Numerical multilinear algebra (or called tensor computation), in which instead of matrices and vectors the higher-order tensors are considered in numerical viewpoint, is a new branch of computational mathematics. Although it is an extension of numerical linear algebra, it has many essential differences from numerical linear algebra and more difficulties than it. In this paper, we present a survey on the state of the art knowledge on this topic, which is incomplete, and indicate some new trends for further research. Our survey also contains a detailed bibliography as its important part. We hope that this new area will be receiving more attention of more scholars.
- Higher order tensor
- Lower rank approximation of tensor
- Multi-way data analysis
- Numerical multilinear algebra
- Tensor decomposition
ASJC Scopus subject areas
- Mathematics (miscellaneous)