On the existence of solutions in systems of linear Diophantine equations

DOI10.1007/s13398-011-0044-4zbMath1348.11025OpenAlexW2152136218MaRDI QIDQ692309

Antonio Hernando, Luis de Ledesma

Publication date: 5 December 2012

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-011-0044-4

zbMATH Keywords

linear system over the integerstesters

Mathematics Subject Classification ID

Diophantine equations in many variables (11D72) Linear Diophantine equations (11D04)

Cites Work

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• New methods for proving the impossibility to solve problems through reduction of problem spaces
• Efficient solution of linear diophantine equations
• An algorithm to generate the basis of solutions to homogeneous linear Diophantine equations
• An efficient incremental algorithm for solving systems of linear diophantine equations
• A fast method for finding the basis of non-negative solutions to a linear diophantine equation
• Showing the non-existence of solutions in systems of linear Diophantine equations
• Algorithms for the Solution of Systems of Linear Diophantine Equations
• Bounds on Positive Integral Solutions of Linear Diophantine Equations
• On Systems of Linear Diophantine Equations

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