Loading...
Loading...

Go to the content (press return)

Generalizing the bottleneck matrix

Author
Carmona, A.; Encinas, A.; Mitjana, M.; Monso, E.
Type of activity
Presentation of work at congresses
Name of edition
22nd-Conference of the International Linear Algebra Society
Date of publication
2019
Presentation's date
2019-07-09
Book of congress proceedings
Libro de ACTAS- 22nd Conference of the International Linear Algebra Society (ILAS)
First page
1
Last page
6
Repository
http://hdl.handle.net/2117/169044 Open in new window
Abstract
Given the Laplacian matrix associated to a weighted graph and given x a single vertex of it, the bottleneck matrix (related to x) is the inverse matrix of the sub matrix of the Laplacian obtained by eliminating the row and the column corresponding to x. The bottleneck matrix is used to calculate the group inverse of the initial Laplacian matrix, for instance. In this work we have managed to generalize this situation twofold: in the sense of considering symmetric M–matrices related to Schr¨odi...
Keywords
Bottleneck matrix, Green’s function, Group–inverse matrix, M-matrix, Schrodinger operator
Group of research
MAPTHE - Matrix Analysis and Discrete Potential Theory

Participants