A Top-down Approach for Solving Linear Diophantine Equation
A simple approach for solving the linear Diophantine equation via the Euclidean Algorithm (EA) is presented. Unlike the common approach for applying the Extended Euclidean Algorithm (EEA), we present a top-down approach for finding the unknowns by the sequence of quotients obtained by successive div...
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| Veröffentlicht in: | Lecture notes in engineering and computer science Jg. 2240; S. 11 |
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| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Hong Kong
International Association of Engineers
03.07.2019
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| ISSN: | 2078-0958, 2078-0966 |
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| Abstract | A simple approach for solving the linear Diophantine equation via the Euclidean Algorithm (EA) is presented. Unlike the common approach for applying the Extended Euclidean Algorithm (EEA), we present a top-down approach for finding the unknowns by the sequence of quotients obtained by successive divisions. Some illustrative examples are provided. |
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| AbstractList | A simple approach for solving the linear Diophantine equation via the Euclidean Algorithm (EA) is presented. Unlike the common approach for applying the Extended Euclidean Algorithm (EEA), we present a top-down approach for finding the unknowns by the sequence of quotients obtained by successive divisions. Some illustrative examples are provided. |
| Author | Man, Yiu-Kwong |
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| Snippet | A simple approach for solving the linear Diophantine equation via the Euclidean Algorithm (EA) is presented. Unlike the common approach for applying the... |
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| SubjectTerms | Algorithms Diophantine equation Quotients |
| Title | A Top-down Approach for Solving Linear Diophantine Equation |
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