[Date Index]
[Thread Index]
[Author Index]
On special polynomials decomposition
*To*: mathgroup at smc.vnet.net
*Subject*: [mg126612] On special polynomials decomposition
*From*: Konstantin Nosov <nodus0 at gmail.com>
*Date*: Thu, 24 May 2012 03:33:24 -0400 (EDT)
*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com
Dear friends
I'm seeking for standard Mathematica means for solving the following problem. Say, there is a polynomial in multiple variables. I try to present this polynomial in the form of polynomial in new variables, which are in turn polynomials in initial variables.
For example, the polynomial
a^2+2*a*b+a^2*b+b^2+a*c+a*b*c+c^2
can be presented as
(a*b+c)*(a+c)+(a+b)^2,
i.e. as a polynomial in the new variables {v1=a*b+c, v2=a+c, v3=a+b}.
Solution is complete, if for a given polynomial and new polynomials-variables at least one such presentation could be obtained or impossibility of the presentation is confirmed.
I'll be appreciate for any suggestion.
Prev by Date:
**Comparing terms of expression with Implied sum over indices**
Next by Date:
**Re: Question about ColorFunction**
Previous by thread:
**Re: Comparing terms of expression with Implied sum over indices**
Next by thread:
**Re: On special polynomials decomposition**
| |