Matrix: HB/1138_bus

Description: S ADMITTANCE MATRIX 1138 BUS POWER SYSTEM, D.J.TYLAVSKY, JULY 1985.

HB/1138_bus graph
(undirected graph drawing)


HB/1138_bus

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 27 KB. Use UFget(1) or UFget('HB/1138_bus') in MATLAB.
  • download in Matrix Market format, file size: 19 KB.
  • download in Rutherford/Boeing format, file size: 20 KB.

    Matrix properties
    number of rows1,138
    number of columns1,138
    nonzeros4,054
    structural full rank?yes
    structural rank1,138
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorD. Tylavsky
    editorI. Duff, R. Grimes, J. Lewis
    date1985
    kindpower network problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD3,265
    Cholesky flop count1.1e+04
    nnz(L+U), no partial pivoting, with AMD5,392
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD4,443
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD9,002

    SVD-based statistics:
    norm(A)30148.8
    min(svd(A))0.00351686
    cond(A)8.57265e+06
    rank(A)1,138
    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/1138_bus 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.