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- Broyden–Fletcher–Goldfarb–Shanno_algorithm abstract "In numerical optimization, the Broyden–Fletcher–Goldfarb–Shanno (BFGS) algorithm is an iterative method for solving unconstrained nonlinear optimization problems.The BFGS method approximates Newton's method, a class of hill-climbing optimization techniques that seeks a stationary point of a (preferably twice continuously differentiable) function. For such problems, a necessary condition for optimality is that the gradient be zero. Newton's method and the BFGS methods do not need to converge unless the function has a quadratic Taylor expansion near an optimum. These methods use both the first and second derivatives of the function. However, BFGS has proven to have good performance even for non-smooth optimizations.[citation needed]In quasi-Newton methods, the Hessian matrix of second derivatives doesn't need to be evaluated directly. Instead, the Hessian matrix is approximated using rank-one updates specified by gradient evaluations (or approximate gradient evaluations). Quasi-Newton methods are generalizations of the secant method to find the root of the first derivative for multidimensional problems. In multi-dimensional problems, the secant equation does not specify a unique solution, and quasi-Newton methods differ in how they constrain the solution. The BFGS method is one of the most popular members of this class. Also in common use is L-BFGS, which is a limited-memory version of BFGS that is particularly suited to problems with very large numbers of variables (e.g., >1000). The BFGS-B variant handles simple box constraints.".
- Broyden–Fletcher–Goldfarb–Shanno_algorithm wikiPageID "1926409".
- Broyden–Fletcher–Goldfarb–Shanno_algorithm wikiPageRevisionID "606547269".
- Broyden–Fletcher–Goldfarb–Shanno_algorithm subject Category:Optimization_algorithms_and_methods.
- Broyden–Fletcher–Goldfarb–Shanno_algorithm comment "In numerical optimization, the Broyden–Fletcher–Goldfarb–Shanno (BFGS) algorithm is an iterative method for solving unconstrained nonlinear optimization problems.The BFGS method approximates Newton's method, a class of hill-climbing optimization techniques that seeks a stationary point of a (preferably twice continuously differentiable) function. For such problems, a necessary condition for optimality is that the gradient be zero.".
- Broyden–Fletcher–Goldfarb–Shanno_algorithm label "BFGS".
- Broyden–Fletcher–Goldfarb–Shanno_algorithm label "BFGS-Verfahren".
- Broyden–Fletcher–Goldfarb–Shanno_algorithm label "Broyden–Fletcher–Goldfarb–Shanno algorithm".
- Broyden–Fletcher–Goldfarb–Shanno_algorithm label "Алгоритм Бройдена — Флетчера — Гольдфарба — Шанно".
- Broyden–Fletcher–Goldfarb–Shanno_algorithm sameAs Broyden%E2%80%93Fletcher%E2%80%93Goldfarb%E2%80%93Shanno_algorithm.
- Broyden–Fletcher–Goldfarb–Shanno_algorithm sameAs BFGS-Verfahren.
- Broyden–Fletcher–Goldfarb–Shanno_algorithm sameAs BFGS.
- Broyden–Fletcher–Goldfarb–Shanno_algorithm sameAs Q2877013.
- Broyden–Fletcher–Goldfarb–Shanno_algorithm sameAs Q2877013.
- Broyden–Fletcher–Goldfarb–Shanno_algorithm wasDerivedFrom Broyden–Fletcher–Goldfarb–Shanno_algorithm?oldid=606547269.