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Total positivity of the discrete spline collocation matrix

✍ Scribed by Rong-Qing Jia

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
470 KB
Volume
39
Category
Article
ISSN
0021-9045

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πŸ“œ SIMILAR VOLUMES

On Total Positivity of the Discrete Spli
On Total Positivity of the Discrete Spline Collocation Matrix
✍ Knut M. MΓΈrken πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 639 KB

R. Q. Jia (J. Approx. Theory 39 (1983), 11 23), proved that the discrete spline collocation matrix was totally positive, and he also gave necessary and sufficient conditions for when a minor has a positive determinant. By a counterexample, it is shown in this paper that his necessary and sufficient

Another Proof of the Total Positivity of
Another Proof of the Total Positivity of the Discrete Spline Collocation Matrix
✍ Avraham A. Melkman πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 245 KB

We provide a different proof for Morken's result on necessary and sufficient conditions for a minor of the discrete B-spline collocation matrix to be positive and supply intuition for those conditions. 1996 Academic Press, Inc. Denote, further,