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Application of interval Newton method to solve nonlinear equations and global optimization

โœ Scribed by Li Shuang; Xu Caijun; Wang Xinzhou


Publisher
Springer
Year
2003
Tongue
English
Weight
300 KB
Volume
6
Category
Article
ISSN
1009-5020

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โœ John P. Boyd ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 362 KB

To search a given real interval for roots, our algorithm is to replace \(f(\lambda)\) by \(f_{N}(\lambda)\), its \(N\)-term Chebyshev expansion on the search interval \(\lambda \in\left[\lambda_{\min }, \lambda_{\max }\right]\), and compute the roots of this proxy. This strategy is efficient if and