BOUNDS FOR THE SEPARATION OF REAL ZEROS OF POLYNOMIALS

Authors
WALKER P
Citation
P. Walker, BOUNDS FOR THE SEPARATION OF REAL ZEROS OF POLYNOMIALS, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 59, 1995, pp. 330-342
Citations number
5
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
59
Year of publication
1995
Part
3
Pages
330 - 342
Database
ISI
SICI code
0263-6115(1995)59:<330:BFTSOR>2.0.ZU;2-P
Abstract
We measure the separation of the zeros of the polynomial f(x) = Pi(l)( n)(x - a(i)), a(1) < a(2) < ... < a(n) by delta(f) = min(i)(a(i+1) - a (i)). We establish a bound for the amount by which the ratio delta(f' - kf)/delta(f) exceeds 1.