@article {17732, title = {Rounding errors in solving block Hessenberg systems}, journal = {Mathematics of Computation}, volume = {65}, year = {1996}, month = {1996/01//}, pages = {115 - 135}, 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 stable solution. The algorithm is shown to be stable for block diagonally dominant matrices and for M-matrices.}, keywords = {block diagonally dominant matrices, block Hessenberg matrices, Linear systems, M-matrices, rounding error analysis}, isbn = {0025-5718}, doi = {10.1090/S0025-5718-96-00667-9}, url = {http://dx.doi.org/10.1090/S0025-5718-96-00667-9}, author = {Von Matt,Urs and Stewart, G.W.} }