Matrix: Hohn/sinc15

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

Hohn/sinc15 graph Hohn/sinc15 graph
(bipartite graph drawing) (graph drawing of A+A')

Hohn/sinc15 dmperm of Hohn/sinc15

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  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(921) or UFget('Hohn/sinc15') in MATLAB.
  • download in Matrix Market format, file size: 3 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.

    Matrix properties
    number of rows11,532
    number of columns11,532
    structural full rank?yes
    structural rank11,532
    # of blocks from dmperm653
    # strongly connected comp.1
    explicit zero entries17,342
    nonzero pattern symmetry 1%
    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 11532-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD8,658,431
    Cholesky flop count1.8e+10
    nnz(L+U), no partial pivoting, with AMD17,305,330
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD20,541,699
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD33,047,978

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 17342 explicit zero entries.

    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/sinc15 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.