On secant updates for use in general constrained optimization, Math. Comp., 51 (1988), pp. 181-202.
-
(1988)
Math. Comp.
, vol.51
, pp. 181-202
-
-
-
43
-
-
0022075312
-
An only 2-step q-superlinear convergence example for some algorithms that use reduced Hessian approximations
-
Y. YUAN, An only 2-step q-superlinear convergence example for some algorithms that use reduced Hessian approximations, Math. Programming, 32 (1985), pp. 224-231.
-
(1985)
Math. Programming
, vol.32
, pp. 224-231
-
-
Yuan, Y.1
-
44
-
-
84963294959
-
A trust region typed dogleg method for nonlinear optimization
-
J. ZHANG AND D. ZHU, A trust region typed dogleg method for nonlinear optimization, Optimization, 21 (1990), pp. 543-557.
-
(1990)
Optimization
, vol.21
, pp. 543-557
-
-
Zhang, J.1
Zhu, D.2
|