Towards Tikhonov regularization of non-linear ill-posed problems: A dc programming approach;Vers la régularisation de Tikhonov pour des problèmes non linéaires mal posés: Une approche en optimisation dc

Comptes Rendus Mathematique

Volumn 335, Issue 12, 2002, Pages 1073-1078

  Hoai An, Le Thi ^a   Dinh Tao, Pham ^a   Nho Hào, Dinh ^b,c  

^a UNIVERSITÉ ET INSA DE ROUEN   (France)

^b INSTITUTE OF MATHEMATICS   (Viet Nam)

^c VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038729435     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(02)02611-0     Document Type: Article

References (14)

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3. V. Dicken, Simultaneous activity and attennuation reconstruction in single photon emission computed tomography, a non-linear ill-posed problem, Ph.D. thesis, Universität Potsdam, 1997.
4. Dinh Nho Hào, Methods for Inverse Heat Conduction Problems, Peter Lang, Frankfurt am Main, 1998.
5. Le Thi Hoai An, Contribution à l'optimisation non convexe et l'optimisation globale : Théorie, algorithmes et applications, Habilitation à Diriger des Recherches, Université de Rouen, 1997.
6. Le Thi Hoai An, Pham Dinh Tao, Dinh Nho Hào, D.c. programming approach to Tikhonov regularization for non-linear ill-posed problems, Preprint, 2001.
7. Le Thi Hoai An, Pham Dinh Tao, Dinh Nho Hào, Solving an inverse problem for an elliptic equation by d.c. programming. J. Global Optimization, 2001, to appear.
8. Pham Dinh Tao, E.B. Souad, Algorithms for solving a class of non convex optimization problems. Methods of subgradients, in: Fermat Days 85. Mathematics for Optimization, Elsevier, North-Holland, 1986, pp. 249-270.
9. Pham Dinh Tao, E.B. Souad, Duality in d.c. (difference of convex functions) optimization. Subgradient methods, in: Trends in Mathematical Optimization, in: Internat. Ser. Numer Math., Vol. 84, Birkhäuser, 1988, pp. 277-293.
10. Pham Dinh Tao, Le Thi Hoai An, D.c. optimization algorithms for solving the trust region subproblem, SIAM J. Optimization 8 (1998) 476-505.
11. Pham Dinh Tao, Le Thi Hoai An, Convex analysis approach to d.c. programming: Theory, Algorithms and Applications, Acta Math. Vietnam. 22 (1) (1997) 289-355.
12. Le Thi Hoai An, Pham Dinh Tao, Large scale global molecular optimization from exact distance matrices by a d.c. optimization approach, revised version in SIAM J. Optim., 2002.
13. Le Thi Hoai An, Pham Dinh Tao, The dc (difference of convex functions) programming and DCA revisited with dc models of real world nonconvex optimization problems, 2002, submitted.
14. A.N. Tikhonov, A.S. Leonov, A.G. Yagola, Non-Linear I11-Posed Problems, Vols. 1, 2, Chapman and Hall, London, 1998.