论文标题
关于块对称矩阵的摩尔 - 铜伪及其在图理论中的应用
On the Moore-Penrose pseudo-inversion of block symmetric matrices and its application in the graph theory
论文作者
论文摘要
本文的目的是分析与图理论中应用的对称真实矩阵的摩尔 - 纯伪插入。我们介绍了一个新颖的伪造矩阵和图形的新颖概念。我们还为块对称矩阵的元素提供了足够的条件，该矩阵产生了其摩尔 - 柔性伪内的明确形式。使用伪内矩阵的显式形式，我们可以通过添加吊坠顶点或吊坠路径来构造一类图形的伪截图图。
The purpose of this paper is to analyze the Moore-Penrose pseudo-inversion of symmetric real matrices with application in the graph theory. We introduce a novel concept of positively and negatively pseudo-inverse matrices and graphs. We also give sufficient conditions on the elements of a block symmetric matrix yielding an explicit form of its Moore-Penrose pseudo-inversion. Using the explicit form of the pseudo-inverse matrix we can construct pseudo-inverse graphs for a class of graphs which are constructed from the original graph by adding pendent vertices or pendant paths.
