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Exact method for complex roots of polynomials

โœ Scribed by Pinkert.

Book ID
127401589
Tongue
English
Weight
188 KB
Category
Library

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๐Ÿ“œ SIMILAR VOLUMES

Method for finding multiple roots of pol
Method for finding multiple roots of polynomials
โœ Chang-Dau Yan; Wei-Hua Chieng ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 851 KB

Conventional numerical methods for finding multiple roots of polynomials are inaccurate. The accuracy is unsatisfactory because the derivatives of the polynomial in the intermediate steps of the associated root-finding procedures are eliminated. Engineering applications require that this problem be

Method for polynomial root isolation
Method for polynomial root isolation
โœ Akritas. ๐Ÿ“‚ Library ๐ŸŒ English โš– 143 KB

A new method is presented for the isolation of the real roots of a given integral, univariate, square-free polynomial P. This method is based on Vincent's theorem and only uses: (i) Descartes' rule of signs, and (ii) transformations of the form x = a1 + 1/x′, x′ = a2 + 1/x″, x&#824