A fast method for finding the basis of non-negative solutions to a linear diophantine equation
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Publication:1907269
DOI10.1006/jsco.1995.1029zbMath0841.11066OpenAlexW2091550507MaRDI QIDQ1907269
Ana Paula Tomás, Miguel Filgueiras
Publication date: 5 March 1996
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jsco.1995.1029
Computer solution of Diophantine equations (11Y50) Congruences in many variables (11D79) Linear Diophantine equations (11D04)
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An algorithm for constructing the basis of the solution set for systems of linear Diophantine equations over the ring of integers ⋮ Inside factorial monoids and the Cale monoid of a linear Diophantine equation ⋮ Algorithms for solution of systems of linear Diophantine equations in residue fields ⋮ On the existence of solutions in systems of linear Diophantine equations ⋮ ABS algorithms for Diophantine linear equations and integer LP problems ⋮ Combinatorial method for solving systems of linear constraints ⋮ Showing the non-existence of solutions in systems of linear Diophantine equations ⋮ Methods of solution and criteria of consistency of systems of linear Diophantine equations over the set of natural numbers
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