TY - JOUR
T1 - Rounding errors in solving block Hessenberg systems
JF - Mathematics of Computation
Y1 - 1996
A1 - Von Matt,Urs
A1 - Stewart, G.W.
KW - block diagonally dominant matrices
KW - block Hessenberg matrices
KW - Linear systems
KW - M-matrices
KW - rounding error analysis
AB - 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.
VL - 65
SN - 0025-5718
UR - http://dx.doi.org/10.1090/S0025-5718-96-00667-9
CP - 213
M3 - 10.1090/S0025-5718-96-00667-9
ER -