Stefan Kindermann, Carmeliza Navasca,
"New Algorithms for tensor decomposition based on a reduced functional"
, in Numerical Linear Algebra with Applications, Vol. 21, Nummer 3, Seite(n) 340-374, 2013, ISSN: 1099-1506
Original Titel:
New Algorithms for tensor decomposition based on a reduced functional
Sprache des Titels:
Englisch
Original Kurzfassung:
We study the least-squares functional of the canonical polyadic tensor decomposition for third order tensors
by eliminating one factor matrix, which leads to a reduced functional. An analysis of the reduced functional leads to several equivalent optimization problem, like a Rayleigh quotient or a projection. These formulations are the basis of several new algorithms: the Centroid
Projection method for efficient computation of suboptimal solutions and fixed-point iteration methods for approximating the best rank-1 and the best rank-R decompositions under certain nondegeneracy conditions.
Forschungs-