Simple polynomials
Miloš Kössler (1951)
Czechoslovak Mathematical Journal
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Miloš Kössler (1951)
Czechoslovak Mathematical Journal
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I. R. Shafarevich (2001)
The Teaching of Mathematics
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Bernard Beauzamy (2000)
Revista Matemática Complutense
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We show how an old principle, due to Walsh (1922), can be used in order to construct an algorithm which finds the roots of polynomials with complex coefficients. This algorithm uses a linear command. From the very first step, the zero is located inside a disk, so several zeros can be searched at the same time.
Nikos E. Mastorakis (1996)
Kybernetika
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Miloslav Nekvinda (1989)
Aplikace matematiky
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The article is a survey on problem of the theorem of Hurwitz. The starting point of explanations is Schur's decomposition theorem for polynomials. It is showed how to obtain the well-known criteria on the distribution of roots of polynomials. The theorem on uniqueness of constants in Schur's decomposition seems to be new.