Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628993 | Applied Mathematics and Computation | 2013 | 11 Pages |
Abstract
Based on Theorem 2.1 of [Z.-Z. Bai, M.K. Ng, Z.-Q. Wang, Constraint preconditioners for symmetric indefinite matrices, SIAM J. Matrix Anal. Appl., 31 (2009), pp. 410–433] we present the eigenvalue bounds of two classes of two-by-two block indefinite matrices. Our results extend the existing ones about two-by-two block nonsingular and symmetric indefinite matrices with symmetric positive definite (1, 1) block. Numerical examples confirm that our estimated eigenvalue bounds are sharp and effective in practice.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Wei-wei Xu,