Matrix: Simon/raefsky6

Description: SLOSH TANK MODEL ARTHUR RAEFSKY, CENTRIC ENG.

Simon/raefsky6 graph Simon/raefsky6 graph
(bipartite graph drawing) (graph drawing of A+A')


Simon/raefsky6 dmperm of Simon/raefsky6

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  • Matrix group: Simon
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  • download as a MATLAB mat-file, file size: 661 KB. Use UFget(819) or UFget('Simon/raefsky6') in MATLAB.
  • download in Matrix Market format, file size: 991 KB.
  • download in Rutherford/Boeing format, file size: 751 KB.

    Matrix properties
    number of rows3,402
    number of columns3,402
    nonzeros130,371
    structural full rank?yes
    structural rank3,402
    # of blocks from dmperm3,402
    # strongly connected comp.3,402
    explicit zero entries7,474
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorA. Raefsky
    editorH. Simon
    date1993
    kindstructural problem
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 3402-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD665,212
    Cholesky flop count1.8e+08
    nnz(L+U), no partial pivoting, with AMD1,327,022
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD406,211
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,030,839

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 7474 explicit zero entries.

    SVD-based statistics:
    norm(A)3.97745e+14
    min(svd(A))0.0281444
    cond(A)1.41323e+16
    rank(A)2,586
    sprank(A)-rank(A)816
    null space dimension816
    full numerical rank?no
    singular value gap629.254

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;
    status:ok

    Simon/raefsky6 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.