Article ID Journal Published Year Pages File Type
4628993 Applied Mathematics and Computation 2013 11 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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