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Chebyshev polynomials on a finite set of points

✍ Scribed by V. A. Bovin


Publisher
Springer US
Year
1970
Tongue
English
Weight
146 KB
Volume
6
Category
Article
ISSN
1573-8582

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We study value sets of polynomials over a finite field, and value sets associated to pairs of such polynomials. For example, we show that the value sets (counting multiplicities) of two polynomials of degree at most d are identical or have at most q!(q!1)/d values in common where q is the number of

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This paper deals with Vandermonde matrices on Chebyshev points, hereafter denoted by V. We present simple formulas for the determinant of I" and the Frobenius norm of both V and V -~, and derive an algorithm for solving the linear systems l/'p =f and VTq = g. Numerical experiments to asses the stabi