具有treeangle性质的矩阵的Moore-Penrose逆的图

中文摘要 AI 辅助

已知满足treeangle性质的可逆实方阵的逆是treediagonal矩阵，其逆命题也成立。我们证明对于Moore-Penrose逆，逐字对应的类比不成立，并获得了具有treeangle性质的矩阵的Moore-Penrose逆所对应图的精确结构。

英文摘要

It is known that the inverse of an invertible real square matrix satisfying the treeangle property, is a treediagonal matrix. A converse statement also holds. We show that the verbatim analogues are not true for the Moore-Penrose inverse, and obtain the precise structure of graphs corresponding to the Moore-Penrose inverse of matrices possessing the treeangle property.

发表机构

• Universitat Politècnica de Catalunya（加泰罗尼亚理工大学）
• Indian Institute of Technology Madras（印度马德拉斯理工学院）

机构由 AI 辅助整理，请以论文原文为准。