Abstract
Systematic methods of the solution of linear Diophantine systems of equations and their application in decomposing complex chemical reactions are presented. The Contejean–Devie algorithm is improved. A new, linear programming based enumerative algorithm is described, which is applicable to large systems with large solutions. Mathematica implementations are tested and compared in important chemical examples.
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Papp, D., Vizvári, B. Effective solution of linear Diophantine equation systems with an application in chemistry. J Math Chem 39, 15–31 (2006). https://doi.org/10.1007/s10910-005-9001-9
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DOI: https://doi.org/10.1007/s10910-005-9001-9