Symbolic integration with respect to the Haar measure on the unitary group in Mathematica. We present IntU package for Mathematica computer algebra system. The presented package performs a symbolic integration of polynomial functions over the unitary group with respect to unique normalized Haar measure. We describe a number of special cases which can be used to optimize the calculation speed for some classes of integrals. We also provide some examples of usage of the presented package.
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References in zbMATH (referenced in 3 articles )
Showing results 1 to 3 of 3.
- Ginory, Alejandro; Kim, Jongwon: Weingarten calculus and the IntHaar package for integrals over compact matrix groups (2021)
- Alejandro Ginory, Jongwon Kim: Weingarten Calculus and the IntHaar Package for Integrals over Compact Matrix Groups (2016) arXiv
- Sadowski, Przemysław: Efficient integration over the unitary group with applications (2011)