The quadratic numerical range and the location of zeros of polynomials

被引:7
|
作者
Linden, H [1 ]
机构
[1] Fernuniv Gesamthsch, Fachbereich Math, D-58084 Hagen, Germany
关键词
quadratic numerical range; companion matrix; zeros of polynomials;
D O I
10.1137/S0895479802411651
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Containment regions for the zeros of a monic polynomial are given with the aid of the quadratic numerical range of different types of companion matrices of the polynomial.
引用
收藏
页码:266 / 284
页数:19
相关论文
共 50 条
  • [1] Location of zeros of polynomials
    Affane-Aji, Chadia
    Agarwal, Neha
    Govil, N. K.
    MATHEMATICAL AND COMPUTER MODELLING, 2009, 50 (1-2) : 306 - 313
  • [2] On the Location of Zeros of Polynomials
    Prasanna Kumar
    Ritu Dhankhar
    Complex Analysis and Operator Theory, 2022, 16
  • [3] ON LOCATION OF ZEROS OF POLYNOMIALS
    JOYAL, A
    LABELLE, G
    RAHMAN, QI
    CANADIAN MATHEMATICAL BULLETIN, 1967, 10 (01): : 53 - &
  • [4] LOCATION OF ZEROS OF POLYNOMIALS
    MOHAMMAD, QG
    AMERICAN MATHEMATICAL MONTHLY, 1967, 74 (03): : 290 - +
  • [5] On the Location of Zeros of Polynomials
    Kumar, Prasanna
    Dhankhar, Ritu
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2022, 16 (01)
  • [6] Location of zeros of polynomials
    Zireh, Ahmad
    JOURNAL OF APPLIED ANALYSIS, 2012, 18 (01) : 159 - 166
  • [7] ON THE LOCATION OF THE ZEROS OF CERTAIN POLYNOMIALS
    Bairagi, S. D.
    Jain, Vinay Kumar
    Mishra, T. K.
    Saha, L.
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2016, 99 (113): : 287 - 294
  • [8] A NOTE ON THE LOCATION OF THE ZEROS OF POLYNOMIALS
    ODONNELL, RE
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 3 (01) : 116 - 119
  • [9] A NOTE ON THE LOCATION OF THE ZEROS OF POLYNOMIALS
    ODONNELL, RE
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1949, 55 (11) : 1061 - 1061
  • [10] Location of zeros of quaternionic polynomials
    Idrees Qasim
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2025, 71 (1)