• DocumentCode
    2770556
  • Title

    The Property of Kippenhahn Curves of Hadamard Products and Applications

  • Author

    Zhao, Guangyuan

  • Author_Institution
    Coll. of Comput. Sci. & Technol., Shandong Univ. of Technol., Zibo, China
  • Volume
    2
  • fYear
    2009
  • fDate
    13-15 Nov. 2009
  • Firstpage
    568
  • Lastpage
    571
  • Abstract
    In this paper, A and C will denote 4×4 reducible companion matrices, we combine the Kronecker product, Hadamard product with numerical rang of matrices, discuss the relations between the Kronecker product, Hadamard product with numerical rang of matrices, and illustrate that the Kippenhahn curve CR (C ) consists of CR (A) consists of one ellipse whose foci are ¿1 = ¿3 = -a2/a¿2i, ¿2 = ¿4 = a2i/a¿2 and axis has a length r.
  • Keywords
    Hadamard matrices; numerical analysis; 4x4 reducible companion matrices; Hadamard products; Kippenhahn curves; Kronecker product; ellipse foci; numerical matrices rang; Application software; Chromium; Computer science; Educational institutions; Equations; Error correction; Error correction codes; Filtering theory; Nonlinear filters; Stochastic processes; Companion matrix; Hadamard product; Kronecker product; elliptic disc; numerical rang;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Technology and Development, 2009. ICCTD '09. International Conference on
  • Conference_Location
    Kota Kinabalu
  • Print_ISBN
    978-0-7695-3892-1
  • Type

    conf

  • DOI
    10.1109/ICCTD.2009.219
  • Filename
    5360212