Matrix: HB/bcspwr10

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

HB/bcspwr10 graph
(undirected graph drawing)


HB/bcspwr10

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 54 KB. Use UFget(22) or UFget('HB/bcspwr10') in MATLAB.
  • download in Matrix Market format, file size: 50 KB.
  • download in Rutherford/Boeing format, file size: 41 KB.

    Matrix properties
    number of rows5,300
    number of columns5,300
    nonzeros21,842
    structural full rank?yes
    structural rank5,300
    # 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 AMD27,938
    Cholesky flop count2.5e+05
    nnz(L+U), no partial pivoting, with AMD50,576
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD52,504
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD103,168

    SVD-based statistics:
    norm(A)6.81536
    min(svd(A))4.32344e-17
    cond(A)1.57637e+17
    rank(A)5,276
    sprank(A)-rank(A)24
    null space dimension24
    full numerical rank?no
    singular value gap2.40712e+11

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

    HB/bcspwr10 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.