Positive eigenvector of nonlinear eigenvalue problem with a singular M-matrix and Newton-SOR iterative solution

Abstract Some sufficient conditions are proposed in this paper such that the nonlinear eigenvalue problem with an irreducible singular M-matrix has a unique positive eigenvector. Under these conditions, the Newton-SOR iterative method is proposed for numerically solving such a positive eigenvector a...

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Principais autores:	Cheng-yi Zhang, Yao-yan Song, Shuanghua Luo
Formato:	Artigo
Idioma:	Inglês
Publicado em:	SpringerOpen 2016-09-01
coleção:	Journal of Inequalities and Applications
Assuntos:	singular M-matrix nonlinear eigenvalue problem positive eigenvector Newton-SOR iterative solution convergence
Acesso em linha:	http://link.springer.com/article/10.1186/s13660-016-1169-y
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