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An algorithm for locating all zeros of a real polynomial

โœ Scribed by F. Locher; M. -R. Skrzipek

Publisher
Springer Vienna
Year
1995
Tongue
English
Weight
808 KB
Volume
54
Category
Article
ISSN
0010-485X

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Orthogonal Expansion of Real Polynomials
Orthogonal Expansion of Real Polynomials, Location of Zeros, and an L2 Inequality
โœ G. Schmeisser ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 182 KB

Let f (z)=a 0 , 0 (z)+a 1 , 1 (z)+ } } } +a n , n (z) be a polynomial of degree n, given as an orthogonal expansion with real coefficients. We study the location of the zeros of f relative to an interval and in terms of some of the coefficients. Our main theorem generalizes or refines results due to