Orthogonal tensor decompositions

SIAM Journal on Matrix Analysis and Applications

Volumn 23, Issue 1, 2002, Pages 243-255

  Kolda, Tamara G ^a  

^a SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

Multidimensional arrays; Principal components analysis; Singular value decomposition; Tensor decomposition

Indexed keywords

EID: 0036055687     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479800368354     Document Type: Article

References (15)

1. Analysis of individual differences in multidimensional scaling via an n-way generalization of "Eckart-Young" decomposition
2. Orthogonal tensor decomposition of 3-way tables
3. The approximation of one matrix by another of lower tank
4. Multiway arrays: Some algebraic remarks
5. An approach to n-mode components analysis
6. Principal component analysis of three-mode data by means of alternating least squares algorithms
7. Three-way arrays: Rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics
8. Rank, decomposition, and uniqueness for 3-way and n-way arrays
9. A singular value decomposition of a k-way array for principal component analysis of multiway data, PTA-k
10. Some mathematical notes on three-mode factor analysis
11. Rank-one approximation fo high order tensors