• DocumentCode
    3311191
  • Title

    On the elliptic numerical ranges of 4×4 matrices

  • Author

    Dong, Chuandai ; Fang, Hualing ; Liu, Xueting

  • Author_Institution
    Sch. of Electr. & Electron. Eng., Shandong Univ. of Technol., Zibo, China
  • fYear
    2009
  • fDate
    8-11 Aug. 2009
  • Firstpage
    413
  • Lastpage
    416
  • Abstract
    Let A be a ntimesn complex matrix associated with f(2)=zn+a1zn-1+...+an-1z+an, W(A)={x*Ax:xisinCn|x=1}denotes the numerical range of A . In this paper, we discuss the properties of the Kippenhahn curve CR(A) firstly, and then discuss the necessary condition of W(A) being an elliptic disc by means of the Kronecker product of matrices and the Kippenhahn curve CR(A).
  • Keywords
    matrix algebra; Kippenhahn curve; Kronecker product; complex 4times4 matrix; elliptic numerical range; Chromium; Eigenvalues and eigenfunctions; Numerical analysis; Physics; Polynomials; Quantum mechanics; Companion matrix; Kronecker product; Numerical range; elliptic disc;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Science and Information Technology, 2009. ICCSIT 2009. 2nd IEEE International Conference on
  • Conference_Location
    Beijing
  • Print_ISBN
    978-1-4244-4519-6
  • Electronic_ISBN
    978-1-4244-4520-2
  • Type

    conf

  • DOI
    10.1109/ICCSIT.2009.5234531
  • Filename
    5234531
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3311191