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Representations and transformations for multi-dimensional systems
Multi-dimensional (n-D) systems can be described by matrices whose elements are polynomial in more than one indeterminate. These systems arise in the study of partial differential equations and delay differential equations for example, and have attracted great interest over recent years. Many of the...
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| Format: | Default Thesis |
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1999
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| Online Access: | https://hdl.handle.net/2134/28237 |
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| _version_ | 1818170655599755264 |
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| author | Simon J. McInerney |
| author_facet | Simon J. McInerney |
| author_sort | Simon J. McInerney (7158512) |
| collection | Figshare |
| description | Multi-dimensional (n-D) systems can be described by matrices whose elements are polynomial in more than one indeterminate. These systems arise in the study of partial differential equations and delay differential equations for example, and have attracted great interest over recent years. Many of the available results have been developed by generalising the corresponding results from the well known 1-D theory. However, this is not always the best approach since there are many differences between 1-D, 2-D and n-D (n>2) polynomial matrices. This is due mainly to the underlying polynomial ring structure. [Continues.] |
| format | Default Thesis |
| id | rr-article-9374213 |
| institution | Loughborough University |
| publishDate | 1999 |
| record_format | Figshare |
| spelling | rr-article-93742131999-01-01T00:00:00Z Representations and transformations for multi-dimensional systems Simon J. McInerney (7158512) Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified Multi-dimensional (n-D) systems can be described by matrices whose elements are polynomial in more than one indeterminate. These systems arise in the study of partial differential equations and delay differential equations for example, and have attracted great interest over recent years. Many of the available results have been developed by generalising the corresponding results from the well known 1-D theory. However, this is not always the best approach since there are many differences between 1-D, 2-D and n-D (n>2) polynomial matrices. This is due mainly to the underlying polynomial ring structure. [Continues.] 1999-01-01T00:00:00Z Text Thesis 2134/28237 https://figshare.com/articles/thesis/Representations_and_transformations_for_multi-dimensional_systems/9374213 CC BY-NC-ND 2.5 |
| spellingShingle | Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified Simon J. McInerney Representations and transformations for multi-dimensional systems |
| title | Representations and transformations for multi-dimensional systems |
| title_full | Representations and transformations for multi-dimensional systems |
| title_fullStr | Representations and transformations for multi-dimensional systems |
| title_full_unstemmed | Representations and transformations for multi-dimensional systems |
| title_short | Representations and transformations for multi-dimensional systems |
| title_sort | representations and transformations for multi-dimensional systems |
| topic | Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified |
| url | https://hdl.handle.net/2134/28237 |