Matrix: GHS_psdef/obstclae

Description: Gould, Hu, & Scott: quadratic obstacle problem (CUTEr)

GHS_psdef/obstclae graph
(undirected graph drawing)

GHS_psdef/obstclae dmperm of GHS_psdef/obstclae

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  • Matrix group: GHS_psdef
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  • download as a MATLAB mat-file, file size: 327 KB. Use UFget(1314) or UFget('GHS_psdef/obstclae') in MATLAB.
  • download in Matrix Market format, file size: 371 KB.
  • download in Rutherford/Boeing format, file size: 263 KB.

    Matrix properties
    number of rows40,000
    number of columns40,000
    structural full rank?yes
    structural rank40,000
    # of blocks from dmperm5
    # strongly connected comp.5
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorR. Dembo, U. Tulowitzki
    editorP. Toint
    kindoptimization problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,058,836
    Cholesky flop count1.2e+08
    nnz(L+U), no partial pivoting, with AMD2,077,672
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD2,073,834
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD3,783,582

    SVD-based statistics:
    null space dimension0
    full numerical rank?yes

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

    GHS_psdef/obstclae 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.