On the solution of polynomial equations using continued fractions
โ Scribed by Alkiviadis G. Akritas
- Book ID
- 113162074
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 343 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This note jollows the work of Lagrange and Euler and gives the essential steps for reaching a solution of the Boole and the Riccati equations with the help of continued fractions. The resulta are compared with the series solutions (which may be recognized in closed form for simple caaea) obtained by
The class of continued radicals r,J(ar +?/(a, +Iq(a, + . . .))) is investigated for the case where a, > O,r, > 2. Results concerning the convergence of continued radicals are obtained and an error estimate is givenfor the approximating sequence t, = 'q(al +';/(a, + ... +';/(a.))), n = 1,2,. . , in