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- W4377091046 abstract "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." @default.
- W4377091046 created "2023-05-20" @default.
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- W4377091046 date "2023-09-01" @default.
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- W4377091046 title "On the Moore-Penrose pseudo-inversion of block symmetric matrices and its application in the graph theory" @default.
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- W4377091046 doi "https://doi.org/10.1016/j.laa.2023.05.016" @default.
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