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An Improvement to the Brent’s Method
Zhengqiu Zhang
Pages - 21 - 26 | Revised - 01-05-2011 | Published - 31-05-2011
MORE INFORMATION
KEYWORDS
Brent’s Method, Simplification, Improvement
ABSTRACT
This study presents an improvement to the Brent¡¯s Method by reconstruction. The Brent¡¯s Method determines the next iteration interval from two subsections, whereas the new method determines the next iteration interval from three subsections constructed by four given points and thus can greatly reduce the iteration interval length.
The new method not only gets more readable but also converges faster. An experiment is made to investigate its performance. Results show that, after simplification, the computational efficiency can greatly be improved.
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Dr. Zhengqiu Zhang
- China
zqzhang@cams.cma.gov.cn
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