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- Powell's_method abstract "Powell's method, strictly Powell's conjugate direction method, is an algorithm proposed by Michael J. D. Powell for finding a local minimum of a function. The function need not be differentiable, and no derivatives are taken.The function must be a real-valued function of a fixed number of real-valued inputs. The caller passes in the initial point. The caller also passes in a set of initial search vectors. Typically N search vectors are passed in which are simply the normals aligned to each axis.The method minimises the function by a bi-directional search along each search vector, in turn. The new position can then be expressed as a linear combination of the search vectors. The new displacement vector becomes a new search vector, and is added to the end of the search vector list. Meanwhile the search vector which contributed most to the new direction, i.e. the one which was most successful, is deleted from the search vector list. The algorithm iterates an arbitrary number of times until no significant improvement is made.The method is useful for calculating the local minimum of a continuous but complex function, especially one without an underlying mathematical definition, because it is not necessary to take derivatives. The basic algorithm is simple; the complexity is in the linear searches along the search vectors, which can be achieved via Brent's method.".
- Powell's_method wikiPageExternalLink pg=509.
- Powell's_method wikiPageExternalLink books?id=6Ay2biHG-GEC&lpg=PP1.
- Powell's_method wikiPageExternalLink PowellMethodMod.html.
- Powell's_method wikiPageID "24106975".
- Powell's_method wikiPageRevisionID "563534071".
- Powell's_method hasPhotoCollection Powell's_method.
- Powell's_method subject Category:Optimization_algorithms_and_methods.
- Powell's_method type Abstraction100002137.
- Powell's_method type Act100030358.
- Powell's_method type Activity100407535.
- Powell's_method type Algorithm105847438.
- Powell's_method type Event100029378.
- Powell's_method type OptimizationAlgorithmsAndMethods.
- Powell's_method type Procedure101023820.
- Powell's_method type PsychologicalFeature100023100.
- Powell's_method type Rule105846932.
- Powell's_method type YagoPermanentlyLocatedEntity.
- Powell's_method comment "Powell's method, strictly Powell's conjugate direction method, is an algorithm proposed by Michael J. D. Powell for finding a local minimum of a function. The function need not be differentiable, and no derivatives are taken.The function must be a real-valued function of a fixed number of real-valued inputs. The caller passes in the initial point. The caller also passes in a set of initial search vectors.".
- Powell's_method label "Powell's method".
- Powell's_method sameAs m.07kc4dz.
- Powell's_method sameAs Q7236049.
- Powell's_method sameAs Q7236049.
- Powell's_method sameAs Powell's_method.
- Powell's_method wasDerivedFrom Powell's_method?oldid=563534071.
- Powell's_method isPrimaryTopicOf Powell's_method.