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- Powells_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.".
- Powells_method wikiPageExternalLink books?id=6Ay2biHG-GEC&lpg=PP1.
- Powells_method wikiPageExternalLink pg=509.
- Powells_method wikiPageExternalLink PowellMethodMod.html.
- Powells_method wikiPageID "24106975".
- Powells_method wikiPageLength "2727".
- Powells_method wikiPageOutDegree "5".
- Powells_method wikiPageRevisionID "683222816".
- Powells_method wikiPageWikiLink Algorithm.
- Powells_method wikiPageWikiLink Brents_method.
- Powells_method wikiPageWikiLink Category:Optimization_algorithms_and_methods.
- Powells_method wikiPageWikiLink Maxima_and_minima.
- Powells_method wikiPageWikiLink Michael_J._D._Powell.
- Powells_method wikiPageWikiLinkText "Powell".
- Powells_method wikiPageWikiLinkText "Powell's method".
- Powells_method wikiPageWikiLinkText "conjugate direction method".
- Powells_method hasPhotoCollection Powells_method.
- Powells_method wikiPageUsesTemplate Template:Cite_book.
- Powells_method wikiPageUsesTemplate Template:Cite_journal.
- Powells_method wikiPageUsesTemplate Template:Optimization_algorithms.
- Powells_method wikiPageUsesTemplate Template:Refimprove.
- Powells_method wikiPageUsesTemplate Template:Reflist.
- Powells_method subject Category:Optimization_algorithms_and_methods.
- Powells_method hypernym Algorithm.
- Powells_method type Software.
- Powells_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.".
- Powells_method label "Powell's method".
- Powells_method sameAs m.07kc4dz.
- Powells_method sameAs Q7236049.
- Powells_method sameAs Q7236049.
- Powells_method wasDerivedFrom Powells_methodoldid=683222816.
- Powells_method isPrimaryTopicOf Powells_method.