There is a fairly recent (2021) paper about a method for solving "complex systems of linear equations" and they show that it fares well in comparison to a matlab routine `mldivide`. I'm not sure it there is anything in the method that might benefit any of the routines that we use. Perhaps this is something more suited for mpmath than sympy.
Abstract from https://www.mdpi.com/2227-7390/9/19/2527 Efficient solution of linear systems of equations is one of the central topics of numerical computation. Linear systems with complex coefficients arise from various physics and quantum chemistry problems. In this paper, we propose a novel ABS-based algorithm, which is able to solve complex systems of linear equations. Theoretical analysis is given to highlight the basic features of our new algorithm. Four variants of our algorithm were also implemented and intensively tested on randomly generated full and sparse matrices and real-life problems. The results of numerical experiments reveal that our ABS-based algorithm is able to compute the solution with high accuracy. The performance of our algorithm was compared with a commercially available software, Matlab’s mldivide (\) algorithm. Our algorithm outperformed the Matlab algorithm in most cases in terms of computational accuracy. These results expand the practical usefulness of our algorithm. /c -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/a7e57f40-cfc1-4cf2-9079-f0cf625ca2d7n%40googlegroups.com.
