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A class of simultaneous methods for the zeros of analytic functions

✍ Scribed by M.S. Petković; Z.M. Marjanović

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
504 KB
Volume
22
Category
Article
ISSN
0898-1221

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✦ Synopsis

A family of iterative methods for sim-ltaneously approximating simple zeros of p-n,dytic functions (inside a simple smooth dosed contour in the complex plane) is presented. The order of c(mvergence of the considered methods is m + 2 (m = 1,2 .... ), where m is the order of the highest derivative of Analytic function ,,ppearing in the iterative formula. A special attentlml is paid to the totsl-atep and slngle-step methods with Newton's and Halley's correcti(ms because of their high computational efficiency. Numerical examples are also included.

📜 SIMILAR VOLUMES

Janowski starlikeness for a class of ana
Janowski starlikeness for a class of analytic functions
✍ Rosihan M. Ali; R. Chandrashekar; V. Ravichandran 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 216 KB

A normalized analytic function f defined on the open unit disk is a Janowski starlike , where A and B are complex numbers satisfying the conditions |B| ≤ 1 and A ̸ = B. In this paper, a new class of analytic functions defined by means of subordination is introduced. Sufficient conditions are obtain