• UF Sparse Matrix Collection
  • Matrix group: GHS_psdef
  • Click here for a description of the GHS_psdef group.
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  • Matrix: GHS_psdef/torsion1
  • Description: Gould, Hu, & Scott: optimization problem (CUTEr)
  • download as a MATLAB mat-file, file size: 328 KB. Use UFget(1315) or UFget('GHS_psdef/torsion1') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    GHS_psdef/torsion1

    dmperm of GHS_psdef/torsion1

    GHS_psdef/torsion1 graph

    Matrix properties
    number of rows40,000
    number of columns40,000
    nonzeros197,608
    structural full rank?yes
    structural rank40,000
    # of blocks from dmperm5
    # strongly connected comp.5
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorR. Dembo, U. Tulowitzki
    editorP. Toint
    date1983
    kindduplicate optimization problem
    2D/3D problem?no

    Notes:

    duplicate of GHS_psdef/obstclae
    

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))1,058,836 936,700 940,471
    Cholesky flop count1.2e+08 8.8e+07 8.9e+07
    nnz(L+U), no partial pivoting2,077,672 1,833,400 1,840,942
    nnz(V) for QR, upper bound nnz(L) for LU2,073,834 1,679,361 1,709,008
    nnz(R) for QR, upper bound nnz(U) for LU3,783,582 3,107,253 3,154,300

    Maintained by Tim Davis, last updated 04-May-2008.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.