Matrix: Simon/olafu

Description: STRUCTURE FROM NASA LANGLEY, ACCURACY PROBLEM ON Y-MP

Simon/olafu graph
(undirected graph drawing)


Simon/olafu

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  • Matrix group: Simon
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  • download as a MATLAB mat-file, file size: 7 MB. Use UFget(813) or UFget('Simon/olafu') in MATLAB.
  • download in Matrix Market format, file size: 5 MB.
  • download in Rutherford/Boeing format, file size: 4 MB.

    Matrix properties
    number of rows16,146
    number of columns16,146
    nonzeros1,015,156
    structural full rank?yes
    structural rank16,146
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

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

    Additional fieldssize and type
    bfull 16146-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD3,095,636
    Cholesky flop count1.1e+09
    nnz(L+U), no partial pivoting, with AMD6,175,126
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD3,459,709
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD7,347,770

    SVD-based statistics:
    norm(A)9.4787e+11
    min(svd(A))1.24542
    cond(A)7.61085e+11
    rank(A)16,145
    sprank(A)-rank(A)1
    null space dimension1
    full numerical rank?no
    singular value gap2.18987

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

    Simon/olafu 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.