This repository contains the code to reproduce all the numerical experiments from the preprint ``Divide and conquer methods for functions of matrices with banded or hierarchical low-rank structure'' by Alice Cortinovis, Daniel Kressner, and Stefano Massei.

-- Correspondence between scripts and figures/tables in the paper --

• doubleSpeedPoly.m -> Fig. 1 & Fig. 5
• testFractional.m -> Table 1
• testSampling.m -> Table 2
• testToeplitz.m -> Table 3
• testNtD.m -> Table 4
• testDensity.m -> Figure 2
• testComputeDiag.m -> Table 5
• test_lag_parameter.m -> Table 6
• testFermiDirac.m -> Table 7
• testAdaptivity.m -> Fig. 6 & Fig. 7
• testTimeSplitting.m -> Figure 8

-- Dependencies -- The following toolboxes are needed to run (some of) the scripts:

• hm-toolbox https://github.com/numpi/hm-toolbox
• metismex and METIS https://github.com/dgleich/metismex
• rktoolbox http://guettel.com/rktoolbox/
• chebfun https://www.chebfun.org/

If you use this repository, please cite it as: