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On the Global Convergence of Some Iterative Formulas
en
Department of Mathematics Kobe University of Mercantile Marine
Takahiko Murakami
We showed two types of third order iterative formulas containing two parameters. Let f (x) be a polynomial with only real zeros or an entire function or a certain type with only real zeros. Then we established that the one type of the above-mentioned iterative formulas converges globally and monotonically to the zeros of the f (x). The purpose of this paper is to show that the other type also converges globally and monotonically to the zeros of the f (x).
We showed two types of third order iterative formulas containing two parameters. Let f (x) be a polynomial with only real zeros or an entire function or a certain type with only real zeros. Then we established that the one type of the above-mentioned iterative formulas converges globally and monotonically to the zeros of the f (x). The purpose of this paper is to show that the other type also converges globally and monotonically to the zeros of the f (x).
AA00700121
Journal of Information Processing
15
EX
27-30
1993-03-31
1882-6652