• DocumentCode
    2832483
  • Title

    On the Kippenhahn Curves of Kronecker Products

  • Author

    Liu, Xueting ; Li, Hongkui

  • Author_Institution
    Sch. of Electr. & Electron. Eng., Shandong Univ. of Technol., Zibo, China
  • fYear
    2009
  • fDate
    11-12 July 2009
  • Firstpage
    562
  • Lastpage
    565
  • Abstract
    In many physical applications, we must solve a system of linear equations AXB=C. We know that the Kronecker product can get a convenient representation for linear equations AXB=C. In this paper, let A and C be deoted 4times4 reducible companion matrices. We study the property of the Kippenhahn curve CR(C) and of the numerical rang W(A) being an elliptic disc by making use of matrices Kronecker product and the Kippenhahn curve CR(C) continuely.
  • Keywords
    computational complexity; elliptic equations; mathematical operators; matrix algebra; Kippenhahn curves; Kronecker products; elliptic disc; linear equations; numerical rang; reducible companion matrices; Automatic control; Automation; Chromium; Control systems; Educational institutions; Equations; Stacking; Systems engineering and theory; Vectors; Companion matrix; Kronecker product; elliptic disc;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control, Automation and Systems Engineering, 2009. CASE 2009. IITA International Conference on
  • Conference_Location
    Zhangjiajie
  • Print_ISBN
    978-0-7695-3728-3
  • Type

    conf

  • DOI
    10.1109/CASE.2009.150
  • Filename
    5194516
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2832483