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Matrix: Sparse and Dense Matrix Classes and Methods

A rich hierarchy of sparse and dense matrix classes,including general, symmetric, triangular, and diagonal matriceswith numeric, logical, or pattern entries. Efficient methods foroperating on such matrices, often wrapping the 'BLAS', 'LAPACK',and 'SuiteSparse' libraries.

Version:1.7-4
Priority:recommended
Depends:R (≥ 4.4), methods
Imports:grDevices, graphics, grid,lattice, stats, utils
Suggests:MASS, datasets,sfsmisc, tools
Enhances:SparseM,graph
Published:2025-08-28
DOI:10.32614/CRAN.package.Matrix
Author:Douglas BatesORCID iD [aut], Martin MaechlerORCID iD [aut, cre], Mikael JaganORCID iD [aut], Timothy A. DavisORCID iD [ctb] (SuiteSparse libraries, collaborators listed in dir(system.file("doc", "SuiteSparse", package="Matrix"), pattern="License", full.names=TRUE, recursive=TRUE)), George KarypisORCID iD [ctb] (METIS library, Copyright: Regents of the University of Minnesota), Jason RiedyORCID iD [ctb] (GNU Octave's condest() and onenormest(), Copyright: Regents of the University of California), Jens Oehlschlägel [ctb] (initial nearPD()), R Core TeamROR ID [ctb] (base R's matrix implementation)
Maintainer:Martin Maechler <mmaechler+Matrix at gmail.com>
Contact:Matrix-authors@R-project.org
BugReports:https://R-forge.R-project.org/tracker/?atid=294&group_id=61
License:GPL-2 |GPL-3 | fileLICENCE [expanded from: GPL (≥ 2) | file LICENCE]
URL:https://Matrix.R-forge.R-project.org
NeedsCompilation:yes
Materials:NEWS
In views:Econometrics,NetworkAnalysis,NumericalMathematics
CRAN checks:Matrix results

Documentation:

Reference manual:Matrix.html ,Matrix.pdf
Vignettes:Comparisons of Least Squares calculation speeds (source,R code)
Design Issues in Matrix package Development (source,R code)
2nd Introduction to the Matrix Package (source,R code)
Introduction to the Matrix Package (source,R code)
Sparse Model Matrices (source,R code)

Downloads:

Package source: Matrix_1.7-4.tar.gz
Windows binaries: r-devel:Matrix_1.7-4.zip, r-release:Matrix_1.7-4.zip, r-oldrel:Matrix_1.7-4.zip
macOS binaries: r-release (arm64):Matrix_1.7-4.tgz, r-oldrel (arm64):Matrix_1.7-4.tgz, r-release (x86_64):Matrix_1.7-4.tgz, r-oldrel (x86_64):Matrix_1.7-4.tgz
Old sources: Matrix archive

Reverse dependencies:

