Matrix: HB/bcspwr07

Description: SYMMETRIC STRUCTURE REPRESENTATION OF WESTERN US POWER NETWORK

HB/bcspwr07 graph
(undirected graph drawing)


HB/bcspwr07

  • 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: 11 KB. Use UFget(19) or UFget('HB/bcspwr07') in MATLAB.
  • download in Matrix Market format, file size: 11 KB.
  • download in Rutherford/Boeing format, file size: 10 KB.

    Matrix properties
    number of rows1,612
    number of columns1,612
    nonzeros5,824
    structural full rank?yes
    structural rank1,612
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorB. Dembart, J. Lewis
    editorI. Duff, R. Grimes, J. Lewis
    date1981
    kindpower network problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD5,285
    Cholesky flop count2.1e+04
    nnz(L+U), no partial pivoting, with AMD8,958
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD7,487
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD14,867

    SVD-based statistics:
    norm(A)5.66517
    min(svd(A))6.58248e-18
    cond(A)8.60643e+17
    rank(A)1,601
    sprank(A)-rank(A)11
    null space dimension11
    full numerical rank?no
    singular value gap1.71265e+12

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

    HB/bcspwr07 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.