id: 06081651 dt: j an: 06081651 au: Hama, Muzafar F. ti: A technique to have a convergence for the QR algorithm. so: Int. J. Algebra 6, No. 1-4, 65-72 (2012). py: 2012 pu: Hikari Ltd, Ruse la: EN cc: ut: eigenvalues; QR francis method; Godunov matrix and shift ci: li: http://www.m-hikari.com/ija/ija-2012/ija-1-4-2012/index.html ab: Summary: We propose the constant $h := ||Z|| + 1$, for a given matrix norm, to separate two eigenvalues which have the same modulus. This constant allows us to generalize the theorem of convergence of the Francis’ QR method for a matrix $Z$ which has distinct eigenvalues. This constant implies the convergence of the QR method for Godunov matrix. rv: