TY - GEN
T1 - Low rank approximation of a set of matrices
AU - Hasan, Mohammed A.
PY - 2010/8/31
Y1 - 2010/8/31
N2 - In this paper, we present dynamical systems for computing the low rank approximation of a single matrix and of a set of matrices. These dynamical systems arise from solving an optimization problem involving these matrices. The proposed methods are based on applying smooth optimization techniques on smooth manifolds. Many of these systems are then modified to obtain power-like methods for computing a few dominant singular triplets of large matrices simultaneously.
AB - In this paper, we present dynamical systems for computing the low rank approximation of a single matrix and of a set of matrices. These dynamical systems arise from solving an optimization problem involving these matrices. The proposed methods are based on applying smooth optimization techniques on smooth manifolds. Many of these systems are then modified to obtain power-like methods for computing a few dominant singular triplets of large matrices simultaneously.
KW - Constrained optimization
KW - Low-rank matrix approximation of multiple matrices
KW - Principal singular flow
KW - Singular value decomposition
KW - Stiefel manifold
UR - http://www.scopus.com/inward/record.url?scp=77955998462&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77955998462&partnerID=8YFLogxK
U2 - 10.1109/ISCAS.2010.5537821
DO - 10.1109/ISCAS.2010.5537821
M3 - Conference contribution
AN - SCOPUS:77955998462
SN - 9781424453085
T3 - ISCAS 2010 - 2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems
SP - 3517
EP - 3520
BT - ISCAS 2010 - 2010 IEEE International Symposium on Circuits and Systems
T2 - 2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems, ISCAS 2010
Y2 - 30 May 2010 through 2 June 2010
ER -