Reverse depends:absorber,adapt4pv,adaptMCMC,addhaz,ADDT,ahaz,arm,arules,arulesCBA,aster2,BayesFactor,bc3net,bgsmtr,biglasso,BinNonNor,BinNor,bioassayR,birankr,BiRewire,bolasso,Boptbd,Brobdingnag,BTLLasso,bvartools,cAIC4,Category,celda,centiserve,cjoint,clinical,clipper,CodataGS,conos,CopulaInference,covEB,cplm,CRTgeeDR,cthreshER,ctmcmove,curephEM,CVST,dcGSA,dclone,dcsvm,DelayedArray,dglars,dhglm,distrom,dmGsea,dmm,DNABarcodes,DoubleCone,DRR,DTRlearn2,DWDLargeR,eds,EMCluster,EMMREML,enhancer,evalITR,EventPointer,evola,excursions,expm,FAS,fastadi,fastPLS,fastRG,fdaPDE,flare,FoCo2,FoReco,frailtyHL,freebird,FSTpackage,gamlr,gamlss.lasso,gamm4,gbmt,gdim,gdistance,geeM,genlasso,GenoScan,geomorph,geostatsp,GhostKnockoff,GIGSEA,GlarmaVarSel,glmm,glmmrBase,glmmrOptim,glmnet,glober,GPvam,graphpcor,gremlin,growthrate,grpCox,GSD,HelpersMG,hglm,hglm.data,hibayes,hierSDR,HMTL,hsem,ibmdbR,inca,INLAspacetime,INLAtools,invertiforms,irlba,ISLET,isotonic.pen,jordan,kinship2,KnockoffScreen,lcpm,leidenAlg,lfe,lingmatch,LKT,lme4,lme4breeding,lme4GS,logcondiscr,LPmerge,LRMF3,MAP,marcox,markovchain,MatrixExtra,matter,MBC,mcen,mclogit,MCMCglmm,mdhglm,MDPtoolbox,mediation,mefa4,metafor,mgwrsar,mi,midasml,mind,monocle,msda,MuData,MultiGlarmaVarSel,MultiOrd,mvglmmRank,N2R,nadiv,NBtsVarSel,NegBinBetaBinreg,NetworkRiskMeasures,neuroim2,NOISeq,numbat,OmicFlow,optbdmaeAT,optimbase,OptimModel,optrcdmaeAT,OrdNor,pagoda2,pblm,PCovR,pedgene,pedigree,pedigreemm,pense,PERMANOVA,phateR,PhylogeneticEM,pleio,POINT,PoisBinNonNor,PoisBinOrd,PoisBinOrdNonNor,PoisBinOrdNor,PoisNonNor,PoisNor,PRISMA,ProbitSpatial,prodest,psqn,qlcMatrix,qpcR,QRM,quadrupen,quasar,QZ,ramps,randPedPCA,rBMF,RCBR,RealVAMS,REBayes,recommenderlab,reglogit,RESET,RGE,RGENERATEPREC,RNewsflow,robustlmm,rsparse,rSPDE,rwc,S4Arrays,saeMSPE,sbw,scITD,scoup,sdwd,SEAGLE,sensory,serrsBayes,sglasso,sharpPen,SiPSiC,SKAT,snpStats,softImpute,sommer,soptdmaeA,SOR,SparseArray,SparseChol,sparseLRMatrix,sparsenet,sparsenetgls,sparsestep,spatialprobit,spatialreg,spatstat.sparse,speedglm,sRDA,sSDR,ssfa,stcos,StratifiedSampling,sureLDA,survey,surveyvoi,svydiags,systemfit,TargetScore,text2map,textir,textmineR,textTinyR,tmvtnorm,TPEA,triversity,tsapp,tvReg,uwot,vagam,VAM,WaveSampling,WGScan,wordspace
Reverse imports:abess,abnormality,abtest,ACV,AdapDiscom,adaptsmoFMRI,adelie,ADImpute,adjclust,ADMM,ADSIHT,aggregateBioVar,AGHmatrix,aghq,AGPRIS,agriutilities,AHM,ahMLE,AICcmodavg,alabaster.bumpy,alabaster.matrix,alakazam,albatross,altmeta,AMARETTO,amplican,anansi,ANCOMBC,anglemania,animalcules,animalEKF,anndata,anndataR,anticlust,apcluster,apdesign,aphylo,APL,aplms,applicable,ar.matrix,aramappings,arc,archetypal,ArCo,aRD,argo,ARGOS,aricode,ASGSCA,ashr,ASICS,asnipe,ASRgenomics,ATACseqTFEA,atena,AUCell,audubon,auxvecLASSO,AVGAS,backbone,bage,bamlss,bamm,BANAM,Banksy,basefun,BASiCS,batchelor,BayesBrainMap,BayesfMRI,BayesGP,BayesianTools,Bayesiantreg,BayesLN,BayesNSGP,BayesS5,BayesSampling,BayesSpace,BayesSUR,bayesWatch,bayNorm,bbmle,BCA1SG,BCEA,bcSeq,beachmat,beam,BEclear,benchmarkme,Bergm,BeSS,bestridge,BeviMed,BFF,BG2,BGmisc,BGVAR,bhetGP,bibliometrix,biblioverlap,biClassify,BiDAG,bigDM,bigergm,bigQF,BigQuic,bigsnpr,bigsparser,BinOrdNonNor,BioCor,BiocSingular,biomformat,BioNAR,bioregion,biospear,biscuiteer,blapsr,blase,blatent,blavaan,BlockCov,blockForest,blocking,BlockMissingData,blockmodeling,BLPestimatoR,bluster,bootnet,BOSSreg,brainGraph,brant,bravo,brglm2,bridgesampling,brms,bspcov,bsreg,BSTFA,BSW,btergm,BTYD,BumpyMatrix,BUSpaRse,bWGR,CAESAR.Suite,CAGEfightR,CAGEr,caracas,cardelino,Cardinal,CARDspa,cases,castor,CATALYST,catch,CatEncoders,CatsCradle,CausalMBSTS,causalOT,ccfindR,ccImpute,CDatanet,cdid,CEGO,celaref,celldex,CelliD,cencrne,censoredAIDS,cepreader,CeTF,CFM,cgaim,cgam,ChainLadder,chihaya,choicedata,chords,ChromSCape,chromVAR,CIAAWconsensus,cicero,CIMICE,CiteFuse,cleanNLP,clevr,ClimMobTools,climwin,CliquePercolation,ClustAssess,clusterExperiment,ClusterFoldSimilarity,ClusterGVis,clustifyr,clustSIGNAL,clustTMB,clustur,clustvarsel,CLVTools,cmR,CMShiny,cna,CNVreg,CNVScope,coalescentMCMC,cobin,coca,coda.base,codingMatrices,coFAST,coglasso,CollocInfer,colorrepel,colourvision,comato,combat.enigma,combi,COMBO,COMMA,CommKern,CompareCausalNetworks,complexplus,CompMix,Compositional,concordexR,conleyreg,conquer,conText,control,cope,copula,Coralysis,corpustools,corral,corrMCT,corTest,CoSMoS,COTAN,CoTiMA,countland,Countr,countsplit,countSTAR,covsim,CovTools,CoxBoost,coxme,CoxMK,CPSM,CR2,crisp,crisprDesign,CRMetrics,CrossExpression,Crossover,crqa,CRTspat,crumble,csaw,cSEM,csmpv,csurvey,ctmva,ctrialsgov,ctsem,ctsemOMX,ctsmTMB,cvCovEst,CVXR,cxr,Cyclops,CytoGLMM,cytominer,CytoSimplex,DAISIE,DamageDetective,DAMOCLES,dandelionR,dataPreparation,dbacf,dbcsp,dcanr,DCLEAR,DDD,DDL,ddml,ddpca,DDPstar,ddtlcm,decompTumor2Sig,decontX,decorrelate,decoupleR,deepgp,deepNN,deepregression,deepspat,DelayedMatrixStats,DelayedTensor,DemoKin,demuxmix,demuxSNP,denseFLMM,depCensoring,derfinderHelper,DEsingle,DESpace,destiny,DEsubs,detect,dfr,DHARMa,diagL1,DICEM,did,did2s,didimputation,DifferentialRegulation,diffusionMap,diffuStats,DIFM,DImodelsMulti,dineR,Dino,dinoR,dipw,Dire,DisaggregateTS,disaggregation,discfrail,disordR,distinct,diversityForest,DMRScan,DNAmixturesLite,DNEA,DNMF,doBy,dominoSignal,DOtools,dplR,DR.SC,dr4pl,DRaWR,DrBats,