Scholarlink

<p>This paper focuses on the quaternion Givens QR decomposition, and analyses its rounding error. First of all, we give the rounding errors of parameters of the quaternion Givens rotation by some quaternion floating-point operation rules. Subsequently, for the quaternion Givens QR decomposition, we research its backward rounding error by dividing Givens rotations into some disjoint Givens rotation groups. In the end, in light of the aforementioned results, we analyse the backward rounding error of the quaternion least squares (QLS) problem with column full rank.</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

The backward rounding error analysis of the quaternion Givens QR decomposition

  • 期刊论文

  • 发表日期：

    2025年1月2日

查看全文
  • Fengxia Zhang,
  • Yuqing Zhang,
  • Zhihan Zhou,
  • Musheng Wei

摘要

This paper focuses on the quaternion Givens QR decomposition, and analyses its rounding error. First of all, we give the rounding errors of parameters of the quaternion Givens rotation by some quaternion floating-point operation rules. Subsequently, for the quaternion Givens QR decomposition, we research its backward rounding error by dividing Givens rotations into some disjoint Givens rotation groups. In the end, in light of the aforementioned results, we analyse the backward rounding error of the quaternion least squares (QLS) problem with column full rank.