Matrix: ND/nd12k

Description: ND problem set, matrix nd12k

ND/nd12k graph
(undirected graph drawing)


ND/nd12k

  • Home page of the 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
  • download as a MATLAB mat-file, file size: 103 MB. Use UFget(938) or UFget('ND/nd12k') in MATLAB.
  • download in Matrix Market format, file size: 55 MB.
  • download in Rutherford/Boeing format, file size: 44 MB.

    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
    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:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD160,627,641
    Cholesky flop count1.0e+12
    nnz(L+U), no partial pivoting, with AMD321,219,282
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD156,052,130
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD315,748,711

    SVD-based statistics:
    norm(A)138.228
    min(svd(A))1.0387e-05
    cond(A)1.33078e+07
    rank(A)36,000
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (A))
    status:ok

    ND/nd12k svd

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.