𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Numerical integration error method – a new method for polynomial root-finding

✍ Scribed by Tomohiro Suzuki; Toshio Suzuki

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
294 KB
Volume
47
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Method for finding multiple roots of pol
Method for finding multiple roots of polynomials
✍ Chang-Dau Yan; Wei-Hua Chieng 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 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

The amended DSeSC power method for polyn
The amended DSeSC power method for polynomial root-finding
✍ V.Y. Pan 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 724 KB

Cardinal's matrix version of the Sebastiao e Silva polynomial root-finder rapidly approximates the roots as the eigenvalues of the associated Frobenius matrix. We preserve rapid convergence to the roots but amend the algorithm to allow input polynomials with multiple roots and root clusters. As in C