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Sum of Squares

• To: mathgroup at smc.vnet.net
• Subject: [mg26587] Sum of Squares
• From: Will Self <wself at msubillings.edu>
• Date: Tue, 9 Jan 2001 01:52:01 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

Is there, or could there be, a "sum of squares" function for
multivariate polynomials, which would rewrite an expression as a sum of
squares, when possible?

It might work like this:

SumOfSquares[5 x^2 + 8 x y + 5 y^2 + 2 x z - 2 y z + 2 z^2]

--->

(x + 2y - z)^2 + (2x + y + z)^2

Will Self
email appreciated


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• Follow-Ups:
  • Re: Sum of Squares
    • From: Daniel Lichtblau <danl@wolfram.com>