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Title: Bounds on the Pythagoras number of the sum of square magnitudes of complex polynomials
Authors: Le, Thanh Hieu
Van Barel, Marc
Issue Date: Nov-2012
Publisher: Department of Computer Science, KU Leuven
Series Title: TW Reports vol:TW620
Abstract: This paper presents lower and upper bounds on the Pythagoras number of sum of square magnitudes of complex polynomials using well-known results on a system of quadratic polynomial equations. Applying this method, a new proof for the upper bound of the Pythagoras number of real polynomials is also presented.
URI: 
Publication status: published
KU Leuven publication type: IR
Appears in Collections:Numerical Analysis and Applied Mathematics Section

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