You might be interested in seeing a continuation of that field in the form of our group's tool and interface for a few scenarios of matrix balancing, including partial balancing and multidimensional matrix balancing.

We are very interested in having our system http://OUReports.com be used for real system analysis, and we will be very glad to assist any researcher in using it. Please feel free to share our project or connect us with anyone who might be interested.

In the text at https://oureports.net/OUReports/MatrixBalancing.pdf we have samples for different scenarios of matrix balancing including multidimensional balancing scenarios (p. 8-9, 19-23).

At https://oureports.net/OUReports/MatrixBalancingSamples.pdf we have more text with samples of matrix balancing for different data, including a technique we call “partial balancing” – balancing the top-left corner matrix and the low-right corner matrix and applying balancing coefficients to other parts of the original matrix (p.49). There is also a sample of how we use the dynamics of balancing coefficients by year for the analytics of art compensations in U.S. States, as well as for different types of arts (p. 34). We also have a sample for the Gross Domestic Product (GDP) by areas of the US, along with other samples.

I made some videos (given my strong accent, these are primarily for our internal team) about different scenarios of m of matrix balancing and about the general usage of our system for different data analytics and data reporting tasks. These are posted at the following YouTube channel: https://www.youtube.com/channel/UCcsTziBCeV47Njs1qN0RuQg

The data for all samples are taken from the open source data.gov for testing our system.
Irina Yaroshevskaya, PhD