Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634729 | Applied Mathematics and Computation | 2008 | 13 Pages |
Abstract
Positive eigenvector of nonlinear perturbations of nonsymmetric M-matrix and its Newton iterative solution are studied. It is shown that any number greater than the smallest positive eigenvalue of the M-matrix is an eigenvalue of the nonlinear problem and that the corresponding positive eigenvector is unique and the Newton iteration of the positive eigenvector is convergent. Moreover, such positive eigenvectors form a monotone increasing and continuous function of the corresponding eigenvalues.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yao-tang Li, Shi-liang Wu, Da-ping Liu,