Effective solution of linear Diophantine equation systems with an application in chemistry

DOI10.1007/s10910-005-9001-9zbMath1131.11327OpenAlexW1979792192MaRDI QIDQ2503714

Béla Vizvári, David Papp

Publication date: 22 September 2006

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-005-9001-9

zbMATH Keywords

linear programminglinear Diophantine equationsdecomposition of overall reaction

Mathematics Subject Classification ID

Linear programming (90C05) Computer solution of Diophantine equations (11Y50) Linear Diophantine equations (11D04)

Related Items (6)

Modified Newton-SSTS method for solving a class of nonlinear systems with complex symmetric Jacobian matrices ⋮ Inferring Peptide Composition from Molecular Formulas ⋮ Modified Newton-GSOR method for solving complex nonlinear systems with symmetric Jacobian matrices ⋮ Modified Newton-PBS method for solving a class of complex symmetric nonlinear systems ⋮ Modified Newton-AGSOR method for solving nonlinear systems with block two-by-two complex symmetric Jacobian matrices ⋮ Modified Newton-PSBTS method for solving complex nonlinear systems with symmetric Jacobian matrices

Cites Work

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• An efficient incremental algorithm for solving systems of linear diophantine equations
• Applications of strong Grobner bases over Euclidean domains
• A new general algorithmic method in reaction syntheses using linear algebra

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