-
1
-
-
0012691880
-
On the local behavior of an interior point method for nonlinear programming
-
D. Griffiths and D. Higham, eds., Addison Wesley Longman, Reading, MA
-
R. H. BYRD, G. LIU, AND J. NOCEDAL, On the local behavior of an interior point method for nonlinear programming, in Numerical Analysis 1997, D. Griffiths and D. Higham, eds., Addison Wesley Longman, Reading, MA, 1997, pp. 37-56.
-
(1997)
Numerical Analysis 1997
, pp. 37-56
-
-
Byrd, R.H.1
Liu, G.2
Nocedal, J.3
-
2
-
-
0000317378
-
A primal-dual trust-region algorithm for non-convex nonlinear programming
-
A. R. CONN, N. I. M. GOULD, D. ORBAN, AND P. L. TOINT, A primal-dual trust-region algorithm for non-convex nonlinear programming, Math. Program. Ser. B, 87 (2000), pp. 215-249.
-
(2000)
Math. Program. Ser. B
, vol.87
, pp. 215-249
-
-
Conn, A.R.1
Gould, N.I.M.2
Orban, D.3
Toint, P.L.4
-
3
-
-
21344484303
-
A note on using alternative second-order models for the subproblems arising in barrier function methods for minimization
-
A. R. CONN, N. I. M. GOULD, AND P. L. TOINT, A note on using alternative second-order models for the subproblems arising in barrier function methods for minimization, Numer. Math., 68 (1994), pp. 17-33.
-
(1994)
Numer. Math.
, vol.68
, pp. 17-33
-
-
Conn, A.R.1
Gould, N.I.M.2
Toint, P.L.3
-
4
-
-
0030710754
-
On the number of inner iterations per outer iteration of a globally convergent algorithm for optimization with general nonlinear inequality constraints and simple bounds
-
A. R. CONN, N. I. M. GOULD, AND P. L. TOINT, On the number of inner iterations per outer iteration of a globally convergent algorithm for optimization with general nonlinear inequality constraints and simple bounds, Comput. Optim. Appl., 7 (1997), pp. 41-70.
-
(1997)
Comput. Optim. Appl.
, vol.7
, pp. 41-70
-
-
Conn, A.R.1
Gould, N.I.M.2
Toint, P.L.3
-
5
-
-
0000134828
-
Numerical stability and efficiency of penalty algorithms
-
J.-P. DUSSAULT, Numerical stability and efficiency of penalty algorithms, SIAM J. Numer. Anal., 32 (1995), pp. 296-317.
-
(1995)
SIAM J. Numer. Anal.
, vol.32
, pp. 296-317
-
-
Dussault, J.-P.1
-
6
-
-
0012126939
-
Nonlinear programming: Sequential unconstrained minimization techniques
-
J. Wiley and Sons, Chichester, England, Reprinted as SIAM, Philadelphia
-
A. V. FIACCO AND G. P. MCCORMICK, Nonlinear Programming: Sequential Unconstrained Minimization Techniques, J. Wiley and Sons, Chichester, England, 1968. Reprinted as Classics Appl. Math. 4, SIAM, Philadelphia, 1990.
-
(1968)
Classics Appl. Math.
, vol.4
-
-
Fiacco, A.V.1
McCormick, G.P.2
-
7
-
-
0002688960
-
A primal-dual interior method for nonconvex nonlinear programming
-
Y. Yuan, ed., Kluwer, Dordrecht, the Netherlands
-
D. M. GAY, M. L. OVERTON, AND M. H. WRIGHT, A primal-dual interior method for nonconvex nonlinear programming, in Advances in Nonlinear Programming, Y. Yuan, ed., Kluwer, Dordrecht, the Netherlands, 1998, pp. 31-56.
-
(1998)
Advances in Nonlinear Programming
, pp. 31-56
-
-
Gay, D.M.1
Overton, M.L.2
Wright, M.H.3
-
8
-
-
0004240547
-
-
Academic Press, London
-
P. E. GILL, W. MURRAY, AND M. H. WRIGHT, Practical Optimization, Academic Press, London, 1981.
-
(1981)
Practical Optimization
-
-
Gill, P.E.1
Murray, W.2
Wright, M.H.3
-
9
-
-
0022061431
-
On practical conditions for the existence and uniqueness of solutions to the general equality quadratic-programming problem
-
N. I. M. GOULD, On practical conditions for the existence and uniqueness of solutions to the general equality quadratic-programming problem, Math. Program., 32 (1985), pp. 90-99.
-
(1985)
Math. Program.
, vol.32
, pp. 90-99
-
-
Gould, N.I.M.1
-
10
-
-
0000976514
-
On the convergence of a sequential penalty function method for constrained minimization
-
N. I. M. GOULD, On the convergence of a sequential penalty function method for constrained minimization, SIAM J. Numer. Anal., 26 (1989), pp. 107-128.
-
(1989)
SIAM J. Numer. Anal.
, vol.26
, pp. 107-128
-
-
Gould, N.I.M.1
-
11
-
-
34250401063
-
Convergence bounds for nonlinear programming algorithms
-
R. MIFFLIN, Convergence bounds for nonlinear programming algorithms, Math. Program., 8 (1975), pp. 251-271.
-
(1975)
Math. Program.
