## Melkes

**Abstract**
- The Melkes routines may be used for polynomial interpolation
based on data given on the vertices of a box in an
arbitrary number of dimensions. The data may be function
values only, or function values and gradients, or function
values, gradients and Hessians. Routines are supplied
to evaluate only the interpolant, or the interpolant
and its gradient, or the interpolant, its gradient
and its Hessian. The interpolating polynomial for Melkes
interpolation may be described as a reduced Hermite
polynomial --- reduced by comparison with the full
tensor product form. A precise mathematical description
follows; note that this describes the extension to
an arbitrary number of dimensions of what is called
"Type-II" interpolation in Melkes's original paper.
**DateOfInformation**
- Thr Jun 18 16:54:47 2009
**Domain**
- Numerical Tools
**Keyword**
- interpolation, Hermite polynomial
**Language**
- Fortran 90
**Name**
- Melkes
**TargetEnvironment**
- AIX, IRIX62, Linux Intel, Linux Alpha, OSF1, SunOS,
Unicos10/11/2001
**VersionDate**
- 10/11/2001
**Webpage**
- http://w3.pppl.gov/NTCC/Melkes
**ContactIs**
- Bas Braams

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