Some Applications of Generalized Char-Sets of Ordinary Differential Polynomial Sets
The notion of characteristic sets, which are a special kind of triangular sets, is introduced by J. F Ritt and W.T. Wu. Wu extended Ritt’s work and developed the characteristic set method not only in theory but in algorithms, efficiency and its numerous applications. Triangular sets are widely consi...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2016-01-01
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| Series: | MATEC Web of Conferences |
| Online Access: | http://dx.doi.org/10.1051/matecconf/20167702007 |
| _version_ | 1818855192990318592 |
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| author | Afzal Farkhanda |
| author_facet | Afzal Farkhanda |
| author_sort | Afzal Farkhanda |
| collection | DOAJ |
| description | The notion of characteristic sets, which are a special kind of triangular sets, is introduced by J. F Ritt and W.T. Wu. Wu extended Ritt’s work and developed the characteristic set method not only in theory but in algorithms, efficiency and its numerous applications. Triangular sets are widely considered as a good representation for the solution of polynomial systems. After the introduction of characteristic sets by Ritt, triangular sets have become an alternative tool for representing the ideal besides the Gröbner bases. This paper is about implementation and applications of generalized characteristic sets of ordinary differential polynomial sets defined by author. |
| first_indexed | 2024-12-19T08:04:42Z |
| format | Article |
| id | doaj.art-3ec657b8b2574a139566c2a77ba0cb94 |
| institution | Directory Open Access Journal |
| issn | 2261-236X |
| language | English |
| last_indexed | 2024-12-19T08:04:42Z |
| publishDate | 2016-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | MATEC Web of Conferences |
| spelling | doaj.art-3ec657b8b2574a139566c2a77ba0cb942022-12-21T20:29:46ZengEDP SciencesMATEC Web of Conferences2261-236X2016-01-01770200710.1051/matecconf/20167702007matecconf_icmmr2016_02007Some Applications of Generalized Char-Sets of Ordinary Differential Polynomial SetsAfzal FarkhandaThe notion of characteristic sets, which are a special kind of triangular sets, is introduced by J. F Ritt and W.T. Wu. Wu extended Ritt’s work and developed the characteristic set method not only in theory but in algorithms, efficiency and its numerous applications. Triangular sets are widely considered as a good representation for the solution of polynomial systems. After the introduction of characteristic sets by Ritt, triangular sets have become an alternative tool for representing the ideal besides the Gröbner bases. This paper is about implementation and applications of generalized characteristic sets of ordinary differential polynomial sets defined by author.http://dx.doi.org/10.1051/matecconf/20167702007 |
| spellingShingle | Afzal Farkhanda Some Applications of Generalized Char-Sets of Ordinary Differential Polynomial Sets MATEC Web of Conferences |
| title | Some Applications of Generalized Char-Sets of Ordinary Differential Polynomial Sets |
| title_full | Some Applications of Generalized Char-Sets of Ordinary Differential Polynomial Sets |
| title_fullStr | Some Applications of Generalized Char-Sets of Ordinary Differential Polynomial Sets |
| title_full_unstemmed | Some Applications of Generalized Char-Sets of Ordinary Differential Polynomial Sets |
| title_short | Some Applications of Generalized Char-Sets of Ordinary Differential Polynomial Sets |
| title_sort | some applications of generalized char sets of ordinary differential polynomial sets |
| url | http://dx.doi.org/10.1051/matecconf/20167702007 |
| work_keys_str_mv | AT afzalfarkhanda someapplicationsofgeneralizedcharsetsofordinarydifferentialpolynomialsets |