On the Possibility of Replacing the Backward Transformation in the Modified Simplex Method by a Forward Transformation
M. MEZEI, T. Szondy · IMA Journal of Applied Mathematics · 1973
It is shown that every backward transformation of the modified simplex method can be replaced by a forward transformation if both the original matrix and its transposed form are stored and transformed by two separate sets of inverse matrix factors. Replacing a backward transformation by a forward transformation may improve both numerical stability and speed.