Weyl-type relative perturbation bounds for eigensystems of Hermitian matrices
نویسندگان
چکیده
منابع مشابه
Weyl-type relative perturbation bounds for eigensystems of Hermitian matrices
We present a Weyl-type relative bound for eigenvalues of Hermitian perturbations A + E of (not necessarily definite) Hermitian matrices A. This bound, given in function of the quantity η = ‖A−1/2EA−1/2‖2, that was already known in the definite case, is shown to be valid as well in the indefinite case. We also extend to the indefinite case relative eigenvector bounds which depend on the same qua...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2000
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(00)00018-5