Scholarlink

<p>A third order tensor is a three-way array which can be used to describe high dimensional data-set in dimensional reduction and clustering. In this paper, we mainly study the third order tensors. We introduce the slice identity tensor after the introduction of the slice product and Kronecker product defined on the set of third order tensors, and then we investigate the invertibility of the 3-order tensors in terms of the slice product. We also introduce the slice-diagonal tensors and investigate their spectrums.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

On Third Order Tensors and Their Products

  • 期刊论文

  • 发表日期：

    2025年5月5日

查看全文
  • Li Wang,
  • Changqing Xu,
  • Yiran Xu,
  • Ziqi Zhai

摘要

A third order tensor is a three-way array which can be used to describe high dimensional data-set in dimensional reduction and clustering. In this paper, we mainly study the third order tensors. We introduce the slice identity tensor after the introduction of the slice product and Kronecker product defined on the set of third order tensors, and then we investigate the invertibility of the 3-order tensors in terms of the slice product. We also introduce the slice-diagonal tensors and investigate their spectrums.