engleski

Relative perturbation theory for a class of diagonalizable Hermitian matrix pairs

Veseli\'{;c}; and Slapni\v{;c};ar gave a general perturbation result for the eigenvalues of the Hermitian matrix pair $(H, K)$, where $K$ is positive definite. In this paper their result is generalized to a wider class of Hermitian matrix pairs. Especially, estimates for the relative perturbation of eigenvalues of definite pairs are also obtained.

eigenvalues; matrix pairs; perturbation theory

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