@article{Haelterman_Degroote_Vierendeels_Van heule_2008, title={Extending Broyden’s method to interaction problems}, volume={37}, url={https://ictp.acad.ro/jnaat/journal/article/view/2008-vol37-no2-art9}, DOI={10.33993/jnaat372-889}, abstractNote={<pre>The solution of problems involving the interaction of different</pre><pre> systems is a domain of ongoing research, although often a good</pre><pre> solver already exists for each system separately. In this paper we</pre><pre> draw our ideas from one of the best known all-round quasi-Newton</pre><pre> methods: Broyden’s rank-one update, which we extend to algorithms</pre><pre> using 2 approximate Jacobians. A comparison is made with the</pre><pre> iterative substructuring method and Aitken’s acceleration method. It</pre><pre> is shown that a Broyden method using only a single approximate</pre><pre> Jacobian performs best.</pre>}, number={2}, journal={Rev. Anal. Numér. Théor. Approx.}, author={Haelterman, Robby and Degroote, Joris and Vierendeels, Jan and Van heule, Dirk}, year={2008}, month={Aug.}, pages={169–180} }