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

Brett W. Bader | Zendy; Tamara G. Kolda | Zendy

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

Author(s) -

Brett W. Bader,

Tamara G. Kolda

Publication year - 2004

Language(s) - English

Resource type - Reports

DOI - 10.2172/974887

Subject(s) - tensor (intrinsic definition) , matlab , class (philosophy) , computer science , tensor contraction , tensor calculus , rapid prototyping , algorithm , computational science , multiplication (music) , algebra over a field , tensor product , mathematics , exact solutions in general relativity , tensor field , programming language , pure mathematics , artificial intelligence , combinatorics , engineering , mathematical analysis , mechanical engineering

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

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