4 ms·
Is it really necessary to invert those matrices? Often that is possible, but not the best way to find the solution of the problem: https://www.johndcook.com/blo
by effie 9y ago
Is it really necessary to invert those matrices? Often that is possible, but not the best way to find the solution of the problem:
https://www.johndcook.com/blog/2010/01/19/dont-invert-that-matrix/ https://www.johndcook.com/blog/2010/01/19/dont-invert-that-m...
- msds 9y agoPresumably, an ensemble of nuclear theorists, particularly those dedicating their lives to making big LQCD calculations, would avoid inverting large ill-conditioned matrices, if that was a clever thing to do. I know a few QFT types - they tend to be decently intelligent and mathematically capable. Ok, they're more like wickedly smart...
- evanb 9y agoIt depends on the computational step. Often we "just" need to compute the determinant, in which case we use a trick. In some other cases, we do only need linear solves. Exact inversion of the whole thing is often prohibitive.