The Theorem of Minkowski for Polyhedral Monoids and Aggregated Linear Diophantine Systems

Lecture Notes in Economics and Mathematical Systems - Optimization and Operations Research ◽

10.1007/978-3-642-95322-4_1 ◽

1978 ◽

pp. 1-13 ◽

Author(s):

Achim Bachem

Keyword(s):

Linear Diophantine Systems

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Solving rank one perturbed linear Diophantine systems by the ABS method

Optimization Methods and Software ◽

10.1080/10556780500247766 ◽

2006 ◽

Vol 21 (5) ◽

pp. 819-831 ◽

Author(s):

Keyvan Amini ◽

Nezam Mahdavi-Amiri

Keyword(s):

Rank One ◽

Linear Diophantine Systems

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Integrating constraint propagation in complete solving of linear diophantine systems

Principles of Declarative Programming - Lecture Notes in Computer Science ◽

10.1007/bfb0056633 ◽

1998 ◽

pp. 463-480

Author(s):

Farid Ajili ◽

Hendrik C. R. Lock

Keyword(s):

Constraint Propagation ◽

Linear Diophantine Systems

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Integer extended ABS algorithms and possible control of intermediate results for linear Diophantine systems

4OR ◽

10.1007/s10288-008-0082-8 ◽

2008 ◽

Vol 7 (2) ◽

pp. 145-167 ◽

Author(s):

Mostafa Khorramizadeh ◽

Nezam Mahdavi-Amiri

Keyword(s):

Abs Algorithms ◽

Linear Diophantine Systems ◽

Intermediate Results

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Polyhedral Omega: a New Algorithm for Solving Linear Diophantine Systems

Annals of Combinatorics ◽

10.1007/s00026-017-0349-x ◽

2017 ◽

Vol 21 (2) ◽

pp. 211-280 ◽

Author(s):

Felix Breuer ◽

Zafeirakis Zafeirakopoulos

Keyword(s):

Linear Diophantine Systems

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Preserving sparity for general solution of linear Diophantine systems

International Journal of Contemporary Mathematical Sciences ◽

10.12988/ijcms.2014.26134 ◽

2014 ◽

Vol 9 ◽

pp. 19-23

Author(s):

Mostafa Khorramizadeh

Keyword(s):

General Solution ◽

Linear Diophantine Systems

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A note on solving linear Diophantine systems by usingL3-reduction algorithm

International Journal of Computer Mathematics ◽

10.1080/00207160701716501 ◽

2009 ◽

Vol 86 (5) ◽

pp. 883-896

Author(s):

Mostafa Khorramizadeh

Keyword(s):

Reduction Algorithm ◽

Linear Diophantine Systems

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Minimal solutions of linear diophantine systems : bounds and algorithms

Rewriting Techniques and Applications - Lecture Notes in Computer Science ◽

10.1007/3-540-53904-2_94 ◽

1991 ◽

pp. 162-173 ◽

Author(s):

Loïc Pottier

Keyword(s):

Linear Diophantine Systems

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Solving Linear Diophantine Systems on Parallel Architectures

IEEE Transactions on Parallel and Distributed Systems ◽

10.1109/tpds.2018.2873354 ◽

2019 ◽

Vol 30 (5) ◽

pp. 1158-1169 ◽

Author(s):

Dmitry Zaitsev ◽

Stanimire Tomov ◽

Jack Dongarra

Keyword(s):

Parallel Architectures ◽

Linear Diophantine Systems

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An efficient algorithm for solving rank one perturbed linear Diophantine systems using Rosser’s approach

4OR ◽

10.1007/s10288-010-0152-6 ◽

2011 ◽

Vol 9 (2) ◽

pp. 159-173 ◽

Author(s):

Mostafa Khorramizadeh ◽

Nezam Mahdavi-Amiri

Keyword(s):

Efficient Algorithm ◽

Rank One ◽

Linear Diophantine Systems

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Rank Reduction Processes for Solving Linear Diophantine Systems and Integer Factorizations: A Review

Bulletin of the Iranian Mathematical Society ◽

10.1007/s41980-019-00282-8 ◽

2019 ◽

Vol 46 (3) ◽

pp. 647-667

Author(s):

Effat Golpar-Raboky ◽

Nezam Mahdavi-Amiri

Keyword(s):

Rank Reduction ◽

Reduction Processes ◽

Linear Diophantine Systems

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