Remarks on the Newton method for solving nonlinear equality constrained optimization problems
RAIRO - Operations Research - Recherche Opérationnelle, Tome 24 (1990) no. 3, pp. 287-294. 
@article{RO_1990__24_3_287_0,
     author = {K\"orner, Frank},
     title = {Remarks on the {Newton} method for solving nonlinear equality constrained optimization problems},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {287--294},
     publisher = {EDP-Sciences},
     volume = {24},
     number = {3},
     year = {1990},
     mrnumber = {1075798},
     zbl = {0722.90070},
     language = {en},
     url = {http://www.numdam.org/item/RO_1990__24_3_287_0/}
}
TY  - JOUR
AU  - Körner, Frank
TI  - Remarks on the Newton method for solving nonlinear equality constrained optimization problems
JO  - RAIRO - Operations Research - Recherche Opérationnelle
PY  - 1990
SP  - 287
EP  - 294
VL  - 24
IS  - 3
PB  - EDP-Sciences
UR  - http://www.numdam.org/item/RO_1990__24_3_287_0/
LA  - en
ID  - RO_1990__24_3_287_0
ER  - 
%0 Journal Article
%A Körner, Frank
%T Remarks on the Newton method for solving nonlinear equality constrained optimization problems
%J RAIRO - Operations Research - Recherche Opérationnelle
%D 1990
%P 287-294
%V 24
%N 3
%I EDP-Sciences
%U http://www.numdam.org/item/RO_1990__24_3_287_0/
%G en
%F RO_1990__24_3_287_0
Körner, Frank. Remarks on the Newton method for solving nonlinear equality constrained optimization problems. RAIRO - Operations Research - Recherche Opérationnelle, Tome 24 (1990) no. 3, pp. 287-294. http://www.numdam.org/item/RO_1990__24_3_287_0/

1. A. R. Conn and N. I. M. Gould, On the Location of Indefinite Descent for Nonlinear Programming Algorithm, SIAM J. Num. Anal, 1984, 21 pp. 1162-1179. | MR | Zbl

2. A. L. Dontchev and H. Th. Jongen, On the Regularity of the Kuhn-Tucker Curve, SIAM J. Control Optimization 1986, 24, pp. 169-176. | MR | Zbl

3. R. Fletcher, Practical Methods of Optimization, John Wïley, Chichester, 1981. | MR | Zbl

4. S. P. Han, A Hybrid Method for Nonlinear Programming, Nonlinear Programming 3, Academic Press, New York, 1978, pp. 65-95. | MR | Zbl

5. H. Th. Jongen, T. Möbert and K. Tammer, On Iterated Minimization in Nonconvex Optimization, Report 488, Twente University of Technology, N. L. | Zbl

6. A. Kielbasinski and H. Schwetlick, Numerische Lineare Algebra, Dt. Verlag d. Wiss., Berlin, 1988. | MR | Zbl

7. F. Körner and B. Luderer, A Simultaneous Method for Checking Second-Order Kuhn-Tucker Conditions for Equality Constrained Nonlinear Programming Problems, Syst. Anal. Sim. Mod., 1988, 5, pp. 51-57. | MR | Zbl

8. F. Körner, Remarks on Second-Order Conditions in Connection with the Algorithm of Beale for Quadratic Programming, Europ. J. Oper. Res., 1989, 40, pp. 85-89. | MR | Zbl

9. G. P. Mccormick, Nonlinear Programming. Theory, Algorithms, and Applications, John Wiley, Chichester, 1983. | MR | Zbl

10. H. Schwetlick, Numerische Lösung nichtlinearer Gleichungssysteme, Dt. Verlagd. Wiss., Berlin, 1979. | MR | Zbl

11. A. Shapiro, Second-Order Derivatives of Extremal-Value Functions and Optimality Conditions for Semi-Infinite Programs, Math. Oper. Res., 1985,10, pp. 207-219. | MR | Zbl

12. A. Shapiro, Second-Order Sensitivity Analysis and Asymptotic Theory of Parametrized Nonlinear Programs, Math. Prog., 1985, 33, pp. 280-299. | MR | Zbl

13. J. E. Spingarn and R. T. Rockafellar, The Generic Nature of Optimality Conditions in Nonlinear Programming, Math. Oper. Res., 1979, 40, pp. 425-430. | MR | Zbl