Displaying similar documents to “Multivariate Sturm-Habicht sequences: real root counting on n-rectangles and triangles.”

Finding the roots of polynomial equations: an algorithm with linear command.

Bernard Beauzamy (2000)

Revista Matemática Complutense

Similarity:

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.

On stable polynomials

Miloslav Nekvinda (1989)

Aplikace matematiky

Similarity:

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.