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1. A line search filter-SQP method for nonlinear inequality constrained optimization | |||
YUAN Jing,ZHU Detong | |||
Mathematics 19 June 2012 | |||
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Abstract:Filter methods are extensively studied for solving nonlinearprogramming problems (NLP). In this paper, the author propose the sequencequadratic programming method with a line search filter technique fornonlinear inequality constrained problems. The search direction ofthis algorithm is generated by first-order necessary conditions,while a backtracking line search procedure is used to generate stepsize. The second order correction is employed to overcome theMaratos effect. Local convergent rate and global convergence areestablished under some suitable conditions. Finally, the results ofnumerical experiments indicate that the proposed method is efficientfor the given test problems. | |||
TO cite this article:YUAN Jing,ZHU Detong. A line search filter-SQP method for nonlinear inequality constrained optimization[OL].[19 June 2012] http://en.paper.edu.cn/en_releasepaper/content/4482733 |
2. A Conjugate Gradient Path Method without Line Search Technique for Unconstrained Optimization | |||
WANG Jueyu,ZHU Detong | |||
Mathematics 18 April 2012 | |||
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Abstract:In this paper, we propose a new approach via discrete conjugate gradient path for solving unconstrained optimization. The conjugate gradient path is obtained by constructing quadratic model of the objective function. The global convergence and local quadratic or superlinear convergence rate of the proposed algorithm are established under some reasonable conditions. Finally, the numerical results are reported to show the effectiveness of the proposed algorithm. | |||
TO cite this article:WANG Jueyu,ZHU Detong. A Conjugate Gradient Path Method without Line Search Technique for Unconstrained Optimization[OL].[18 April 2012] http://en.paper.edu.cn/en_releasepaper/content/4474920 |
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