Memoirs of the Faculty of Engineering, Yamaguchi University

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Memoirs of the Faculty of Engineering, Yamaguchi University Volume 23 Issue 3
published_at 1973

A Method for solving Polynomial Equation with Complex Coefficients

複素係数代数方程式の数値解法
Okada Toshihiko
fulltext
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KJ00000155990.pdf
Descriptions
On the complex plane we examine if a given polynomial f(z) has all roots inside a given circle of radius R. If it has not, then we double the radius and examine similarly. Soon we find the circle containing all roots of f(z). Assuming that there are all roots of f(z) inside the circle of radius 2R, the largest root of an absolute value exists at least in an annulus R<&mid