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Quasi-Newton Least Squares Method
・ Quasi-Newton method
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Quasi-Newton Least Squares Method : ウィキペディア英語版
Quasi-Newton Least Squares Method

In numerical analysis, The Quasi-Newton Least Squares Method is a quasi-Newton method for finding roots in variables. It was originally described by Rob Haelterman et al. in 2009.
Newton's method for solving uses the Jacobian matrix, , at every iteration. However, computing this Jacobian is a difficult (sometimes even impossible) and expensive operation. The idea behind the Quasi-Newton Least Squares Method is to build up an approximate Jacobian based on known input-output pairs of the function .
Haelterman et al. also showed that when the Quasi-Newton Least Squares Method is applied to a linear system of size , it converges in at most steps although like all quasi-Newton methods, it may not converge for nonlinear systems.
The method is closely related to the Quasi-Newton Inverse Least Squares Method.
==References==



抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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