Mm. Chawla et Rr. Khazal, PARALLEL ELIMINATION IN PARTITIONED TRIDIAGONAL SYSTEMS, International journal of computer mathematics, 58(3-4), 1995, pp. 249-252
We show classical elimination procedure can be simply extended to unco
uple partitioned tridiagonal systems for parallel processing of their
solution. In each block of equations, we now need two simultaneous eli
minations; one usual forward elimination and one backward from across
the succeeding block. Significantly, unlike Wang's method [6], our is
a one-stage elimination procedure, at the end of which the core system
is reached. Once the core system is solved, the uncoupled subsystems
are solved in parallel by back substitution.