Matrix: HB/gemat1

Description: UNSUMMETRIC MATRIX FROM G.E. OPF PROGRAM. WESTERN UTILITY SYSTEM.

HB/gemat1 graph
(bipartite graph drawing)


HB/gemat1

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: HB
  • Click here for a description of the HB 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: 374 KB. Use UFget(155) or UFget('HB/gemat1') in MATLAB.
  • download in Matrix Market format, file size: 359 KB.
  • download in Rutherford/Boeing format, file size: 314 KB.

    Matrix properties
    number of rows4,929
    number of columns10,595
    nonzeros46,591
    structural full rank?yes
    structural rank4,929
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries778
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    authorR. Burchett
    editorI. Duff, R. Grimes, J. Lewis
    date1984
    kindpower network problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,307,750
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD99,257

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 778 explicit zero entries.

    SVD-based statistics:
    norm(A)23446.1
    min(svd(A))0.000199431
    cond(A)1.17565e+08
    rank(A)4,929
    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

    HB/gemat1 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.