A GAUSS-LUCAS TYPE THEOREM ON THE LOCATION OF THE ROOTS OF A POLYNOMIAL

被引：0
|
作者：
BUHMANN, MD [1 ]
RIVLIN, TJ [1 ]
机构：
[1] IBM CORP,THOMAS J WATSON RES CTR,DEPT MATH SCI,YORKTOWN HTS,NY 10598
来源：
JOURNAL OF APPROXIMATION THEORY | 1991年 / 67卷 / 02期
关键词：
D O I：
10.1016/0021-9045(91)90020-B
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we prove a geometrical relationship between the zeros of a polynomial p of order m, say, and the zeros of another polynomial which is derived from p by multiplying each of p's coefficients, call them {αk}k = 0m, by a power of k or by k2 + 2kλ for λ > 0. © 1991.
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页码：235 / 238
页数：4
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