Matrix: HVDC/hvdc1

Description: Power simulation matrix, Alex Wang, Manitoba HVDC, Canada

HVDC/hvdc1 graph HVDC/hvdc1 graph
(bipartite graph drawing) (graph drawing of A+A')

HVDC/hvdc1 dmperm of HVDC/hvdc1
scc of HVDC/hvdc1

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  • Matrix group: HVDC
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(1874) or UFget('HVDC/hvdc1') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 1 MB.

    Matrix properties
    number of rows24,842
    number of columns24,842
    structural full rank?yes
    structural rank24,842
    # of blocks from dmperm31
    # strongly connected comp.7
    explicit zero entries1,555
    nonzero pattern symmetry 98%
    numeric value symmetry 10%
    Cholesky candidate?no
    positive definite?no

    authorA. Wang
    editorT. Davis
    kindpower network problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 24842-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD124,423
    Cholesky flop count8.6e+05
    nnz(L+U), no partial pivoting, with AMD224,004
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD208,510
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD427,644

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1555 explicit zero entries.

    SVD-based statistics:
    null space dimension0
    full numerical rank?yes

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

    HVDC/hvdc1 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.