2 papers
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…
math.AG2020
Approximate Completely Positive Semidefinite Factorizations and their Ranks
Paria Abbasi, Andreas Klingler, Tim Netzer
In this paper we show the existence of approximate completely positive semidefinite (cpsd) factorizations with a cpsd-rank bounded above (almost) independently from the cpsd-rank o…