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This question is about equations where the unknown itself is a matrix such as Sylvester or Riccati equations. For systems of linear equations (where the unknown is a vector), use "linear-system".

2 votes
Accepted

Least Squares with Dense-Block Diagonal Structure

If $N$ is on the order of 100,000 and $m$ is on the order of $100$, Then $J$ requires about 80 gigabytes to store in double precision and $V$ requires a trivial amount of storage. The product $M=JV$ …
Brian Borchers's user avatar
5 votes
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Maximize a function of an orthogonal matrix

There are specialized methods for the minimization of a differentiable function $f(X)$ subject to the orthogonality constraint $X^{T}X=I$. See for example: Lai, Rongjie, and Stanley Osher. “A Splitt …
Brian Borchers's user avatar