Scholarlink

<p>This paper investigates the quaternion linear least squares problem and presents the explicit expressions of the normwise, mixed and componentwise condition numbers for the least squares solution and its residuals. Compact and tight upper bounds for these condition numbers are provided. For equilibratory input data, tightness of the normwise condition number and upper bounds are shown in estimating the actual forward errors and the residuals of the solution. For general sparse and badly scaled problems, mixed and componentwise condition numbers are shown to be much tighter than the one based on the normwise condition number.</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

A Contribution to Condition Numbers of Quaternion Least Squares Problems

  • 期刊论文

  • 发表日期：

    2025年7月14日

查看全文
  • Qiaohua Liu,
  • Yuejuan Yu,
  • Yimin Wei

摘要

This paper investigates the quaternion linear least squares problem and presents the explicit expressions of the normwise, mixed and componentwise condition numbers for the least squares solution and its residuals. Compact and tight upper bounds for these condition numbers are provided. For equilibratory input data, tightness of the normwise condition number and upper bounds are shown in estimating the actual forward errors and the residuals of the solution. For general sparse and badly scaled problems, mixed and componentwise condition numbers are shown to be much tighter than the one based on the normwise condition number.