Bounds for the zeros of polynomials from matrix inequalities

被引：47
作者：
Kittaneh, F [1 ]
机构：
[1] Univ Jordan, Dept Math, Amman, Jordan
来源：
ARCHIV DER MATHEMATIK | 2003年 / 81卷 / 05期
关键词：
D O I：
10.1007/s00013-003-0525-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We apply several matrix inequalities to the Frobenius companion matrices of monic polynomials to derive new bounds for the zeros of these polynomials. Our analysis enables us to improve an earlier bound of Abdurakhmanov and to give a different proof of a known bound of Fujii and Kuhn.
引用
收藏
页码：601 / 608
页数：8
相关论文
共 17 条
  • [1] Abdurakhmanov A.A., 1988, MATH USSR SB, V59, P39, DOI [10.1070/SM1988v059n01ABEH003123, DOI 10.1070/SM1988V059N01ABEH003123]
  • [2] [Anonymous], 1996, Matrix Analysis
  • [3] [Anonymous], MATH APPL
  • [4] [Anonymous], 1997, NUMERICAL RANGE
  • [5] OPERATOR NORMS AS BOUNDS FOR ROOTS OF ALGEBRAIC EQUATIONS
    FUJII, M
    KUBO, F
    [J]. PROCEEDINGS OF THE JAPAN ACADEMY, 1973, 49 (10): : 805 - 808
  • [6] BUZANO INEQUALITY AND BOUNDS FOR ROOTS OF ALGEBRAIC EQUATIONS
    FUJII, M
    KUBO, F
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 117 (02) : 359 - 361
  • [7] Halmos P. R., 1982, HILBERT SPACE PROBLE
  • [8] Horn R. A., 1994, Matrix Analysis
  • [9] Horn R. A., 1986, Matrix analysis
  • [10] NORM INEQUALITIES OF POSITIVE OPERATOR MATRICES
    HOU, JC
    DU, HK
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 1995, 22 (03) : 281 - 294
12