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math-ph2021★ 2 cited
Polynomial decompositions with invariance and positivity inspired by tensors
Gemma De las Cuevas, Andreas Klingler, Tim Netzer
We present a framework to decompose real multivariate polynomials while preserving invariance and positivity. This framework has been recently introduced for tensor decompositions,…
math.NT2021
Approximate Pythagoras Numbers on -algebras over
Paria Abbasi, Sander Gribling, Andreas Klingler +1
The Pythagoras number of a sum of squares is the shortest length among its sums of squares representations. In many algebras, for example real polynomial algebras in two or more va…