Application of Computer Algebra System to Geodesy
This contribution extends the previous work of (2005). Using Groebner basis and Dixon resultant as the engine behind Computer Algebra Systems (CAS). The authors demonstrate how 3D GPS positioning, 3D intersection, as well as datum transformation problems are solved ‘live’ in Mathematica, thanks to m...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Book Chapter |
| Published: |
Springer
2009
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/46683 |
| _version_ | 1848757628245639168 |
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| author | Zaletnyik, P. Palancz, B. Awange, Joseph Grafarend, E. |
| author2 | Sideris, Michael G |
| author_facet | Sideris, Michael G Zaletnyik, P. Palancz, B. Awange, Joseph Grafarend, E. |
| author_sort | Zaletnyik, P. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This contribution extends the previous work of (2005). Using Groebner basis and Dixon resultant as the engine behind Computer Algebra Systems (CAS). The authors demonstrate how 3D GPS positioning, 3D intersection, as well as datum transformation problems are solved ‘live’ in Mathematica, thanks to modernization in CAS. Mathematica notebooks containing these ‘live’ computational models and examples are available at <a href="http://library.wolfram.com/infocenter">http://library.wolfram.com/infocenter</a>/ MathSource/6654 |
| first_indexed | 2025-11-14T09:31:07Z |
| format | Book Chapter |
| id | curtin-20.500.11937-46683 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:31:07Z |
| publishDate | 2009 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-466832017-03-08T13:18:48Z Application of Computer Algebra System to Geodesy Zaletnyik, P. Palancz, B. Awange, Joseph Grafarend, E. Sideris, Michael G polynomial equations Groebner basis Dixon resultant Computer Algebra This contribution extends the previous work of (2005). Using Groebner basis and Dixon resultant as the engine behind Computer Algebra Systems (CAS). The authors demonstrate how 3D GPS positioning, 3D intersection, as well as datum transformation problems are solved ‘live’ in Mathematica, thanks to modernization in CAS. Mathematica notebooks containing these ‘live’ computational models and examples are available at <a href="http://library.wolfram.com/infocenter">http://library.wolfram.com/infocenter</a>/ MathSource/6654 2009 Book Chapter http://hdl.handle.net/20.500.11937/46683 Springer restricted |
| spellingShingle | polynomial equations Groebner basis Dixon resultant Computer Algebra Zaletnyik, P. Palancz, B. Awange, Joseph Grafarend, E. Application of Computer Algebra System to Geodesy |
| title | Application of Computer Algebra System to Geodesy |
| title_full | Application of Computer Algebra System to Geodesy |
| title_fullStr | Application of Computer Algebra System to Geodesy |
| title_full_unstemmed | Application of Computer Algebra System to Geodesy |
| title_short | Application of Computer Algebra System to Geodesy |
| title_sort | application of computer algebra system to geodesy |
| topic | polynomial equations Groebner basis Dixon resultant Computer Algebra |
| url | http://hdl.handle.net/20.500.11937/46683 |