An equi-directional generalization of adaptive cross approximation, for higher-order tensors

作者：Bebendorf M^*; Kuehnemund A; Rjasanow S

来源：Applied Numerical Mathematics, 2013, 74: 1-16.

DOI：10.1016/j.apnum.2013.08.001

• Adaptive cross approximation
• Tensor decomposition
• Eigenvalues of tensors

A scheme for the equi-directional approximation of third-order tensors by sums of products of vectors is presented and analyzed. The new method is a generalization of the adaptive cross approximation (ACA) method initially designed for the low-rank approximation of matrices using only few of its original entries. Moreover, a recursive formula is presented which generalizes the three-way ACA to tensors of arbitrary order.

• 出版日期2013-12