dreamlet,drf,DropletUtils,DSAM,dsem,dsp,dspline,dst,dtwclust,dualScale,dyngen,dynr,dynutils,dynwrap,e2tree,easySdcTable,eatATA,eBsc,eCAR,econet,EconGeo,EdSurvey,ef,EFAfactors,EFDR,EGAnet,ElliptCopulas,ELMER,EmbedSOM,EMC2,EMgaussian,enhancerHomologSearch,EnMCB,epca,Epi,EpiDISH,epigraHMM,epigrowthfit,epiregulon,epiregulon.extra,equateMultiple,ergm,ergm.multi,ergMargins,eRm,escape,espadon,estimateW,estimators,eva,eventPred,EventPredInCure,evolqg,evolvability,EWCE,ExperimentSubset,expertsurv,extraSuperpower,ExtrPatt,ez,face,FactChar,FactEff,FactorHet,factReg,fad,FamAgg,fastcmprsk,fastcox,fastcpd,fastFMM,fastglmpca,FastImputation,fastkqr,fastLink,fastNaiveBayes,FAVAR,fbar,fcaR,fdaMocca,fdapace,fdarep,fdasrvf,FDboost,fdesigns,fejiv,FELLA,FEprovideR,fetwfe,fGarch,fgdiR,fglsnet,fgsea,fiberLD,FieldSimR,file2meco,FindIt,FinNet,fishpond,FKSUM,FLAMES,flashier,FLASHMM,FlexGAM,FlexRL,flexrsurv,flexsurv,flowGraph,fmcmc,fmesher,fmrihrf,foreSIGHT,ForestTools,ForIT,fossilbrush,fPASS,frailtyEM,frechet,FRK,FSInteract,fssemR,FuncNN,fundiversity,funrar,funStatTest,FunSurv,fusedTree,fuser,galamm,gallery,GALLO,gammi,GAprediction,gasmodel,gasper,GaussSuppression,gcbd,GCCfactor,gcdnet,GDILM.SIR,GeDi,GeDS,geeasy,geecure,geex,gemma2,gen3sis,GeneNMF,GeneralizedWendland,GENESIS,GENLIB,GENMETA,GenOrd,GeoAdjust,GeoDiff,GeomArchetypal,geomeTriD,geommc,geostan,gesso,getspanel,GFD,GFDmcv,GFisher,ggbrain,ggmix,ggsector,gibasa,gif,GillespieSSA2,GINAX,gKRLS,gllvm,glmGamPoi,glmmLasso,glmmPen,glmmTMB,glmnetr,glmnetUtils,GLMpack,glmSparseNet,gMCP,gmfamm,GMMAT,gMOIP,gmtFD,gmwmx,gmwmx2,gnm,goat,gofcat,goric,gpboost,gplite,gps,GPTCM,GPvecchia,GRAB,GrabSVG,grandR,GRaNIE,graper,graph4lg,graphicalVAR,graphsim,gRbase,greed,grf,gRim,grpreg,GSALightning,gsbm,gslnls,GSVA,GTEs,gTestsMulti,GUniFrac,gustave,gvcAnalyzer,GWAS.BAYES,gwid,gWQS,GWRLASSO,GWSDAT,hal9001,harmony,hbsae,HCD,HDCI,HDF5Array,hdf5r.Extra,hdqr,hdsvm,heatmaps,hero,HERON,HeteroGGM,heteromi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shart,saeRobust,SAFEPG,SAIGEgds,SALES,samc,sanic,SANTA,SAR,sarsop,satuRn,SAVER,sbfc,ScaledMatrix,scam,scanMiRApp,SCArray,SCArray.sat,scATAC.Explorer,scater,scBFA,scBSP,scCATCH,scCB2,scClassify,sccore,scCustomize,scDblFinder,SCdeconR,scDesign3,scDHA,scDiagnostics,scds,SCFA,SCGLR,scGOclust,scGraphVerse,scHOT,scLANE,scMET,SCoRES,SCORNET,SCORPION,SCORPIUS,scov,scPCA,scpi,scPipe,scPOEM,scpoisson,scran,scRecover,ScreenClean,scregclust,scRepertoire,scRNAseq,scRNAseqApp,scRNAstat,scry,scShapes,scTenifoldKnk,scTenifoldNet,sctransform,scTreeViz,scuttle,sdcTable