Matrix: HB/bcspwr02

Description: SYMMETRIC STRUCTURE OF A SMALL TEST POWER SYSTEM

HB/bcspwr02 graph
(undirected graph drawing)


HB/bcspwr02

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 782 bytes. Use UFget(14) or UFget('HB/bcspwr02') in MATLAB.
  • download in Matrix Market format, file size: 688 bytes.
  • download in Rutherford/Boeing format, file size: 750 bytes.

    Matrix properties
    number of rows49
    number of columns49
    nonzeros167
    structural full rank?yes
    structural rank49
    # 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 AMD129
    Cholesky flop count3.6e+02
    nnz(L+U), no partial pivoting, with AMD209
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD149
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD275

    SVD-based statistics:
    norm(A)4.30857
    min(svd(A))1.32075e-16
    cond(A)3.26221e+16
    rank(A)48
    sprank(A)-rank(A)1
    null space dimension1
    full numerical rank?no
    singular value gap5.75129e+14

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

    HB/bcspwr02 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.