The convergence of a new filter SQP algorithm
Xia Dong-jing
Abstract
Xia Dong-jing
Abstract
The filter method is a class of effective method for nonlinearly constrained optimization.The penalty function is not employed.A new rule is given to accept a trial point in the filter method.Based on the rule,a new algorithm is proposed,which is combined with SQP algorithm.Under some basic assumptions,the algorithm is globally convergent.
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The filter method is a class of effective method for nonlinearly constrained optimization.The penalty function is not employed.A new rule is given to accept a trial point in the filter method.Based on the rule,a new algorithm is proposed,which is combined with SQP algorithm.Under some basic assumptions,the algorithm is globally convergent.
Key concepts: Sequential quadratic programming, Filter (signal processing), Algorithm, Convergence (economics), Penalty method, Mathematical optimization, Mathematics, Adaptive filter