Jd. Carpinelli et Ay. Oruc, A NONBACKTRACKING MATRIX DECOMPOSITION ALGORITHM FOR ROUTING ON CLOS NETWORKS, IEEE transactions on communications, 41(8), 1993, pp. 1245-1251
A number of matrix decomposition schemes were reported for routing on
Clos switching networks. These schemes occasionally fail to find the r
ight decomposition, unless backtracking is used. This paper shows that
a partition may occur during the decomposition process, and that this
is the underlying reason these algorithms fail for some decomposition
s. It then presents a parallel algorithm which can recognize when a pa
rtition exists and set up the Clos network without backtracking.