Matrix: Toledo/deltaX

Description: high fillin with exact partial pivoting

Toledo/deltaX graph
(bipartite graph drawing)


Toledo/deltaX

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  • Matrix group: Toledo
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  • download as a MATLAB mat-file, file size: 792 KB. Use UFget(1332) or UFget('Toledo/deltaX') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 996 KB.

    Matrix properties
    number of rows68,600
    number of columns21,961
    nonzeros247,424
    structural full rank?yes
    structural rank21,961
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    authorS. Toledo
    editorT. Davis
    date2006
    kindcounter-example problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD380,896,362
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD59,379,072

    SVD-based statistics:
    norm(A)51.5258
    min(svd(A))4.43415e-15
    cond(A)1.16202e+16
    rank(A)21,957
    sprank(A)-rank(A)4
    null space dimension4
    full numerical rank?no
    singular value gap1.56027e+13

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

    Toledo/deltaX 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.