Matrix: Hohn/sinc18

Description: M. Hohn, Univ Utah. Single-material crack problem, sinc basis log grid

Hohn/sinc18 graph Hohn/sinc18 graph
(bipartite graph drawing) (graph drawing of A+A')


Hohn/sinc18 dmperm of Hohn/sinc18

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  • download as a MATLAB mat-file, file size: 3 MB. Use UFget(922) or UFget('Hohn/sinc18') in MATLAB.
  • download in Matrix Market format, file size: 6 MB.
  • download in Rutherford/Boeing format, file size: 3 MB.

    Matrix properties
    number of rows16,428
    number of columns16,428
    nonzeros948,696
    structural full rank?yes
    structural rank16,428
    # of blocks from dmperm779
    # strongly connected comp.1
    explicit zero entries25,130
    nonzero pattern symmetry 1%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorM. Hohn
    editorT. Davis
    date2003
    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 AMD17,308,496
    Cholesky flop count5.0e+10
    nnz(L+U), no partial pivoting, with AMD34,600,564
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD40,755,608
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD66,091,121

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 25130 explicit zero entries.

    SVD-based statistics:
    norm(A)4.20767e+08
    min(svd(A))0.00319955
    cond(A)1.31508e+11
    rank(A)16,428
    sprank(A)-rank(A)0
    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/sinc18 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.