Mk. Kadalbajoo et al., EXISTENCE OF THE NEW QUADRANT INTERLOCKING FACTORIZATION FOR PARALLELSOLUTION OF TRIDIAGONAL LINEAR-SYSTEMS, International journal of computer mathematics, 48(1-2), 1993, pp. 95-103
We give a counter example which shows that the non-singularity of the
tridiagonal matrix A is not the sufficient condition for the existence
of the new quadrant interlocking factorization (Q.I.F.) given by M. M
. Chawla and K. Passi [1] for the solution of tridiagonal linear syste
ms. However, we prove the existence of the Q.I.F. when A is diagonally
dominant in addition to non-singularity.