On the stability of linear systems with an exact constraint set

Mathematical Methods of Operations Research

Volumn 63, Issue 1, 2006, Pages 107-121

  Amaya, Jorge ^a   Goberna, Miguel A ^b  

^a Laboratory of Bioinformatics and Mathematics of Genome   (Chile)

^b UNIVERSITY OF ALICANTE   (Spain)

Author keywords

Linear programming; Linear semi infinite programming; Linear systems; Stability

Indexed keywords

CONSTRAINT THEORY; LINEAR PROGRAMMING; PERTURBATION TECHNIQUES; SET THEORY;

BOOLEAN PROGRAMMING; CONSTRAINT SET; LINEAR SEMI-INFINITE PROGRAMMING;

LINEAR SYSTEMS;

EID: 32044470242     PISSN: 14322994     EISSN: 14325217     Source Type: Journal    
DOI: 10.1007/s00186-005-0030-8     Document Type: Article

References (13)

1. Bank B, Guddat J, Klatte D, Kummer B, Tammer K (1983) Non-linear parametric optimization. Birkhäuser Verlag, Basel
2. Cánovas MJ, Lopez MA, Parra J (2002) Upper semicontinuity of the feasible set mapping for linear inequality systems. Set-Valued Anal 10:361-378
3. Goberna MA, Jeyakumar V, Dinh N (2004) Dual characterizations of set containments with strict convex inequalities. J Global Optim (to appear)
4. Goberna MA, Larriqueta M, Vera de Serio VN (2003) On the stability of the boundary of the feasible set in linear optimization. Set-Valued Anal 11:203-223
5. Goberna MA, López MA (1998) Linear semi-infinite optimization. Wiley, Chichester
6. Goberna MA, López MA, Todorov MI (1996) Stability theory for linear inequality systems. SIAM J Matrix Anal Appl 17:730-743
7. Goberna MA, López MA, Todorov MI (1997) Stability theory for linear inequality systems II: upper semicontinuity of the solution set mapping. SIAM J Optim 7:1138-1151
8. Jongen HT, Rückmann, J-J (1998) On stability and deformation in semi-infinite optimization. In: Reemtsen R, Rückmann J-J (eds) Semi-infinite programming. Kluwer, Dordrecht, pp 29-67
9. Jongen HT, Twilt F, Weber G-H (1992) Semi-infinite optimization: structure and stability of the feasible set. J Optim Theory Appl 72:529-552
10. Klatte D, Henrion R (1998) Regularity and stability in nonlinear semi-infinite optimization. In: Reemtsen R, Rückmann J-J (eds) Semi-infinite programming. Kluwer, Dordrecht, pp 69-102
11. Klatte D, Li W (1999) Asymptotic constraint qualifications and global error bounds for convex inequalities. Math Program 84:137-160
12. Rockafellar T, Wets R (1998) Variational analysis. Springer, Berlin, Heidelberg New York
13. Zhu YJ (1966) Generalizations of some fundamental theorems on linear inequalities. Acta Math Sinica 16:25-40