中文

某些四元数矩阵方程的最小范数最小二乘解的显式表示公式

环与代数 2013-01-29 v1

摘要

在列行列式和行行列式理论的框架下,我们得到了四元数矩阵方程AX=B{\bf A} {\bf X} = {\bf B}XA=B{\bf X} {\bf A} = {\bf B}AXB=D{\bf A} {\bf X} {\bf B} = {\bf D}的最小范数最小二乘解的显式表示公式(Cramer法则的类似物)。

关键词

引用

@article{arxiv.1204.1986,
  title  = {Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations},
  author = {Ivan Kyrchei},
  journal= {arXiv preprint arXiv:1204.1986},
  year   = {2013}
}

备注

arXiv admin note: text overlap with arXiv:1005.0736 and arXiv:1004.4380