The efficiency of the row-by-row frontal method for the solution of unsymme
tric sparse linear systems of equations is dependent on the row ordering us
ed. Numerical experience has shown us that it can be advantageous to revers
e a given row ordering. We present two results on invariances under the rev
ersal of the ordering and use real applications to illustrate the variation
s that can take place upon row reversal. Copyright (C) 2001 John Wiley & So
ns, Ltd.