کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8901757 1631947 2018 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the global convergence of Schröder's iterative formulae for real roots of algebraic equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
On the global convergence of Schröder's iterative formulae for real roots of algebraic equations
چکیده انگلیسی
Schröder's formulae of the first (S1) and second (S2) kind of order m of convergence are generalizations of Newton's (m=2) and Halley's (S2, m=3) iterative formulae for finding zeros of functions. Davies and Dawson show that for entire functions with only real zeros, Halley's formula converges globally and monotonically to their zeros, independently of the initial value on the real line. We show that the S2 formulae of odd order ≥5 enjoy the same convergence feature for polynomials with only real zeros. Numerical examples illustrate this. We illustrate no monotonic convergence of the S1 formulae and of the S2 formulae of even order.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 344, 15 December 2018, Pages 313-322
نویسندگان
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