A Generalization of Saad ' s Theorem
نویسنده
چکیده
Let (; x) be an eigenpair of the Hermitian matrix A of order n and let (; u) be a Ritz pair from a subspace K of C 2. Saad has given a simple inequality bounding sin \(x; u) in terms of sin \(x; K). In this note we show that this inequality can be extended to an equally simple inequality for eigenspaces of non-Hermitian matrices. ABSTRACT Let (; x) be an eigenpair of the Hermitian matrix A of order n and let (; u) be a Ritz pair from a subspace K of C n. Saad has given a simple inequality bounding sin \(x; u) in terms of sin \(x; K). In this note we show that this
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تاریخ انتشار 1999