Matrix: VanVelzen/Zd_Jac2

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

VanVelzen/Zd_Jac2 graph VanVelzen/Zd_Jac2 graph
(bipartite graph drawing) (graph drawing of A+A')

VanVelzen/Zd_Jac2 dmperm of VanVelzen/Zd_Jac2

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  • download as a MATLAB mat-file, file size: 11 MB. Use UFget(1338) or UFget('VanVelzen/Zd_Jac2') in MATLAB.
  • download in Matrix Market format, file size: 17 MB.
  • download in Rutherford/Boeing format, file size: 14 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 AMD53,561,008
    Cholesky flop count3.4e+11
    nnz(L+U), no partial pivoting, with AMD107,099,181
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD6,207,057
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD20,002,937

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

    SVD-based statistics:
    null space dimension9,464
    full numerical rank?no
    singular value gap1.00141

    singular values (MAT file):click here
    SVD method used:s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero

    VanVelzen/Zd_Jac2 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.