• DocumentCode
    3327734
  • Title

    Elliptic Numerical Ranges of 4 x 4 Matrices

  • Author

    Li, Hongkui ; Liu, Xueting

  • Author_Institution
    Coll. of Sci., Shandong Univ. of Technol., Zibo, China
  • fYear
    2009
  • fDate
    6-7 June 2009
  • Firstpage
    190
  • Lastpage
    193
  • Abstract
    Let A be a ntimesn complex matrix associated with f(z)=zn+a1zn-1+...+an-1z+an. Then the numerical range of A is defined to be W(A)={x* Ax:xisinCm /|x|=1}. In this paper, we study some properties of the Kippenhahn curve CR(A) firstly, and then discuss the necessary condition of W(A) (A is 4times4 reducible companion matrices) being an elliptic disc by making use of matrices Kronecker product and the Kippenhahn curve CR(A).
  • Keywords
    computational complexity; matrix algebra; Kippenhahn curve; Kronecker product; complex matrix; elliptic numerical ranges; reducible companion matrices; Algebra; Chromium; Educational institutions; Linear matrix inequalities; Matrices; Numerical analysis; Physics; Polynomials; Quantum mechanics; Companion matrix; Kronecker product; Numerical range; elliptic disc;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Future Computer and Communication, 2009. FCC '09. International Conference on
  • Conference_Location
    Wuhan
  • Print_ISBN
    978-0-7695-3676-7
  • Type

    conf

  • DOI
    10.1109/FCC.2009.56
  • Filename
    5235673
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3327734