Matrix: Norris/heart3

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

Norris/heart3 graph
(undirected graph drawing)


Norris/heart3

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  • Matrix group: Norris
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  • download as a MATLAB mat-file, file size: 5 MB. Use UFget(892) or UFget('Norris/heart3') in MATLAB.
  • download in Matrix Market format, file size: 8 MB.
  • download in Rutherford/Boeing format, file size: 7 MB.

    Matrix properties
    number of rows2,339
    number of columns2,339
    nonzeros680,341
    structural full rank?yes
    structural rank2,339
    # 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 AMD886,331
    Cholesky flop count4.0e+08
    nnz(L+U), no partial pivoting, with AMD1,770,323
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,084,402
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD2,261,420

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

    SVD-based statistics:
    norm(A)488010
    min(svd(A))0.232135
    cond(A)2.10226e+06
    rank(A)2,339
    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/heart3 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.