Second-order sufficient condition for -stable functions
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2007)
- Volume: 46, Issue: 1, page 7-18
- ISSN: 0231-9721
Access Full Article
topAbstract
topHow to cite
topReferences
top- Bednařík D., Pastor K., Elimination of strict convergence in optimization, SIAM J. Control Optim. 43, 3 (2004), 1063–1077. Zbl1089.49023MR2114389
- Bednařík D., Pastor K., On second-order conditions in unconstrained optimization, Math. Programming, in print; online: http://www.springerlink.com/content/tt7g83q36243l144/ Zbl1211.90276
- Bednařík D., Pastor K., Erratum to Elimination of strict convergence in optimization, SIAM J. Control Optim. 45 (2006), 382–387. MR2225311
- Ben-Tal A., Zowe J., Directional derivatives in nonsmooth optimization, J. Optim. Theory Appl. 47 (1985), 483–490. (1985) Zbl0556.90074MR0818873
- Cominetti R., Correa R., A generalized second-order derivative in nonsmooth optimization, , SIAM J. Control Optim. 28 (1990), 789–809. (1990) Zbl0714.49020MR1051624
- Ginchev I., Guerraggio A., Rocca M., From scalar to vector optimization, Appl. Math. 51 (2006), 5–36. Zbl1164.90399MR2197320
- Hiriart-Urruty J. B., Strodiot J. J., Nguyen V. H., Generalized Hessian matrix and second-order optimality conditions for problems with data, Appl. Math. Optim. 11 (1984), 43–56. (1984) MR0726975
- Klatte D., Tammer K., On second-order sufficient optimality conditions for optimization problems, Optimization 19 (1988), 169–179. (1988) MR0948388
- Liu L., Křížek M., The second order optimality conditions for nonlinear mathematical programming with data, Appl. Math. 42 (1997), 311–320. (1997) MR1453935
- Qi L., Superlinearly convergent approximate Newton methods for optimization problem, Math. Programming 64 (1994), 277–294. (1994) Zbl0820.90102MR1286451
- Qi L., functions and optimization, Operations Research and its applications (D.Z. Du, X.S. Zhang and K. Cheng eds.), World Publishing, Beijing, 1996, pp. 4–13. (1996) Zbl1058.68504
- Torre D. L., Rocca M., Remarks on second order generalized derivatives for differentiable functions with Lipschitzian jacobian, Applied Mathematics E-Notes 3 (2003), 130–137. Zbl1057.49016MR1995642
- Zorich V. A.: Mathematical Analysis., Springer-Verlag, Berlin, , 2004.