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- Title
具有奇异M-矩阵结构的非线性特征值问题的正 特征向量及其牛顿迭代解.
- Authors
张成毅; 宋耀艳; 薛子臣
- Abstract
Some sufficient conditions are proposed such that nonlinear eigenvalue problem with irreducible singular M-matrix has a unique positive eigenvector. Studies show that any positive number is the eigenvalue of nonlinear eigenvalue problems and the positive eigenvector corresponding to the eigenvalue is unique. Meanwhile, the Newton iterative method is constructed for numerically solving such a positive eigenvector, and some convergence result on this iterative method are established. Finally, a numerical example is presented to show that the algorithm is effective.
- Publication
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2017, Vol 30, Issue 1, p74
- ISSN
1006-8341
- Publication type
Article
- DOI
10.13338/j.issn.1006-8341.2017.01.013