, vol.8
, pp. 251-271
-
-
Mifflin, R.1
-
12
-
-
4243741458
-
-
Technical report, Operations Research and Engineering Department, George Mason University, Fairfax, VA
-
S. G. NASH AND A. SOFER, Why Extrapolation Helps in Barrier Methods, Technical report, Operations Research and Engineering Department, George Mason University, Fairfax, VA, 1998.
-
(1998)
Why Extrapolation Helps in Barrier Methods
-
-
Nash, S.G.1
Sofer, A.2
-
14
-
-
0039012282
-
-
Technical report CRPC-TR98770-S, Department of Computational and Applied Mathematics, Rice University, Houston, TX
-
M. C. VILLALOBOS, R. A. TAPIA, AND Y. ZHANG, The Local Behavior of Newton's Method on Two Equivalent Systems from Linear Programming, Technical report CRPC-TR98770-S, Department of Computational and Applied Mathematics, Rice University, Houston, TX, 1998.
-
(1998)
The Local Behavior of Newton's Method on Two Equivalent Systems from Linear Programming
-
-
Villalobos, M.C.1
Tapia, R.A.2
Zhang, Y.3
-
15
-
-
0003419778
-
-
Technical report TR9913, Department of Computational and Applied Mathematics, Rice University, Houston, TX
-
M. C. VILLALOBOS, R. A. TAPIA, AND Y. ZHANG, The Sphere of Convergence of Newton's Method on Two Equivalent Systems from Nonlinear Programming, Technical report TR9913, Department of Computational and Applied Mathematics, Rice University, Houston, TX, 1999.
-
(1999)
The Sphere of Convergence of Newton's Method on Two Equivalent Systems from Nonlinear Programming
-
-
Villalobos, M.C.1
Tapia, R.A.2
Zhang, Y.3
-
16
-
-
84971922797
-
Interior methods for constrained optimization
-
M. H. WRIGHT, Interior methods for constrained optimization, Acta Numer., 1 (1992), pp. 341-407.
-
(1992)
Acta Numer.
, vol.1
, pp. 341-407
-
-
Wright, M.H.1
-
17
-
-
0002565930
-
Why a pure primal Newton barrier step may be infeasible
-
M. H. WRIGHT, Why a pure primal Newton barrier step may be infeasible, SIAM J. Optim., 5 (1995), pp. 1-12.
-
(1995)
SIAM J. Optim.
, vol.5
, pp. 1-12
-
-
Wright, M.H.1
-
18
-
-
0001925447
-
The interior-point revolution in constrained optimization
-
R. DeLeone, A. Murli, P. Pardalos, and G. Toraldo, eds., Kluwer, Dordrecht, the Netherlands
-
M. H. WRIGHT, The interior-point revolution in constrained optimization, in High Performance Algorithms and Software in Nonlinear Optimization, R. DeLeone, A. Murli, P. Pardalos, and G. Toraldo, eds., Kluwer, Dordrecht, the Netherlands, 1998, pp. 359-381.
-
(1998)
High Performance Algorithms and Software in Nonlinear Optimization
, pp. 359-381
-
-
Wright, M.H.1
-
20
-
-
0012682817
-
The role of linear objective functions in barrier methods
-
S. J. WRIGHT AND F. JARRE, The role of linear objective functions in barrier methods, Math. Program., 84 (1999), pp. 357-373.
-
(1999)
Math. Program.
, vol.84
, pp. 357-373
-
-
Wright, S.J.1
Jarre, F.2
-
21
-
-
0039012281
-
Local convergence of the Newton/log-barrier method for degenerate problems
-
Technical report ANL/MCS-P772-0799, Argonne National Laboratory, Argonne, IL, submitted to
-
S. J. WRIGHT AND D. ORBAN, Local Convergence of the Newton/Log-Barrier Method for Degenerate Problems, Technical report ANL/MCS-P772-0799, Argonne National Laboratory, Argonne, IL, 1999, submitted to Math. Oper. Res.
-
(1999)
Math. Oper. Res.
-
-
Wright, S.J.1
Orban, D.2
-
22
-
-
0010908414
-
Q-superlinear convergence of primal-dual interior point quasiNewton methods for constrained optimization
-
H. YABE AND H. YAMASHITA, Q-superlinear convergence of primal-dual interior point quasiNewton methods for constrained optimization, J. Oper. Res. Soc. Japan, 40 (1997), pp. 415-436.
-
(1997)
J. Oper. Res. Soc. Japan
, vol.40
, pp. 415-436
-
-
Yabe, H.1
Yamashita, H.2
-
23
-
-
0000273506
-
Superlinear and quadratic convergence of some primal-dual interior point methods for constrained optimization
-
H. YAMASHITA AND H. YABE, Superlinear and quadratic convergence of some primal-dual interior point methods for constrained optimization, Math. Program. Ser. A, 75 (1996), pp. 377-397.
-
(1996)
Math. Program. Ser. A
, vol.75
, pp. 377-397
-
-
Yamashita, H.1
Yabe, H.2
|