Matrix: Hohn/fd18

Description: M. Hohn, Univ Utah. Single-material crack problem, finite diff log grid

Hohn/fd18 graph Hohn/fd18 graph
(bipartite graph drawing) (graph drawing of A+A')

Hohn/fd18 dmperm of Hohn/fd18

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  • Matrix group: Hohn
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  • download as a MATLAB mat-file, file size: 172 KB. Use UFget(919) or UFget('Hohn/fd18') in MATLAB.
  • download in Matrix Market format, file size: 296 KB.
  • download in Rutherford/Boeing format, file size: 235 KB.

    Matrix properties
    number of rows16,428
    number of columns16,428
    structural full rank?yes
    structural rank16,428
    # of blocks from dmperm1,061
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorM. Hohn
    editorT. Davis
    kindmaterials problem
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 16428-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD8,300,663
    Cholesky flop count1.5e+10
    nnz(L+U), no partial pivoting, with AMD16,584,898
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD766,230
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,452,963

    SVD-based statistics:
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;
    status:SVD did not converge.

    Hohn/fd18 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.