author = {Manuel Kauers},
title = {{Fast Solvers for Dense Linear Systems}},
language = {english},
abstract = {It appears that large scale calculations in particle physics often require to solve systems of linear equations with rational number coefficients exactly. If classical Gaussian elimination is applied to a \emph{dense} system, the time needed to solve such a system grows exponentially in the size of the system. In this tutorial paper, we present a standard technique from computer algebra that avoids this exponential growth: homomorphic images. Using this technique, big dense linear systems can be solved in a much more reasonable time than using Gaussian elimination over the rationals.},
journal = {Nuclear Physics B (Proc. Suppl.)},
volume = {183},
pages = {245--250},
isbn_issn = {ISSN 0550-3213},
year = {2008},
refereed = {yes},
length = {6}