A general framework for SVD flows and joint SVD flows

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

Volumn 2, Issue , 2003, Pages 693-696

  Hori, Gen ^a  

^a RIKEN BRAIN SCIENCE INSTITUTE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; EIGENVALUES AND EIGENFUNCTIONS; HEURISTIC METHODS;

CONTINUOUS ALGORITHMS;

SIGNAL PROCESSING;

EID: 0141565181     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (6)

1. U. Helmke and J.B. Moore, Optimization and dynamical systems, Addison-Wesley, 1994.
2. U. Helmke and J.B. Moore, "Singular value decomposition via gradient and self equivalent flows," Linear Algebra Appl., vol. 69, pp. 223-248, 1992.
3. M.T. Chu and K.R. Driessel, "The projected gradient method for least squares matrix approximations with spectral constraints," SIAM J. Numer. Anal, vol. 27, pp. 1050-1060, 1990.
4. S.T. Smith, "Dynamical systems that perform the singular value decomposition," System and Control Letters, vol. 16, pp. 319-328, 1991.
5. J.H. Manton, "Optimisation algorithms exploiting unitary constraints," IEEE Trans. Signal Processing, vol. 50, pp. 635-650, 2002.
6. A. Edelman, T.A. Arias, and S.T. Smith, "The geometry of algorithms with orthogonality constraints," SIAM J. Matrix Anal. Appl., vol. 20, pp. 303-353, 1998.