A multilinear singular value decomposition Export

@article{citeulike:4308452, abstract = {Abstract. We discuss a multilinear generalization of the singular value decomposition. There is a strong analogy between several properties of the matrix and the higher-order tensor decomposition; uniqueness, link with the matrix eigenvalue decomposition, first-order perturbation effects, etc., are analyzed. We investigate how tensor symmetries affect the decomposition and propose a multilinear generalization of the symmetric eigenvalue decomposition for pair-wise symmetric tensors.}, author = {De Lathauwer, Lieven and De Moor, Bart and Vandewalle, Joos}, citeulike-article-id = {4308452}, citeulike-linkout-0 = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.102.9135}, journal = {SIAM J. Matrix Anal. Appl}, keywords = {tensor}, pages = {1253--1278}, posted-at = {2009-04-14 21:10:08}, priority = {2}, title = {A multilinear singular value decomposition}, url = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.102.9135}, volume = {21}, year = {2000} }

TY - JOUR ID - citeulike:4308452 L3 - citeulike-article-id:4308452 N2 - Abstract. We discuss a multilinear generalization of the singular value decomposition. There is a strong analogy between several properties of the matrix and the higher-order tensor decomposition; uniqueness, link with the matrix eigenvalue decomposition, first-order perturbation effects, etc., are analyzed. We investigate how tensor symmetries affect the decomposition and propose a multilinear generalization of the symmetric eigenvalue decomposition for pair-wise symmetric tensors. JF - SIAM J. Matrix Anal. Appl EP - 1278 TI - A multilinear singular value decomposition VL - 21 SP - 1253 KW - tensor AU - De Lathauwer, Lieven AU - De Moor, Bart AU - Vandewalle, Joos PY - 2000/// UR - http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.102.9135 ER -