<?xml version='1.0' encoding='UTF-8'?><codeBook xmlns="ddi:codebook:2_5" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="ddi:codebook:2_5 https://ddialliance.org/Specification/DDI-Codebook/2.5/XMLSchema/codebook.xsd" version="2.5"><docDscr><citation><titlStmt><titl>Matrix Hub</titl><IDNo agency="DOI">doi:10.26165/JUELICH-DATA/BKJOES</IDNo></titlStmt><distStmt><distrbtr source="archive">Jülich DATA</distrbtr><distDate>2026-03-06</distDate></distStmt><verStmt source="DVN"><version date="2026-03-06" type="RELEASED">1</version></verStmt><biblCit>Di Napoli, Edoardo; Wu, Xinzhe, 2026, "Matrix Hub", https://doi.org/10.26165/JUELICH-DATA/BKJOES, Jülich DATA, V1</biblCit></citation></docDscr><stdyDscr><citation><titlStmt><titl>Matrix Hub</titl><subTitl>Matrix collections extracted from Materials Science simulation codes</subTitl><IDNo agency="DOI">doi:10.26165/JUELICH-DATA/BKJOES</IDNo></titlStmt><rspStmt><AuthEnty affiliation="Forschungszentrum Jülich">Di Napoli, Edoardo</AuthEnty><AuthEnty affiliation="Forschungszentrum Jülich">Wu, Xinzhe</AuthEnty><othId role="Project Leader">Di Napoli, Edoardo</othId><othId role="Data Manager">Wu, Xinzhe</othId><othId role="Data Collector">Richefort, Clement</othId></rspStmt><prodStmt><producer affiliation="Forschungszentrum Jülich" abbr="FZJ" URI="https://www.fz-juelich.de/profile/napoli_e.di">Di Napoli, Edoardo</producer><producer affiliation="Forschungszentrum Jülich" abbr="FZJ" URI="https://www.fz-juelich.de/profile/wu_xin">Wu, Xinzhe</producer><producer affiliation="Forschungszentrum Jülich" abbr="FZJ" URI="https://www.fz-juelich.de/profile/richefort_c">Richefort, Clement</producer><producer affiliation="University of Illinois Urbana-Champaign" abbr="UIUC">Schleife, Andre</producer><producer affiliation="Consiglio Nazionale delle Ricerche" abbr="CNR">Ferretti, Andrea</producer><software>FLEUR</software><software>UIUC BSE code</software><software>FHI-aims</software><software>Yambo</software><grantNo agency="GCS/NIC">slai</grantNo><grantNo agency="EuroHPC JU">HANAMI</grantNo></prodStmt><distStmt><distrbtr source="archive">Jülich DATA</distrbtr><distrbtr affiliation="Forschungszentrum Jülich" abbr="FZJ">Wu, Xinzhe</distrbtr><contact affiliation="Forschungszentrum Jülich" email="e.di.napoli@fz-juelich.de">Di Napoli, Edoardo</contact><contact affiliation="Forschungszentrum Jülich" email="xin.wu@fz-juelich.de">Wu, Xinzhe</contact><distDate>2026-02-04</distDate><depositr>Di Napoli, Edoardo</depositr><depDate>2026-02-04</depDate></distStmt></citation><stdyInfo><subject><keyword>Chemistry</keyword><keyword>Computer and Information Science</keyword><keyword>Mathematical Sciences</keyword><keyword>Physics</keyword><keyword vocabURI="https://en.wiktionary.org">Algebraic eigenvalue problem</keyword><keyword vocabURI="https://en.wiktionary.org">Hermitian matrix</keyword><keyword vocabURI="https://en.wiktionary.org">Psedo-Hermitian matrix</keyword></subject><abstract date="2026-02-04">Incremental 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.&#xd;
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.</abstract><sumDscr><dataKind>Other</dataKind></sumDscr></stdyInfo><method><dataColl><sources/></dataColl><anlyInfo/></method><dataAccs><notes type="DVN:TOU" level="dv">CC0 Waiver</notes><setAvail/><useStmt/></dataAccs><othrStdyMat/></stdyDscr><otherMat ID="f47465" URI="https://data.fz-juelich.de/api/access/datafile/47465" level="datafile"><labl>SHA256SUMS.txt</labl><txt>Checksums for each single matrix in the database</txt><notes level="file" type="DATAVERSE:CONTENTTYPE" subject="Content/MIME Type">text/plain</notes></otherMat></codeBook>