Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Fritz_John_conditions> ?p ?o. }
Showing items 1 to 12 of
12
with 100 items per page.
- Fritz_John_conditions abstract "The Fritz John conditions (abbr. FJ conditions), in mathematics, are a necessary condition for a solution in nonlinear programming to be optimal. They are used as lemma in the proof of the Karush–Kuhn–Tucker conditions.We consider the following optimization problem:where ƒ is the function to be minimized, the inequality constraints and the equality constraints, and where, respectively, , and are the indices set of inactive, active and equality constraints and is an optimal solution of , then there exists a non-zero number and a non-zero vector such that:iff the and are linearly dependent and , i.e. if the constraint qualifications do not hold.Named after Fritz John, these conditions are equivalent to the Karush–Kuhn–Tucker conditions in the case .".
- Fritz_John_conditions wikiPageID "26774926".
- Fritz_John_conditions wikiPageRevisionID "597141633".
- Fritz_John_conditions hasPhotoCollection Fritz_John_conditions.
- Fritz_John_conditions subject Category:Mathematical_optimization.
- Fritz_John_conditions comment "The Fritz John conditions (abbr. FJ conditions), in mathematics, are a necessary condition for a solution in nonlinear programming to be optimal.".
- Fritz_John_conditions label "Fritz John conditions".
- Fritz_John_conditions sameAs m.0bmhsb3.
- Fritz_John_conditions sameAs Q5504940.
- Fritz_John_conditions sameAs Q5504940.
- Fritz_John_conditions wasDerivedFrom Fritz_John_conditions?oldid=597141633.
- Fritz_John_conditions isPrimaryTopicOf Fritz_John_conditions.