Matrix: VanVelzen/Zd_Jac2_db

Description: Chemical process simulation, Nils van Velzen (diagonal blocks only)

VanVelzen/Zd_Jac2_db graph VanVelzen/Zd_Jac2_db graph
(bipartite graph drawing) (graph drawing of A+A')

VanVelzen/Zd_Jac2_db dmperm of VanVelzen/Zd_Jac2_db

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  • download as a MATLAB mat-file, file size: 5 MB. Use UFget(1337) or UFget('VanVelzen/Zd_Jac2_db') in MATLAB.
  • download in Matrix Market format, file size: 7 MB.
  • download in Rutherford/Boeing format, file size: 6 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.9,833
    explicit zero entries0
    nonzero pattern symmetry 30%
    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 AMD3,285,210
    Cholesky flop count2.0e+09
    nnz(L+U), no partial pivoting, with AMD6,547,585
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,629,609
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD3,910,842

    SVD-based statistics:
    null space dimension475
    full numerical rank?no
    singular value gap1.03432

    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_db 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.