,sdmTMB,SDPDmod,sdpdth,seededlda,semfindr,semnova,semTests,seqHMM,SeqVarTools,SEraster,SEset,SETA,SEtools,Seurat,SeuratObject,sfclust,sgs,SHAPBoost,sharpr2,shinymrp,SID,Sie2nts,SiFINeT,sigFeature,SightabilityModel,Signac,SignacX,signatureSearch,signnet,silp,SimBu,simcausal,SimCorrMix,simdata,simer,simExam,SimInf,SIMle,SIMLR,SimMultiCorrData,simPIC,SimplicialComplex,simplifyNet,SimplyAgree,SimSurvey,SingleCellAlleleExperiment,singleCellHaystack,SingleCellMultiModal,SingleCellStat,singleCellTK,SingleMoleculeFootprinting,SingleR,SIRE,sirus,SISIR,skedastic,sklarsomega,slanter,SLBDD,slimrec,SLOPE,SLTCA,SmallCountRounding,smallstuff,smam,smartid,smile,SMNCensReg,smoothclust,smoothedLasso,smoothemplik,SmoothTensor,smurf,snapcount,sNPLS,soc.ca,SOMNiBUS,SoupX,SpaCCI,SpaceMarkers,SpaceTimeBSS,spacexr,SpaCOAP,spaMM,SpaNorm,spANOVA,spareg,spARI,sparrow,sparseCov,sparseDFM,sparseFLMM,sparsegl,sparseHessianFD,sparseinv,sparseMatrixStats,sparseMVN,sparsesvd,sparsio,SPAS,spatgraphs,spatialDE,SpatialDecon,SpatialFeatureExperiment,spatialGE,SpatialGEV,spatialLIBD,spatstat.data,spatstat.explore,spatstat.Knet,spatstat.linnet,spatstat.model,spatsurv,spBayes,SPCompute,spdgp,speakeasyR,SPECK,SpectralTAD,speedyBBT,spGARCH,sphet,SpiceFP,spldv,SplineDV,SplitKnockoff,splm,spmodel,spmoran,spoon,SpotClean,SPOTlight,spqdep,SPSP,spsur,SSBtools,SSGL,ssMRCD,ssMutPA,SSN2,stabm,StabMap,stan4bart,starm,starnet,statcomp,statgenHTP,statgenIBD,statnet.common,STB,stelfi,SteppedPower,stfit,stm,stocc,stR,strand,STREAK,sts,stylest2,SubcellularSpatialData,SubgrpID,success,sumFREGAT,SummarizedExperiment,SUMMER,superbiclust,SuperCell,SuperCellCyto,surbayes,surrosurv,surveillance,survival,survivalsvm,susieR,SVP,svrep,svs,svycoxme,svylme,symphony,SystemicR,syt,tabnet,TADCompare,TAG,TANDEM,TangledFeatures,TCA,tcl,tea,templateICAr,tensorTS,TENxIO,text2emotion,text2vec,TextForecast,textplot,textpress,textrecipes,TFisher,tglkmeans,thisutils,THREC,tidybulk,tidylda,tidySEM,tidyseurat,tidySingleCellExperiment,tidytext,tinyVAST,TKCat,TMB,TMExplorer,TML,TMSig,TOHM,TooManyCellsR,topdownr,topicmodels.etm,topics,TopicScore,TopKSignal,TPDDev,TraceAssist,tradeSeq,TrajectoryUtils,tram,tramME,transforEmotion,transformGamPoi,treeDA,TREG,TRESS,triplediff,TropFishR,trustOptim,TSCAN,tscopula,TSdisaggregation,tsDyn,tseriesTARMA,TSLA,tsrobprep,TSsmoothing,TTCA,ttservice,ttTensor,tukeytrend,TULIP,tvcure,tvR,TwoPhaseCorR,tximeta,txtplot,ubms,UCell,udpipe,ui,umap,umx,ungroup,unmarked,useful,uSORT,VAJointSurv,varbvs,VARcpDetectOnline,variancePartition,VariantTools,varjmcm,varTestnlme,VBJM,VCA,VDJdive,VDPO,VeccTMVN,velociraptor,veloviz,vglmer,Vicus,visa,visaOTR,ViSiElse,visiumStitched,voi,votesys,Voyager,vrnmf,vsmi,vsp,wactor,WaverideR,waydown,waywiser,wdnet,WeMix,wfe,wideRhino,widyr,winputall,WLogit,WoodburyMatrix,wordmap,wordvector,wppi,WpProj,xCell2,xcore,xenLite,xgboost,xLLiM,xrf,xxdi,yamss,ycevo,yuima,zellkonverter,zinbwave,ZIPFA
