# Backward Error Bounds for Approximate Krylov Subspaces

 Title Backward Error Bounds for Approximate Krylov Subspaces Publication Type Reports Year of Publication 2001 Authors Stewart G.W Date Published 2001/05/10/ Institution Instititue for Advanced Computer Studies, Univ of Maryland, College Park Keywords Technical 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) URL http://drum.lib.umd.edu/handle/1903/1133