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A generalization of the variation diminishing property

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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.

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Communicated by L. L. Schumaker

Partially supported by DGICYT PS93-0310.

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Carnicer, J.M., Goodman, T.N.T. & Peña, J.M. A generalization of the variation diminishing property. Adv Comput Math 3, 375–394 (1995). https://doi.org/10.1007/BF02432004

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  • DOI: https://doi.org/10.1007/BF02432004

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