Globally Convergent Interior-Point Algorithm for Nonlinear Programming
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| Pubblicato in: | Journal of Optimization Theory and Applications vol. 125, no. 3 (Jun 2005), p. 497 |
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| Pubblicazione: |
Springer Nature B.V.
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| Accesso online: | Citation/Abstract Full Text Full Text - PDF |
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| Abstract: | This paper presents a primal-dual interior-point algorithm for solving general constrained nonlinear programming problems. The inequality constraints are incorporated into the objective function by means of a logarithmic barrier function. Also, satisfaction of the equality constraints is enforced through the use of an adaptive quadratic penalty function. The penalty parameter is determined using a strategy that ensures a descent property for a merit function. Global convergence of the algorithm is achieved through the monotonic decrease of a merit function. Finally, extensive computational results show that the algorithm can solve large and difficult problems in an efficient and robust way. |
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| ISSN: | 0022-3239 1573-2878 |
| DOI: | 10.1007/s10957-005-2086-2 |
| Fonte: | ABI/INFORM Global |