Backward Error Bounds for Approximate Krylov Subspaces

TitleBackward Error Bounds for Approximate Krylov Subspaces
Publication TypeReports
Year of Publication2001
AuthorsStewart G.W
Date Published2001/05/10/
InstitutionInstititue for Advanced Computer Studies, Univ of Maryland, College Park
KeywordsTechnical Report
Abstract

Let $A$ be a matrix of order $n$ and let $\clu\subset\comp^{n}$ be asubspace of dimension $k$. In this note we determine a matrix $E$ of
minimal norm such that $\clu$ is a Krylov subspace of $A+E$.
(Cross-referenced as UMIACS-TR-2001-32)
URLhttp://drum.lib.umd.edu/handle/1903/1133