Matrix: Li/pli

Description: 3D Finite element matrix, magnetohydrodynamic problem with 5 variables

Li/pli graph
(undirected graph drawing)

Li/pli dmperm of Li/pli

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  • Matrix group: Li
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(733) or UFget('Li/pli') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 595 KB.

    Matrix properties
    number of rows22,695
    number of columns22,695
    structural full rank?yes
    structural rank22,695
    # of blocks from dmperm2
    # strongly connected comp.2
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?yes
    positive definite?no

    authorB. Li
    editorT. Davis
    kindduplicate electromagnetics problem
    2D/3D problem?yes


    nonzero pattern of Li/li

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD30,408,095
    Cholesky flop count7.9e+10
    nnz(L+U), no partial pivoting, with AMD60,793,495
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD28,808,169
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD49,884,385

    SVD-based statistics:
    null space dimension564
    full numerical rank?no
    singular value gap195.457

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

    Li/pli 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.