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Totally positive refinable functions with general dilation M

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0 Published in 2017 at "Applied Numerical Mathematics"

DOI: 10.1016/j.apnum.2016.10.004

Abstract: Abstract We construct a new class of approximating functions that are M-refinable and provide shape preserving approximations. The refinable functions in the class are smooth, compactly supported, centrally symmetric and totally positive. Moreover, their refinable… read more here.

Keywords: functions general; refinable functions; totally positive; general dilation ... See more keywords

The absolute trace of totally positive reciprocal algebraic integers

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0 Published in 2017 at "Journal of Number Theory"

DOI: 10.1016/j.jnt.2016.06.016

Abstract: In this paper, we compute the lower bound of the absolute trace of totally positive reciprocal algebraic integers with the use of an explicit auxiliary function and prove that all but finitely many totally positive… read more here.

Keywords: absolute trace; reciprocal algebraic; totally positive; algebraic integers ... See more keywords

Accurate bidiagonal decomposition of totally positive Cauchy–Vandermonde matrices and applications

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0 Published in 2017 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2016.12.003

Abstract: Abstract Cauchy–Vandermonde matrices play a fundamental role in rational interpolation theory and in other fields. When all their corresponding nodes are different and positive and all poles are different and negative and follow adequate orderings,… read more here.

Keywords: applications accurate; vandermonde matrices; cauchy vandermonde; totally positive ... See more keywords