From approximating to interpolatory non-stationary subdivision schemes with the same reproduction properties
نویسندگان
چکیده
In this paper we describe a general, computationally feasible strategy to deduce a family of interpolatory non-stationary subdivision schemes from a symmetric non-stationary, non-interpolatory one satisfying quite mild assumptions. It is shown that the interpolatory schemes are (mostly) capable of generating the same functional space as the approximating one. Moreover, the interplay between structured matrices and polynomials provides an effective tool for designing efficient numeric and/or numeric-symbolic methods for their construction and analysis.
منابع مشابه
From approximating to interpolatory non-stationary subdivision schemes with the same generation properties
In this paper we describe a general, computationally feasible strategy to deduce a family of interpolatory non-stationary subdivision schemes from a symmetric non-stationary, non-interpolatory one satisfying quite mild assumptions. To achieve this result we extend our previous work [C. Conti, L. Gemignani, L. Romani, Linear Algebra Appl. 431 (2009), no. 10, 1971– 1987] to full generality by rem...
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