Rebuilding polygon from CoefficientList?

*To*: mathgroup at smc.vnet.net*Subject*: [mg20164] Rebuilding polygon from CoefficientList?*From*: "Holger Strauss" <strauss at ika.ruhr-uni-bochum.de>*Date*: Sun, 3 Oct 1999 21:07:34 -0400*Organization*: Ruhr-Universitaet Bochum, Rechenzentrum*Sender*: owner-wri-mathgroup at wolfram.com

Hallo, I have a mixed polynomial poly in several variables vars. cl = CoefficientList[poly, vars] gives a multi-dimensional matrix of coefficients. Can anyone help with an algorithm/expression that re-constructs the original poly given cl and vars? (In practice, I'd like to manipulate the coefficients before reconstructing the polynomial; otherwise this wouldn't make sense). The algorithm must be able to handle any number of vars. I've found a solutions for a small and fixed number of vars using some ugly nested For loops. However, I suppose that there must be a more efficient solution using some cute matrix operations. Many thanks, Holger Holger Strauss Institute of Communication Acoustics Ruhr-University Bochum

**Follow-Ups**:**Re: Rebuilding polygon from CoefficientList?***From:*Daniel Lichtblau <danl@wolfram.com>