Abstract
Throughout the development of the simplex method in Chapter 2 the basis and its inverse have played a particularly important role. At certain stages of the solution algorithm the inverse of the basis was needed to update row and/or column vectors as required by the simplex method. The typical operations were
and
(not exactly with these vectors). Thus there is a need to maintain the inverse of the basis in some form to be able to perform these operations.
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© 2003 Springer Science+Business Media New York
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Maros, I. (2003). Basis Inverse, Factorization. In: Computational Techniques of the Simplex Method. International Series in Operations Research & Management Science, vol 61. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0257-9_8
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DOI: https://doi.org/10.1007/978-1-4615-0257-9_8
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