@article {17733, title = {Rounding Errors in Solving Block Hessenberg Systems}, volume = {UMIACS-TR-94-105}, year = {1998}, month = {1998/10/15/}, institution = {Instititue for Advanced Computer Studies, Univ of Maryland, College Park}, abstract = {A rounding error analysis is presented for a divide-and-conquer algorithm to solve linear systems with block Hessenberg matrices. Conditions are derived under which the algorithm computes a backward stable solution. The algorithm is shown to be stable for diagonally dominant matrices and for M-matrices. (Also cross-referenced as UMIACS-TR-94-105) }, keywords = {Technical Report}, url = {http://drum.lib.umd.edu/handle/1903/661}, author = {Von Matt,Urs and Stewart, G.W.} }