1973•IMA Journal of Applied MathematicsRequires access

On the Possibility of Replacing the Backward Transformation in the Modified Simplex Method by a Forward Transformation

M. MEZEI, T. Szondy

Abstract

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.

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Key concepts: Transformation (genetics), Transformation matrix, Simplex, Mathematics, Matrix (chemical analysis), Inverse, Stability (learning theory), Applied mathematics