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- Q2877013 description "Numerisches Verfahren zur Lösung von nichtlinearen Optimierungsproblemen" @default.
- Q2877013 description "méthode d'optimisation numérique" @default.
- Q2877013 description "optimization method" @default.
- Q2877013 description "一種求解無約束非線性優化問題的疊代算法" @default.
- Q2877013 name "BFGS" @default.
- Q2877013 name "BFGS-Verfahren" @default.
- Q2877013 name "BFGS法" @default.
- Q2877013 name "BFGS法" @default.
- Q2877013 name "Broyden–Fletcher–Goldfarb–Shanno algorithm" @default.
- Q2877013 name "Алгоритм Бройдена — Флетчера — Гольдфарба — Шанно" @default.
- Q2877013 name "Алгоритм Бройдена — Флетчера — Гольдфарба — Шанно" @default.
- Q2877013 name "روش بیافجیاس" @default.
- Q2877013 type Item @default.
- Q2877013 label "BFGS" @default.
- Q2877013 label "BFGS-Verfahren" @default.
- Q2877013 label "BFGS法" @default.
- Q2877013 label "BFGS法" @default.
- Q2877013 label "Broyden–Fletcher–Goldfarb–Shanno algorithm" @default.
- Q2877013 label "Алгоритм Бройдена — Флетчера — Гольдфарба — Шанно" @default.
- Q2877013 label "Алгоритм Бройдена — Флетчера — Гольдфарба — Шанно" @default.
- Q2877013 label "روش بیافجیاس" @default.
- Q2877013 altLabel "BFGS algorithm" @default.
- Q2877013 altLabel "méthode BFGS" @default.
- Q2877013 altLabel "روش BFGS" @default.
- Q2877013 altLabel "روش بی اف جی اس" @default.
- Q2877013 prefLabel "BFGS" @default.
- Q2877013 prefLabel "BFGS-Verfahren" @default.
- Q2877013 prefLabel "BFGS法" @default.
- Q2877013 prefLabel "BFGS法" @default.
- Q2877013 prefLabel "Broyden–Fletcher–Goldfarb–Shanno algorithm" @default.
- Q2877013 prefLabel "Алгоритм Бройдена — Флетчера — Гольдфарба — Шанно" @default.
- Q2877013 prefLabel "Алгоритм Бройдена — Флетчера — Гольдфарба — Шанно" @default.
- Q2877013 prefLabel "روش بیافجیاس" @default.
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encoding="application/x-tex">{\displaystyle {\begin{aligned}{\bf {p_{k}}}&=-B_{k}^{-1}\nabla {\bf {f_{k}}}\\\alpha _{k}&=\arg \min f({\bf {x_{k}+\alpha {\bf {p_{k})}}}}\\{\bf {s_{k}}}&=\alpha _{k}{\bf {p_{k}}}\\{\bf {x_{k+1}}}&={\bf {x_{k}+{\bf {s_{k}}}}}\\{\bf {y_{k+1}}}&=\nabla {\bf {f_{k+1}-\nabla {\bf {f_{k}}}}}\\B_{k+1}&=B_{k}+{\frac {\bf {y_{k}{\bf {y_{k}^{\top }}}}}{\bf {y_{k}^{\top }{\bf {s_{k}}}}}}-{\frac {B_{k}{\bf {s}}_{k}{\bf {s}}_{k}^{\top }B_{k}^{\top }}{{\bf {s}}_{k}^{\top }B_{k}{\bf {s}}_{k}}}\end{aligned}}}</annotation> </semantics> </math>" @default.
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