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On some improvements of square root iteration for polynomial complex zeros

✍ Scribed by M.S. Petković; L.V. Stefanović

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
743 KB
Volume
15
Category
Article
ISSN
0377-0427

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✍ Osami Yamamoto 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 708 KB

We define a region \(H_{\alpha, f}\) in the complex number field, where \(\alpha\) is a complex number, \(f(x) \in K[x]\) and \(f(\alpha) \neq 0\). The region \(H_{\alpha, f}\) contains no zeros of \(f(x)\) and is relatively easy to analyze. We analyze the region with respect to \(K=\mathbb{R}\) and