| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8901404 | Applied Mathematics and Computation | 2018 | 13 Pages |
Abstract
In this paper, we estimate the Nekrasov diagonally dominant degree on the Schur complement of Nekrasov matrices. As an application, we offer new bounds of the determinant for several special matrices, which improve the related results in certain case. Further, we give an estimation on the infinity norm bounds for the inverse of Schur complement of Nekrasov matrices. Finally, we introduce new methods called Schur-based super relaxation iteration (SSSOR) method and Schur-based conjugate gradient (SCG) method to solve the linear equation by reducing order. The numerical examples illustrate the effectiveness of the derived result.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jianzhou Liu, Juan Zhang, Lixin Zhou, Gen Tu,