Abstract
We observe that, under very mild conditions, an -dimensional space of functions (with a finite ) admits numerically stable -point interpolation and integration formulae. The proof relies entirely on linear algebra, and is virtually independent of the domain and of the functions to be interpolated.
Citation
Per-Gunnar Martinsson. Vladimir Rokhlin. Mark Tygert. "On interpolation and integration in finite-dimensional spaces of bounded functions." Commun. Appl. Math. Comput. Sci. 1 (1) 133 - 142, 2006. https://doi.org/10.2140/camcos.2006.1.133
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