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Inverse power and Durand-Kerner iterations for univariate polynomial root-finding

โœ Scribed by D.A. Bini; L. Gemignani; V.Y. Pan


Book ID
108458546
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
909 KB
Volume
47
Category
Article
ISSN
0898-1221

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Univariate Polynomials: Nearly Optimal A
โœ Victor Y. Pan ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 552 KB

To approximate all roots (zeros) of a univariate polynomial, we develop two effective algorithms and combine them in a single recursive process. One algorithm computes a basic well isolated zero-free annulus on the complex plane, whereas another algorithm numerically splits the input polynomial of t