Demmel, James The condition number of equivalence transformations that block diagonalize matrix pencils. (English) Zbl 0509.65020 SIAM J. Numer. Anal. 20, 599-610 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 24 Documents MSC: 65F35 Numerical computation of matrix norms, conditioning, scaling 15A12 Conditioning of matrices 15A18 Eigenvalues, singular values, and eigenvectors 15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory 47A60 Functional calculus for linear operators 65F15 Numerical computation of eigenvalues and eigenvectors of matrices Keywords:condition number; equivalence transformations; ill-conditioned; analytic functions of matrices; spectral condition number; block diagonalization; angle between subspaces; optimal condition number; block diagonal scaling PDF BibTeX XML Cite \textit{J. Demmel}, SIAM J. Numer. Anal. 20, 599--610 (1983; Zbl 0509.65020) Full Text: DOI