Matrix: GHS_psdef/pds10

Description: Gould, Hu, & Scott: Netlib PDS10 problem, A*A' (see LPnetlib/lp_pds_10)

GHS_psdef/pds10 graph
(undirected graph drawing)


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  • Matrix group: GHS_psdef
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  • download as a MATLAB mat-file, file size: 247 KB. Use UFget(1272) or UFget('GHS_psdef/pds10') in MATLAB.
  • download in Matrix Market format, file size: 228 KB.
  • download in Rutherford/Boeing format, file size: 173 KB.

    Matrix properties
    number of rows16,558
    number of columns16,558
    structural full rank?yes
    structural rank16,558
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?yes
    positive definite?no

    authorJ. Kennington
    editorG. Kumfert, A. Pothen
    kindoptimization problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,605,971
    Cholesky flop count9.2e+08
    nnz(L+U), no partial pivoting, with AMD3,195,384
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD12,343,582
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD21,897,560

    SVD-based statistics:
    null space dimension39
    full numerical rank?no
    singular value gap2.79877e+11

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

    GHS_psdef/pds10 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.