Ok, I can almost see a connection now. My coworker sent me this stack exchange post:
https://mathematica.stackexchange.com/questions/91651/nearest-kronecker-product This led me to this Springer article: https://link.springer.com/chapter/10.1007%2F978-94-015-8196-7_17 and this ScienceDirect article: https://www.sciencedirect.com/science/article/pii/S0377042700003939?via%3Dihub I will likely need to dive in a bit more and maybe test the MatLab code against my handworked examples. Thanks again for the pointer. Also, totally orthogonal to this topic, this paper also came up at work: https://pubs.acs.org/doi/full/10.1021/acs.jctc.1c00562
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