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An active set sequential quadratic programming algorithm for nonlinear optimisation

Published online by Cambridge University Press:  17 April 2009

Qing-Jie Hu
Affiliation:
Institute of Applied Mathematics, Hunan University, 410082 Changsha, Peoples Republic China, Department of Information, Hunan Business College, 410205 Changsha, Peoples Republic of China, e-mail: hqj0525@126.com.cn
Yun-Hai Xiao
Affiliation:
Institute of Applied Mathematics, Hunan University, 410082 Changsha, Peoples Republic China
Y. Chen
Affiliation:
Department of Information, Hunan Business College, 410205 Changsha, Peoples Republic of China
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In this paper, we have proposed an active set feasible sequential quadratic programming algorithm for nonlinear inequality constraints optimization problems. At each iteration of the proposed algorithm, a feasible direction of descent is obtained by solving a reduced quadratic programming subproblem. To overcome the Maratos effect, a higher-order correction direction is obtained by solving a reduced least square problem. The algorithm is proved to be globally convergent and superlinearly convergent under some mild conditions without strict complementarity.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2006

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