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


  • Matrix: GHS_indef/bratu3d
  • Description: Gould, Hu, & Scott: 3D Bratu problem (CUTEr)
  • download as a MATLAB mat-file, file size: 297 KB. Use UFget(1299) or UFget('GHS_indef/bratu3d') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    GHS_indef/bratu3d

    dmperm of GHS_indef/bratu3d

    scc of GHS_indef/bratu3d

    GHS_indef/bratu3d graph

    Matrix properties
    number of rows27,792
    number of columns27,792
    nonzeros173,796
    structural full rank?yes
    structural rank27,792
    # of blocks from dmperm3,460
    # strongly connected comp.285
    entries not in dmperm blocks6,348
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorJ. More'
    editorP. Toint
    date1989
    kind2D/3D problem
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 27792-by-1

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))7,006,763 5,250,713 2,561,068
    Cholesky flop count7.6e+09 3.9e+09 9.2e+08
    nnz(L+U), no partial pivoting13,985,734 10,473,634 5,100,692
    nnz(V) for QR, upper bound nnz(L) for LU18,366,688 10,333,495 5,249,804
    nnz(R) for QR, upper bound nnz(U) for LU30,659,927 17,913,860 9,239,288

    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.