Matrix: Hohn/sinc12

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

Hohn/sinc12 graph Hohn/sinc12 graph
(bipartite graph drawing) (graph drawing of A+A')

Hohn/sinc12 dmperm of Hohn/sinc12

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: Hohn
  • Click here for a description of the Hohn group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 882 KB. Use UFget(920) or UFget('Hohn/sinc12') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 569 KB.

    Matrix properties
    number of rows7,500
    number of columns7,500
    structural full rank?yes
    structural rank7,500
    # of blocks from dmperm527
    # strongly connected comp.1
    explicit zero entries10,994
    nonzero pattern symmetry 2%
    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 7500-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD3,661,980
    Cholesky flop count4.5e+09
    nnz(L+U), no partial pivoting, with AMD7,316,460
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD8,502,315
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD13,894,291

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 10994 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/sinc12 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.