@inproceedings{5358cb2d77b4477c8588782714bcae90,
title = "A logarithmic cost function for principal singular component analysis",
abstract = "An un-unconstrained optimization problem involving logarithmic cost function that incorporates a diagonal matrix is utilized for deriving gradient dynamical systems that converge to the principal singular components of arbitrary matrix. The equilibrium points of the resulting gradient systems are determined and their stability is thoroughly analyzed. Qualitative properties of the proposed systems are analyzed in detail including the limit of solutions as time approaches infinity. The performance of this system is also examined.",
keywords = "Asymptotic stability, Global convergence, Principal singular flow, SVD, Unconstrained optimization",
author = "Hasan, {Mohammed A.}",
year = "2008",
doi = "10.1109/ICASSP.2008.4518014",
language = "English (US)",
isbn = "1424414849",
series = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",
pages = "1933--1936",
booktitle = "2008 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP",
note = "2008 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP ; Conference date: 31-03-2008 Through 04-04-2008",
}