Chin, Choong Ming and Abdul Rashid, Abdul Halim and Nor, Khaled Mohamed (2007) Global and local convergence of a filter line search method for nonlinear programming. Optimization Methods and Software , 22 (3). pp. 365-390. ISSN 1055-6788
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Official URL: http://dx.doi.org/10.1080/10556780600565489
A framework for proving global convergence for a class of line search filter-type methods for nonlinear programming is presented without assuming that the Jacobian has full rank everywhere. The underlying method is based on the filter concept where trial points are accepted, provided there is a sufficient decrease in the objective function or constraints violation function. The proposed methods solve a sequence of quadratic programming subproblems via line search techniques to induce global convergence. Under mild conditions, we will also show that the algorithm converges two step superlinearly when the iterates are near to the solution.
|Uncontrolled Keywords:||Filter, global convergence, line search, nonlinear programming, SQP, superlinear convergence.|
|Subjects:||T Technology > TK Electrical engineering. Electronics Nuclear engineering|
|Deposited By:||Nur Amal Zakiah Shamsudin|
|Deposited On:||09 Jan 2009 00:45|
|Last Modified:||09 Jan 2009 00:45|
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