A new computable sufficient condition for the convergence of subdivision schemes with nonnegative masks
| العنوان: | A new computable sufficient condition for the convergence of subdivision schemes with nonnegative masks |
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| المؤلفون: | Xinlong Zhou, Li Cheng |
| المصدر: | Advances in Computational Mathematics. 45:1273-1290 |
| بيانات النشر: | Springer Science and Business Media LLC, 2019. |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Discrete mathematics, business.industry, Applied Mathematics, MathematicsofComputing_NUMERICALANALYSIS, 010103 numerical & computational mathematics, 01 natural sciences, Convexity, 010101 applied mathematics, Set (abstract data type), Computational Mathematics, Scheme (mathematics), Mathematik, Convergence (routing), Key (cryptography), Computational Science and Engineering, Uniqueness, 0101 mathematics, business, Mathematics, Subdivision |
| الوصف: | We are interested in nontrivial conditions on the nonnegative masks that guarantee the convergence of the correspondent subdivision schemes. Roughly speaking, a certain convexity of the support of the given mask implies the convergence of the subdivision scheme. Moreover, those conditions are computable. The key of proving our main theorem is to find out an irreducible or primitive mapping on some multi-integer set and to show the uniqueness of this mapping. |
| تدمد: | 1572-9044 1019-7168 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b13ba7fce3ceba85ac3b145f6bb12389Test https://doi.org/10.1007/s10444-018-09656-8Test |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....b13ba7fce3ceba85ac3b145f6bb12389 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 15729044 10197168 |
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