Orthogonal tensor decompositions
- 8950
The authors explore the orthogonal decomposition of tensors (also known as multi-dimensional arrays or n-way arrays) using two different definitions of orthogonality. They present numerous examples to illustrate the difficulties in understanding such decompositions. They conclude with a counterexample to a tensor extension of the Eckart-Young SVD approximation theorem by Leibovici and Sabatier [Linear Algebra Appl. 269(1998):307--329].
- Research Organization:
- Sandia National Labs., Albuquerque, NM (US); Sandia National Labs., Livermore, CA (US)
- Sponsoring Organization:
- US Department of Energy (US)
- DOE Contract Number:
- AC04-94AL85000
- OSTI ID:
- 755101
- Report Number(s):
- SAND2000-8566
- Country of Publication:
- United States
- Language:
- English
Similar Records
Genten: Software for Generalized Tensor Decompositions v. 1.0.0
Nontraditional tensor decompositions and applications.
Irreducible tensor operators in the regular coaction formalisms of compact quantum group algebras
Software
·
Wed Jun 21 20:00:00 EDT 2017
·
OSTI ID:code-45463
Nontraditional tensor decompositions and applications.
Conference
·
Thu Jul 01 00:00:00 EDT 2010
·
OSTI ID:1021101
Irreducible tensor operators in the regular coaction formalisms of compact quantum group algebras
Journal Article
·
Sun Sep 01 00:00:00 EDT 1996
· Journal of Mathematical Physics
·
OSTI ID:434683