The High Relative Accuracy of Computations with Laplacian Matrices

Autor: Héctor Orera, Juan Manuel Peña
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Mathematics, Vol 12, Iss 22, p 3491 (2024)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math12223491
Popis: This paper provides an efficient method to compute an LDU decomposition of the Laplacian matrix of a connected graph with high relative accuracy. Several applications of this method are presented. In particular, it can be applied to efficiently compute the eigenvalues of the mentioned Laplacian matrix. Moreover, the method can be extended to graphs with weighted edges.
Databáze: Directory of Open Access Journals