Stability of the roots of random algebraic polynomials
作者:
Mark J. Christensen,
A. T Bharucha-Reid,
期刊:
Communications in Statistics - Simulation and Computation
(Taylor Available online 1980)
卷期:
Volume 9,
issue 2
页码: 179-192
ISSN:0361-0918
年代: 1980
DOI:10.1080/03610918008812147
出版商: Marcel Dekker, Inc.
关键词: random algebraic polynomial;polydisk;analytic functions;computer simulation
数据来源: Taylor
摘要:
In this paper we consider the behavior of the roots of random algebraic polynomials. A code was developed which generates a sample of random algebraic polynomials, calculates the roots of each sample polynomial, and then calculates the averages of the roots. Finally, the roots of the deterministic algebraic polynomial whose coefficients are the averages of the sample coefficients are calculated. These data are then tabulated and graphically displayed. The relationship between the averages of the roots of the sample polynomials and the roots of the average polynomial is discussed.
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