ANALYSIS of ALGORITHMS, Bulletin Board
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re: problem 3 on Problems page
With respect to Problem 3,
By Hsien-Kuei Hwang, 23-Jul-97. A limit distribution and zeros of a
polynomial.
See, for example (and further leads)
How many roots of a random polynomial are real?
Eric Kostlan and Alan Edleman at
http://www-math.mit.edu/~edelman/comprehensive.html
Note that papers on the distribution of
eigenvalues of matrices with random elements are
sometimes relevant (by considering a companion matrix).
Cordially, David Wood
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