Aspects of large-scale in-core linear programming
ACM '71 Proceedings of the 1971 26th annual conference
Modeling languages versus matrix generators for linear programming
ACM Transactions on Mathematical Software (TOMS)
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A number of features of the APEX-I and/or APEX-III Mathematical Programming Systems that were novel when they were introduced are discussed. These include the use of supersparsity, a numerically stable variant of the Hellerman-Rarick invert, some extensions to matrix reduction algorithms new and methods of model analysis. There is a short discussion of development methodology and overall data structure in the systems. Finally a short discussion of some promising areas of future development is presented.