Scholarlink

<p>When equipped with the Einstein product, even-order tensors with unique structures are used to model elasticity and image restoration problems. The solvability and stability of such formations are of practical importance. Of many methods, the pseudospectral way to analyze the stability of matrix equations is followed in many kinds of research. This paper has studied the S-pseudospectra of even-order tensors and their Kronecker product. The linear map preserving the S-pseudospectrum of even-order tensors is characterized. We developed results useful for stability analysis of tensor equations. The stability analysis of tensors appearing in elasticity and image restoration problems are illustrated.</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

Pseudospectrum of Kronecker product and stability analysis of tensor equations

  • 期刊论文

  • 发表日期：

    2025年1月31日

查看全文
  • G. Krishna Kumar,
  • R. J. Renjini

摘要

When equipped with the Einstein product, even-order tensors with unique structures are used to model elasticity and image restoration problems. The solvability and stability of such formations are of practical importance. Of many methods, the pseudospectral way to analyze the stability of matrix equations is followed in many kinds of research. This paper has studied the S-pseudospectra of even-order tensors and their Kronecker product. The linear map preserving the S-pseudospectrum of even-order tensors is characterized. We developed results useful for stability analysis of tensor equations. The stability analysis of tensors appearing in elasticity and image restoration problems are illustrated.