Matrix: HB/bcspwr04

Description: SYMMETRIC STRUCTURE EQUIVALENCED REPRESENTATION OF U.S. POWER NETWORK

HB/bcspwr04 graph
(undirected graph drawing)

HB/bcspwr04

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 3 KB. Use UFget(16) or UFget('HB/bcspwr04') in MATLAB.
  • download in Matrix Market format, file size: 3 KB.
  • download in Rutherford/Boeing format, file size: 2 KB.

    Matrix properties
    number of rows274
    number of columns274
    nonzeros1,612
    structural full rank?yes
    structural rank274
    # 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 AMD1,331
    Cholesky flop count8.2e+03
    nnz(L+U), no partial pivoting, with AMD2,388
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,835
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD3,790

    SVD-based statistics:
    norm(A)10.1146
    min(svd(A))9.11924e-18
    cond(A)1.10915e+18
    rank(A)262
    sprank(A)-rank(A)12
    null space dimension12
    full numerical rank?no
    singular value gap7.5335e+11

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

    HB/bcspwr04 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.