Future improvements to QDR decomposition -> Get SVD branch of stabilization working with Jacobi method
While reading some papers I came across some developments/explanations for the singular value decompositions. And in case we ever find ourselves in a position that we need to improve some parts, here are some ideas: The most natura for us I think is this, interpreting the QR decomposition as preconditioner: https://doi.org/10.1145/3061709 The paper explaining which SVD Method is superior for resolving small eigenvalues: https://epubs.siam.org/doi/10.1137/0613074 And a paper reviewing SVDs: https://www.research.manchester.ac.uk/portal/files/82231456/17m1117732.pdf
Note that there already is zgejsv in lapack which implements a Jacobi SVD with pivoting and preconditioning.