3 papers
math.NA2026
Bounds on the determinant of an exponential matrix
Michael S. Floater
We derive upper and lower bounds on the determinant of an exponential matrix. They can be transformed into corresponding bounds for the determinant of a univariate Gaussian matrix.
math.NA2026
A divided difference identity for a class of multiple integrals
Michael S. Floater
We derive an identity that relates a class of multiple integrals involving Vandermonde polynomials to divided differences. Alternatively the identity can be viewed as an integral f…
math.NA2025
On the injectivity of mean value mappings between quadrilaterals
Michael S. Floater, Georg Muntingh
Mean value coordinates can be used to map one polygon into another, with application to computer graphics and curve and surface modelling. In this paper we show that if the polygon…