| 翻訳と辞書 | Broyden's method| Broyden's method  : ウィキペディア英語版 | 
 
 In numerical analysis, Broyden's method is a quasi-Newton method for finding roots in  variables. It was originally described by C. G. Broyden in 1965.
 Newton's method for solving  uses the Jacobian matrix, ,  at every iteration. However, computing this Jacobian is a difficult and expensive operation. The idea behind Broyden's method is to compute the whole Jacobian only at the first iteration, and to do a rank-one update at the other iterations.
 In 1979 Gay proved that when Broyden's method is applied to a linear system of size , it
 terminates in  steps, although like all quasi-Newton methods, it may not converge for nonlinear systems.
 == Description of the method ==
 
 
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