%0 Journal Article
%J Mathematics of Computation
%D 1996
%T Rounding errors in solving block Hessenberg systems
%A Von Matt,Urs
%A Stewart, G.W.
%K block diagonally dominant matrices
%K block Hessenberg matrices
%K Linear systems
%K M-matrices
%K rounding error analysis
%X 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.
%B Mathematics of Computation
%V 65
%P 115 - 135
%8 1996/01//
%@ 0025-5718
%G eng
%U http://dx.doi.org/10.1090/S0025-5718-96-00667-9
%N 213
%R 10.1090/S0025-5718-96-00667-9