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A decomposition procedure for nearly-symmetric matrices with applications to some nonlinear problems

โœ Scribed by Hong Zheng; Sheng Guo Cheng; Quan Sheng Liu


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
381 KB
Volume
37
Category
Article
ISSN
0093-6413

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A Chebyshev Polynomial Interval-Searchin
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