10.26165/JUELICH-DATA/BKJOESDi Napoli, EdoardoEdoardoDi Napoli0000-0001-5821-5897Forschungszentrum JülichWu, XinzheXinzheWu0000-0001-5716-3116Forschungszentrum JülichJülich DATA2026ChemistryComputer and Information ScienceMathematical SciencesPhysicsAlgebraic eigenvalue problemHermitian matrixPsedo-Hermitian matrixDi Napoli, EdoardoEdoardoDi NapoliForschungszentrum JülichWu, XinzheForschungszentrum JülichDi Napoli, EdoardoEdoardoDi NapoliForschungszentrum JülichWu, XinzheForschungszentrum JülichRichefort, ClementClementRichefortForschungszentrum JülichSchleife, AndreAndreSchleifeUniversity of Illinois Urbana-ChampaignFerretti, AndreaAndreaFerrettiConsiglio Nazionale delle RicercheDi Napoli, EdoardoEdoardoDi NapoliWu, XinzheRichefort, ClementClementRichefortWu, XinzheForschungszentrum Jülich2026-02-042026-02-042026-03-06Other35433text/plain1.0CC0 WaiverIncremental dataset that includes algebraic matrices generated by a number of applications from Materials Science. The matrices are stored in a publicly accessible server. They can be easily accessed through a web interface 'MatrixHub' hosted on Github. The matrices can also be accessed directly by visiting the public server instead of accessing them through the MatrixHub interface. The purpose of this database of matrices is to provide medium to very large matrices to be utilized to benchmark numerical linear algebra routines. All matrices in the set have been generated with well-known and openly available simulation codes (see Software field). The matrix set includes Hermitian and pseudo-Hermitian square matrices of large sizes (from few thousands to hundreds of thousands). All the matrices represent Hamiltonians of quantum mechanical systems generated by either Density Functional Theory (DFT) methods or Bethe-Salpeter equation (BSE) methods. The matrices generated from BSE can be either Hermitian or pseudo-Hermitian. All matrices from DFT are Hermitian.GCS/NICslaiEuroHPC JUHANAMI