A secant method for multiple roots
โ Scribed by Richard F. King
- Publisher
- Springer Netherlands
- Year
- 1977
- Tongue
- English
- Weight
- 314 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0006-3835
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๐ SIMILAR VOLUMES
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
Let f : C โ C have a multiple zero ฮฑ with integer multiplicity m โฅ 1 and be analytic in a sufficiently small neighborhood of ฮฑ. For parameter-controlled Newton-secant method defined by we investigate the maximal order of convergence and the theoretical asymptotic error constant by seeking the relat