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

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 and some...

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Bibliographic Details
Published in:	Journal of inequalities and applications Vol. 2016; no. 1; pp. 1 - 10
Main Authors:	Zhang, Cheng-yi, Song, Yao-yan, Luo, Shuanghua
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 15.09.2016 Springer Nature B.V SpringerOpen
Subjects:	Analysis Applications of Mathematics Convergence Eigenvalues Eigenvectors Inequalities Iterative methods Iterative solution Mathematical models Mathematics Mathematics and Statistics Newton-SOR iterative solution nonlinear eigenvalue problem Nonlinearity positive eigenvector Recent Advances in Eigenvalues Estimates of Special Matrices (Tensors) singular M-matrix positive eigenvector Newton-SOR iterative solution convergence 15A06 15A15 15A48 singular matrix nonlinear eigenvalue problem
ISSN:	1029-242X, 1025-5834, 1029-242X
Online Access:	Get full text
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