• DocumentCode
    1645103
  • Title

    An iteration scheme for dominant singular values

  • Author

    Bar-on, J.R. ; Gray, C.W.

  • Author_Institution
    Dept. of Electr. Eng. & Comput. Sci., Oklahoma Univ., Norman, OK, USA
  • fYear
    1992
  • Firstpage
    215
  • Lastpage
    217
  • Abstract
    An iteration method is presented for determining the largest singular value (2-norm) of a matrix, and its corresponding singular vectors. Connections with the power method and Bernoulli´s method are presented. A formula is derived which describes the relationship between a matrix perturbation and the perturbation of its singular values
  • Keywords
    eigenvalues and eigenfunctions; iterative methods; matrix algebra; perturbation techniques; polynomials; 2-norm; Bernoulli´s method; dominant singular values; iteration scheme; largest singular value; matrix perturbation; power method; Aerospace control; Aerospace engineering; Cellular neural networks; Control systems; Convergence; Eigenvalues and eigenfunctions; H infinity control; Iterative methods; Sparse matrices; Symmetric matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer-Aided Control System Design, 1992. (CACSD), 1992 IEEE Symposium on
  • Conference_Location
    Napa, CA
  • Type

    conf

  • DOI
    10.1109/CACSD.1992.274430
  • Filename
    274430