In this note we consider the problem of ParaTuck-2 decomposition of a complex three-way tensor.We provide an algebraic algorithm for finding the rank-2 decomposition for ParaTuck-2 tensors.Our approach relies only on linear algebra operations and is based on finding the kernel of a structured matrix constructed from the tensor.

翻译：本文研究复三阶张量的ParaTuck-2分解问题。我们提出了一种代数算法，用于寻找ParaTuck-2张量的秩-2分解。该方法仅依赖于线性代数运算，其核心在于寻找由张量构造的结构化矩阵的核。