A preliminary report on the development of MATLAB tensor classes for fast algorithm prototyping.

Technical Report · Thu Jul 01 00:00:00 EDT 2004

DOI:https://doi.org/10.2172/974887· OSTI ID:974887

Bader, Brett William; Kolda, Tamara Gibson ^[1]

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1. Sandia National Laboratories, Livermore, CA

We describe three MATLAB classes for manipulating tensors in order to allow fast algorithm prototyping. A tensor is a multidimensional or N-way array. We present a tensor class for manipulating tensors which allows for tensor multiplication and 'matricization.' We have further added two classes for representing tensors in decomposed format: cp{_}tensor and tucker{_}tensor. We demonstrate the use of these classes by implementing several algorithms that have appeared in the literature.

• Research Organization: Sandia National Laboratories
• Sponsoring Organization: USDOE
• DOE Contract Number: AC04-94AL85000
• OSTI ID: 974887
• Report Number(s): SAND2004-3487
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
99 GENERAL AND MISCELLANEOUS
ALGORITHMS
COMPUTER CODES
Calculus of tensors.
Image analysis.
Image processing.
TENSORS