A generalization of the variation diminishing property |
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| Authors: | J M Carnicer T N T Goodman and J M Pe?a |
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| Institution: | (1) Departmento de Matemática Aplicada, Universidad de Zaragoza, E-50009 Zaragoza, Spain;(2) Department of Mathematics and Computer Science, The University, DD1 4HN Dundee, Scotland, UK |
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| Abstract: | For totally positive matrices, a new variation diminishing property on the sign of consecutive minors is obtained. this property
is used to show shape preserving properties of curves generated by totally positive bases and, in particular, of B-spline
curves.
Partially supported by DGICYT PS93-0310. |
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