# An Attempt to Generate Code for Symmetric Tensor Computations

@article{Shi2021AnAT, title={An Attempt to Generate Code for Symmetric Tensor Computations}, author={Jessica Shi and Stephen Chou and Fredrik Kjolstad and Saman P. Amarasinghe}, journal={ArXiv}, year={2021}, volume={abs/2110.00186} }

Symmetric matrices, a frequently studied topic in linear algebra, can be extended to higher dimensions through symmetric tensors, which arise in domains such as computational physics and chemistry [5, 11]. The fundamental mathematical appeal of the study of symmetry also renders these tensors useful in contexts ranging from a rather beautiful equivalence with homogenous polynomials [3] to more concrete applications, including decompositions [9] and finding eigenvalues [8]. Knowing about a…

## One Citation

### Looplets: A Language For Structured Coiteration

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This work shows how to abstract over array structures so that the compiler can generate code to coiterate over any combination of them, which enables new array formats, new iteration strategies, and new operations over structured data.

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