Abstract
Let ( λ, x) be an eigenpair of the matrix A of order n and let ( μ, u) be a Ritz pair of A with respect to a subspace K . Saad has derived a simple priori error bound for sin∠( x, u) in terms of sin∠(x, K) for A Hermitian. Similar to Saad's result, Stewart has got an equally simple inequality for A non-Hermitian. In this paper, let ( θ, w) be a harmonic Ritz pair from a subspace K , a similar priori error bound for sin∠( x, w) is established in terms of sin∠(x, K) .
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