Matrix: Norris/heart1

Description: S.Norris, Univ. Auckland. Quasi-static FEM of a heart

Norris/heart1 graph
(undirected graph drawing)


Norris/heart1

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  • Matrix group: Norris
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  • download as a MATLAB mat-file, file size: 11 MB. Use UFget(890) or UFget('Norris/heart1') in MATLAB.
  • download in Matrix Market format, file size: 17 MB.
  • download in Rutherford/Boeing format, file size: 14 MB.

    Matrix properties
    number of rows3,557
    number of columns3,557
    nonzeros1,385,317
    structural full rank?yes
    structural rank3,557
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries2,456
    nonzero pattern symmetrysymmetric
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorS. Norris
    editorT. Davis
    date2003
    kind2D/3D problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,931,855
    Cholesky flop count1.3e+09
    nnz(L+U), no partial pivoting, with AMD3,860,153
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD2,528,036
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD5,517,568

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 2456 explicit zero entries.

    SVD-based statistics:
    norm(A)1.00609e+06
    min(svd(A))0.00218761
    cond(A)4.59905e+08
    rank(A)3,557
    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:ok

    Norris/heart1 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.