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AN ACTIVE SET SQP-FILTER METHOD FOR SOLVING NONLINEAR PROGRAMMING
Su, Ke,Yuan, Yingna,An, Hui The Youngnam Mathematical Society 2012 East Asian mathematical journal Vol.28 No.3
Sequential quadratic programming (SQP) has been one of the most important methods for solving nonlinear constrained optimization problems. Recently, filter method, proposed by Fletcher and Leyffer, has been extensively applied for its promising numerical results. In this paper, we present and study an active set SQP-filter algorithm for inequality constrained optimization. The active set technique reduces the size of quadratic programming (QP) subproblem. While by the filter method, there is no penalty parameter estimate. Moreover, Maratos effect can be overcome by filter technique. Global convergence property of the proposed algorithm are established under suitable conditions. Some numerical results are reported in this paper.
An active set SQP-filter method for solving nonlinear programming
Ke Su,Yingna Yuan,Hui An 영남수학회 2012 East Asian mathematical journal Vol.28 No.3
Sequential quadratic programming (SQP) has been one of the most important methods for solving nonlinear constrained optimiza- tion problems. Recently, filter method, proposed by Fletcher and Leyffer, has been extensively applied for its promising numerical results. In this paper, we present and study an active set SQP-filter algorithm for in- equality constrained optimization. The active set technique reduces the size of quadratic programming (QP) subproblem. While by the filter method, there is no penalty parameter estimate. Moreover, Maratos ef- fect can be overcome by filter technique. Global convergence property of the proposed algorithm are established under suitable conditions. Some numerical results are reported in this paper.
Xiaoxiao Shan,Yaoqi Zhang,Zhigang Zhang,Miaorui Chen,Yongyu Su,Yingna Yuan,M. Jahangir Alam,He Yan,Lei Shi 한국식품과학회 2012 Food Science and Biotechnology Vol.21 No.1
The purpose of this study was to develop a real-time quantitative loop-mediated isothermal amplication (LAMP) method for the rapid, sensitive, and convenient detection of Listeria monocytogenes in food. The LAMP method could amplify the hlyA gene of L. monocytogenes successfully at 63oC with a loopamp real-time turbidimeter. The detection limits of the LAMP for hlyA gene were 6colony forming units (CFU)/tube. A standard curve was generated for L. monocytogenes LAMP by plotting the graph based different log CFU values of L. monocytogenes and time of positivity through real-time monitoring of the amplication. Then, the LAMP method was employed to test 94 retail food samples effectively. Sensitivity in detection of L. monocytogenes by the LAMP was higher than that of PCR and none of the conventional methodpositive samples was missed by the LAMP method.