• Corpus ID: 226237267

Higher order differential analysis with vectorized derivatives

  title={Higher order differential analysis with vectorized derivatives},
  author={Jos'e E. Chac'on and Tarn Duong},
  journal={arXiv: Classical Analysis and ODEs},
Higher order derivatives of functions are structured high dimensional objects which lend themselves to many alternative representations, with the most popular being multi-index, matrix and tensor representations. The choice between them depends on the desired analysis since each presents its own advantages and disadvantages. In this paper, we highlight a vectorized representation, in which higher order derivatives are expressed as vectors. This allows us to construct an elegant and rigorous… 

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