Matrix: VanVelzen/Zd_Jac3

Description: Chemical process simulation, Nils van Velzen (complete problem)

VanVelzen/Zd_Jac3 graph VanVelzen/Zd_Jac3 graph
(bipartite graph drawing) (graph drawing of A+A')

VanVelzen/Zd_Jac3 dmperm of VanVelzen/Zd_Jac3

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  • download as a MATLAB mat-file, file size: 13 MB. Use UFget(1340) or UFget('VanVelzen/Zd_Jac3') in MATLAB.
  • download in Matrix Market format, file size: 20 MB.
  • download in Rutherford/Boeing format, file size: 17 MB.

    Matrix properties
    number of rows22,835
    number of columns22,835
    structural full rank?yes
    structural rank22,835
    # of blocks from dmperm9,833
    # strongly connected comp.1
    explicit zero entries426
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorN. van Velzen
    editorT. Davis
    kindchemical process simulation problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 22835-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD54,109,374
    Cholesky flop count3.4e+11
    nnz(L+U), no partial pivoting, with AMD108,195,913
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD7,848,403
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD22,350,088

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 426 explicit zero entries.

    SVD-based statistics:
    null space dimension9,467
    full numerical rank?no
    singular value gap1.00035

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

    VanVelzen/Zd_Jac3 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.