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- W2912087217 abstract "Totally positive matrices are related with the shape preserving representations of a space of functions. The normalized B-basis of the space has optimal shape preserving properties. B-splines and rational Bernstein bases are examples of normalized B-bases. Some results on the optimal conditioning and on extremal properties of the minimal eigenvalue and singular value of the collocation matrices of normalized B-bases are proved. Numerical examples confirm the theoretical results and answer related questions." @default.
- W2912087217 created "2019-02-21" @default.
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- W2912087217 date "2019-01-28" @default.
- W2912087217 modified "2023-10-16" @default.
- W2912087217 title "Extremal and optimal properties of B-bases Collocation Matrices" @default.
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- W2912087217 doi "https://doi.org/10.48550/arxiv.1901.09768" @default.
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