Matrix: Simon/raefsky4

Description: BUCKLING PROBLEM FOR CONTAINER MODEL, ARTHUR RAEFSKY, CENTRIC ENG.

Simon/raefsky4 graph
(undirected graph drawing)


Simon/raefsky4

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  • Matrix group: Simon
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  • download as a MATLAB mat-file, file size: 10 MB. Use UFget(817) or UFget('Simon/raefsky4') in MATLAB.
  • download in Matrix Market format, file size: 7 MB.
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    Matrix properties
    number of rows19,779
    number of columns19,779
    nonzeros1,316,789
    structural full rank?yes
    structural rank19,779
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries11,822
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

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

    Additional fieldssize and type
    bfull 19779-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD7,304,797
    Cholesky flop count5.3e+09
    nnz(L+U), no partial pivoting, with AMD14,589,815
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD10,855,761
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD21,141,725

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 11822 explicit zero entries.

    SVD-based statistics:
    norm(A)2.66694e+11
    min(svd(A))0.0085203
    cond(A)3.1301e+13
    rank(A)19,771
    sprank(A)-rank(A)8
    null space dimension8
    full numerical rank?no
    singular value gap1.10382

    singular values (MAT file):click here
    SVD method used:s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero
    status:ok

    Simon/raefsky4 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.