An extension of the global convergence framework for unconstrained derivative-free op- timization methods is presented.The extension makes it possible for the framework to include opti- mization methods with varying c...An extension of the global convergence framework for unconstrained derivative-free op- timization methods is presented.The extension makes it possible for the framework to include opti- mization methods with varying cardinality of the ordered direction set.Grid-based search methods are shown to be a special case of the more general extended global convergence framework.Furthermore, the required properties of the sequence of ordered direction sets listed in the definition of grid-based methods are relaxed and simplified by removing the requirement of structural equivalence.展开更多
文摘An extension of the global convergence framework for unconstrained derivative-free op- timization methods is presented.The extension makes it possible for the framework to include opti- mization methods with varying cardinality of the ordered direction set.Grid-based search methods are shown to be a special case of the more general extended global convergence framework.Furthermore, the required properties of the sequence of ordered direction sets listed in the definition of grid-based methods are relaxed and simplified by removing the requirement of structural equivalence.