Scholarlink

Abstract <p>This article explores bounds for the eigenvalues of symmetric positive definite (SPD) tensors. We focus on trace-determinant (TDet) and trace-dependent (TDep) bounds to understand and characterize the eigenvalues of SPD tensors. By establishing inequalities, we find both upper and lower bounds, offering insights into the tensor behavior. Additionally, we compare the effectiveness of the TDet and TDep bounds in capturing the extreme eigenvalues of SPD tensors.</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

Bounding Eigenvalues of Symmetric Positive Definite Tensors: A Comparative Analysis of TDet and TDep Approaches

  • 期刊论文

  • 发表日期：

    2025年5月1日

查看全文
  • Hemant Sharma,
  • Nachiketa Mishra

摘要

Abstract

This article explores bounds for the eigenvalues of symmetric positive definite (SPD) tensors. We focus on trace-determinant (TDet) and trace-dependent (TDep) bounds to understand and characterize the eigenvalues of SPD tensors. By establishing inequalities, we find both upper and lower bounds, offering insights into the tensor behavior. Additionally, we compare the effectiveness of the TDet and TDep bounds in capturing the extreme eigenvalues of SPD tensors.