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Abstract: In this paper, we have used a complete pivoting strategy to compute the left-looking version of preconditioner. This pivoting is based on the complete pivoting strategy of the version of Gaussian Elimination process. There is a parameter to control the pivoting process. To study the effect of on the quality of the left-looking version of preconditioner with complete pivoting strategy, we have used ten different values of this parameter. In the numerical experiments section, the quality of the left-looking version of preconditioner with complete pivoting strategy has been compared to the quality of the right-looking version of this preconditioner. [Copyright &y& Elsevier]

We present an incomplete UL (IUL) decomposition of matrix A which is extracted as a by-product of BFAPINV (backward factored approximate inverse) process. We term this IUL factorization as IULBF.We have used ILUFF [3] and IULBF as left preconditioner for linear systems. Different versions of ILUFF and IULBF preconditioners are computed by using different dropping techniques. In this paper, we compare quality of different versions of ILUFF and IULBF preconditioners. [ABSTRACT FROM AUTHOR]