• DocumentCode
    2706429
  • Title

    An Intrinsic CG Algorithm for Computing Dominant Subspaces

  • Author

    Kleinsteuber, Martin ; Huper, Knut

  • Author_Institution
    Canberra Res. Lab., Nat. ICT Australia, Canberra, ACT, Australia
  • Volume
    4
  • fYear
    2007
  • fDate
    15-20 April 2007
  • Abstract
    In this paper, a conjugate gradient method on the complex Grabmann manifold is proposed that computes the k-principal components of a Hermitian (n × n)-matrix. The algorithm is at most of order O(n2k) and yields locally good convergence results.
  • Keywords
    Hermitian matrices; array signal processing; conjugate gradient methods; Grabmann manifold; Hermitian matrix; array signal processing; computing dominant subspaces; conjugate gradient method; intrinsic CG algorithm; k-principal components; Australia Council; Character generation; Convergence; Eigenvalues and eigenfunctions; Geophysics computing; Gradient methods; Laboratories; Manifolds; Matrix decomposition; Signal processing algorithms; Block diagonalization; Conjugate gradient methods; Gra??mann manifold; Hermitian matrices; Principal component analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Acoustics, Speech and Signal Processing, 2007. ICASSP 2007. IEEE International Conference on
  • Conference_Location
    Honolulu, HI
  • ISSN
    1520-6149
  • Print_ISBN
    1-4244-0727-3
  • Type

    conf

  • DOI
    10.1109/ICASSP.2007.367342
  • Filename
    4218373
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2706429