Abstract
Tensors are multiarray data of real (complex) cell values similar to contingency tables of integer cell values which is familar to statisticians. Needless to say, multiway data arise in various applied field and theorefore the need of methods of analysing such array data is quite high. The essence of data analysis is in decomposing data and extracting important components. In this article, we focus on the parafac decomposition of multiarray datum and especially on rank problem of PARAFAC decompositions from computational algebraic views.
