Abstract
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 systems. However, we prove the existence of the Q.I.F. when A is diagonally dominant in addition to non-singularity.
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