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| Content Provider | Springer Nature Link |
|---|---|
| Author | Shen, Liyong Chionh, Engwee Gao, Xiao Shan Li, Jia |
| Copyright Year | 2011 |
| Abstract | In this paper, a class of lattice supports in the lattice space Z $^{m}$ is found to be inherently improper because any rational parametrization from C $^{m}$ to C $^{n}$ defined on such a support is improper. The improper index for such a lattice support is defined to be the gcd of the normalized volumes of all the simplex sub-supports. The structure of an improper support S is analyzed and shrinking transformations are constructed to transform S to a proper one. For a generic rational parametrization RP defined on an improper support S, we prove that its improper index is the improper index of S and give a proper reparametrization algorithm for RP. Finally, properties for rational parametrizations defined on an improper support and with numerical coefficients are also considered. |
| Starting Page | 367 |
| Ending Page | 380 |
| Page Count | 14 |
| File Format | |
| ISSN | 10096124 |
| Journal | Journal of Systems Science and Complexity |
| Volume Number | 24 |
| Issue Number | 2 |
| e-ISSN | 15597067 |
| Language | English |
| Publisher | Academy of Mathematics and Systems Science, Chinese Academy of Sciences |
| Publisher Date | 2010-12-07 |
| Publisher Place | Beijing |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | BKK bound chow form improper lattice supports improper rational parametrizations reparametrization support transformation Statistics Systems Theory, Control Statistical Physics, Dynamical Systems and Complexity Mathematics of Computing Operations Research/Decision Theory |
| Content Type | Text |
| Resource Type | Article |
| Subject | Information Systems |
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