Matrix: GHS_indef/c-58

Description: Schenk: IBM TJ Watson, Yorktown, nonlinear optimization

GHS_indef/c-58 graph
(undirected graph drawing)


GHS_indef/c-58 dmperm of GHS_indef/c-58

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  • Matrix group: GHS_indef
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  • download as a MATLAB mat-file, file size: 3 MB. Use UFget(1221) or UFget('GHS_indef/c-58') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.

    Matrix properties
    number of rows37,595
    number of columns37,595
    nonzeros552,551
    structural full rank?yes
    structural rank37,595
    # of blocks from dmperm4
    # strongly connected comp.4
    explicit zero entries6
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorIBM
    editorO. Schenk
    date2004
    kindoptimization problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 37595-by-1

    Notes:

    Revised Nov 2006; relative eps changes to A, right-hand-side added.
    Note that this matrix should have been placed in the Schenk_IBMNA/ 
    directory when it was first added in August 2004, but moving it now
    would disrupt exising users of the collection.                     
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD2,291,656
    Cholesky flop count1.9e+09
    nnz(L+U), no partial pivoting, with AMD4,545,717
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD101,554,464
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD148,881,383

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 6 explicit zero entries.

    SVD-based statistics:
    norm(A)54154.7
    min(svd(A))0.00161982
    cond(A)3.34325e+07
    rank(A)37,595
    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

    GHS_indef/c-58 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.