Matrix: VanVelzen/std1_Jac3

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

VanVelzen/std1_Jac3 graph VanVelzen/std1_Jac3 graph
(bipartite graph drawing) (graph drawing of A+A')

VanVelzen/std1_Jac3 dmperm of VanVelzen/std1_Jac3

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  • download as a MATLAB mat-file, file size: 10 MB. Use UFget(1336) or UFget('VanVelzen/std1_Jac3') in MATLAB.
  • download in Matrix Market format, file size: 15 MB.
  • download in Rutherford/Boeing format, file size: 12 MB.

    Matrix properties
    number of rows21,982
    number of columns21,982
    structural full rank?yes
    structural rank21,982
    # of blocks from dmperm11,091
    # strongly connected comp.1
    explicit zero entries474
    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 21982-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD43,047,350
    Cholesky flop count2.5e+11
    nnz(L+U), no partial pivoting, with AMD86,072,718
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD8,882,282
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD22,063,906

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 474 explicit zero entries.

    SVD-based statistics:
    null space dimension9,935
    full numerical rank?no
    singular value gap1.00315

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

    VanVelzen/std1_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.