@article{RO_1997__31_3_269_0,
author = {Mart{\'\i}nez, Jos\'e Mario and Santos, Sandra Augusta},
title = {New convergence results on an algorithm for norm constrained regularization and related problems},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {269--294},
publisher = {EDP-Sciences},
volume = {31},
number = {3},
year = {1997},
mrnumber = {1462321},
zbl = {0887.90160},
language = {en},
url = {http://archive.numdam.org/item/RO_1997__31_3_269_0/}
}
TY - JOUR AU - Martínez, José Mario AU - Santos, Sandra Augusta TI - New convergence results on an algorithm for norm constrained regularization and related problems JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 1997 SP - 269 EP - 294 VL - 31 IS - 3 PB - EDP-Sciences UR - http://archive.numdam.org/item/RO_1997__31_3_269_0/ LA - en ID - RO_1997__31_3_269_0 ER -
%0 Journal Article %A Martínez, José Mario %A Santos, Sandra Augusta %T New convergence results on an algorithm for norm constrained regularization and related problems %J RAIRO - Operations Research - Recherche Opérationnelle %D 1997 %P 269-294 %V 31 %N 3 %I EDP-Sciences %U http://archive.numdam.org/item/RO_1997__31_3_269_0/ %G en %F RO_1997__31_3_269_0
Martínez, José Mario; Santos, Sandra Augusta. New convergence results on an algorithm for norm constrained regularization and related problems. RAIRO - Operations Research - Recherche Opérationnelle, Tome 31 (1997) no. 3, pp. 269-294. http://archive.numdam.org/item/RO_1997__31_3_269_0/
1. and , Generalization of the Wolfe reduced-gradient method to the case of nonlinear constraints, in Optimization, R. Fletcher (Ed.), Academic Press, London, 1969. | MR | Zbl
2. and , On the identification properties of a trust-region algorithm on domains given by nonlinear inequalities, Relatório Técnico, Instituto de Matemática, Universidade Estadual de Campinas, Brazil 1995.
3. , and , On the local convergence of quasi-Newton methods for constrained optimization, SIAM Journal on Control and Optimization, 1982, 20, pp. 161-171. | MR | Zbl
4. , and , A trust region strategy for nonlinear equality constrained optimization, in Numerical Optimization, (P. T. Boggs, R. Byrd and R. Schnabel, eds.), SIAM, Philadelphia, 1984, pp. 71-82. | MR | Zbl
5. , and , Global convergence of a class of trust region algorithms for optimization with simple bounds, SIAM Journal on Numerical Analysis, 1988, 25, pp. 433-460. See also SIAM Journal on Numerical Analysis, 1989, 26, pp. 764-767. | MR | Zbl
6. , A global convergence theory for the Celis-Dennis-Tapia trust region algorithm for constrained optimization, SIAM Journal on Numerical Analysis, 1991, 28, pp. 266-290. | MR | Zbl
7. , Practical Methods of Optimization, (2nd edition), John Wiley and Sons, Chichester, New York, Brisbane, Toronto and Singapore, 1987. | MR | Zbl
8. , and , A new algorithm for bound constrained minimization, Journal of Applied Mathematics and Optimization, 1994, 30, pp. 235-266. | MR | Zbl
9. , Computing optimal locally constrained steps, SIAM J. Sci. Stat. Comput., 1981, 2, pp. 186-197. | MR | Zbl
10. , Mesh independence for nonlinear least squares problems with norm constraints, SIAM Journal on Optimization, 1993, 3, pp. 81-117. | MR | Zbl
11. , Reduced gradient methods, in Nonlinear Optimization 1981, 1982, edited by M. J. D. Powell, Academic Press, New York, pp. 235-242. | MR | Zbl
12. , Linear and Nonlinear Programming, Addison Wesley, 1984. | Zbl
13. and , Local minima of the trust-region problem, Journal of Optimization Theory an Applications, 1994, 80, pp. 117-134. | MR | Zbl
14. , Fixed-point quasi-Newton methods, SIAM Journal on Numerical Analysis, 1992, 5, pp. 1413-1434. | MR | Zbl
15. , Local minimizers of quadratic functions on Euclidean balls and spheres, SIAM Journal on Optimization, 1994, 4, pp. 159-176. | MR | Zbl
16. and , A trust-region strategy for minimization on arbitrary domains, Mathematical Programming, 1995, 68, pp. 267-301. | MR | Zbl
17. , Recent developments in algorithms and software for trust region methods, in Mathematical Programming Bonn 1982. The State of Art, A. Bachem, M. Grötschel and B. Korte, eds., Springer-Verlag, 1983. | MR | Zbl
18. , Generalizations of the trust-region Problem, Optimization Methods and Software, 1993, 2, pp. 189-209.
19. and , Computing a trust region step, SIAM Journal on Scientific and Statistical Computing, 1983, 4, pp. 553-572. | MR | Zbl
20. and , A trust region algorithm for equality constrained optimization, Mathematical Programming, 1991, 49, pp. 189-211. | MR | Zbl
21. and , Indefinite trust region subproblems and nonsymmetric eigenvalue perturbations, Technical Report SOR 93-1, School of Engineering and Applied Science, Department of Civil Engineering and Operations Research, Princeton University, 1993. | MR | Zbl
22. , Newton's method with a model trust region modification, SIAM Journal on Numerical Analysis, 1982, 19, pp. 409-426. | MR | Zbl
23. and , Solutions of ill-posed problems, John Wiley and Sons, New York, Toronto, London, 1977. | MR | Zbl
24. , A constrained least-squares regularization method for nonlinear ill-posed problems, SIAM Journal on Control and Optimization, 1990, 28, pp. 34-49. | MR | Zbl
25. , On the resolution of the trust region problem, Communication at the NATO-ASI Meeting on Continuons Optimization, II Ciocco, Italy, September 1993, 1993.
