𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An analogue for Szegő polynomials of the Clenshaw algorithm

✍ Scribed by Gregory S. Ammar; William B. Gragg; Lothar Reichel


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
368 KB
Volume
46
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


An Iterated Eigenvalue Algorithm for App
✍ Steven Fortune 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 655 KB

We discuss an iterative algorithm that approximates all roots of a univariate polynomial. The iteration is based on floating-point computation of the eigenvalues of a generalized companion matrix. With some assumptions, we show that the algorithm approximates the roots within about log ρ/ χ(P ) iter

An algorithm for the divisors of monic p
✍ Ihsen Yengui 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 147 KB

Gilmer and Heinzer proved that given a reduced ring R, a polynomial f divides a monic polynomial in R[X] if and only if there exists a direct sum decomposition of R = R0 ⊕ . . . ⊕ Rm (m ≤ deg f ), associated to a fundamental system of idempotents e0, . . . , em, such that the component of f in each