• UF Sparse Matrix Collection
  • Matrix group: ND
  • Click here for a description of the ND group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups


  • Matrix: ND/nd12k
  • Description: ND problem set, matrix nd12k
  • download as a MATLAB mat-file, file size: 103 MB. Use UFget(938) or UFget('ND/nd12k') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    ND/nd12k

    ND/nd12k graph

    Matrix properties
    number of rows36,000
    number of columns36,000
    nonzeros14,220,946
    structural full rank?yes
    structural rank36,000
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorauthor unknown
    editorT. Davis
    date2003
    kind2D/3D problem
    2D/3D problem?yes

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))160,627,641 114,645,701
    Cholesky flop count1.0e+12 4.9e+11
    nnz(L+U), no partial pivoting321,219,282 229,255,402
    nnz(V) for QR, upper bound nnz(L) for LU156,052,130 -
    nnz(R) for QR, upper bound nnz(U) for LU315,748,711 -

    Maintained by Tim Davis, last updated 04-May-2008.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.