Reverse linking to:ahMLE,bayesWatch,bcSeq,cplm,fastPLS,GeneralizedWendland,geostatsp,hibayes,iglm,irlba,lme4,mcmcsae,OpenMx,PRIMME,PUlasso,robustlmm,spGARCH,TMB
Reverse suggests:abclass,abn,afex,AgreementInterval,alabaster.base,alkahest,alphastable,asympDiag,atime,autostats,BayesSurvive,beachmat.hdf5,beachmat.tiledb,BGLR,BigDataStatMeth,biotmle,BloodCancerMultiOmics2017,bonsai,booami,BREADR,brokenstick,brolgar,broom.mixed,bsseq,BulkSignalR,CalibrationCurves,car,caret,caugi,ccar3,cccd,CHETAH,ChoiceModelR,CLA,clarabel,classGraph,clubSandwich,cluster,cmfrec,cobs,combinIT,conflicted,corrgram,cpr,DAPAR,DataSimilarity,DelayedRandomArray,dependentsimr,diffHic,dimRed,discSurv,DoE.MIParray,DPQmpfr,drape,dscore,DWLS,dyndimred,e1071,ecodive,ECOSolveR,edgeR,EIX,ePCR,EpiCompare,estar,eyetrackingR,fabletools,fabR,fdaconcur,featForge,fixest,flacco,FSelectorRcpp,gap,gcKrig,GDINA,gdsfmt,gear,gemtc,genscore,gets,ggeffects,ggsc,glmpca,gmodels,GPUmatrix,grafify,h2o,h2o4gpu,hamlet,hardhat,hbsaems,hdi,HiCDCPlus,hmclearn,HSAR,HSAUR,HSAUR2,hydra,IHW,insight,ivdesign,ivmte,jazzPanda,jetty,KFAS,konfound,lava,lda,lfactors,LiblineaR,literanger,lmeInfo,looking4clusters,lotri,MatrixGenerics,matsindf,mefa,mfpp,miceadds,mildsvm,mimager,misty,mlt.docreg,MoBPS,modelbased,modeltuning,MOFA2,MsCoreUtils,muscData,naivebayes,NCmisc,neat,netmediate,norMmix,ODT,omXplore,OPWeight,parameters,parsnip,pcalg,pcFactorStan,pdp,performance,plotthis,pmml,prinsurf,psborrow,Pv3Rs,QFeatures,R.matlab,r2mlm,rARPACK,rattle,RcppArmadillo,RcppEigen,RCTS,recosystem,rgraph6,rmumps,robustbase,robustvarComp,rope,round,RPatternJoin,rSDR,rstan,RTMBdist,rxode2,Ryacas,S4Vectors,sageR,sca,scaeData,scGPS,SCIBER,scMerge,scMultiome,SCpubr,scrapper,scs,sf,sfsmisc,simona,SIMplyBee,simstudy,SimSurvNMarker,simtrial,SingleCellExperiment,sirt,SNPRelate,spam,sparsevctrs,spatialEco,spdep,srvyr,stabledist,StanHeaders,STPGA,tableone,TAD,TAPseq,tern.mmrm,tiledb,TileDBArray,TOAST,tramnet,treestats,triplesmatch,trtf,tscount,tximport,visreg,WeightSVM,workflows,xcoredata,xrnet,zenplots
Reverse enhances:coop,isotree,jamba,Rcplex,Rcsdp,Rsymphony,rviewgraph,skmeans,slam

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