Matrix: GHS_indef/dtoc

Description: Gould, Hu, & Scott: discrete-time optimal control (CUTEr)

GHS_indef/dtoc graph
(undirected graph drawing)

GHS_indef/dtoc dmperm of GHS_indef/dtoc

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  • Matrix group: GHS_indef
  • Click here for a description of the GHS_indef group.
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  • download as a MATLAB mat-file, file size: 111 KB. Use UFget(1234) or UFget('GHS_indef/dtoc') in MATLAB.
  • download in Matrix Market format, file size: 110 KB.
  • download in Rutherford/Boeing format, file size: 83 KB.

    Matrix properties
    number of rows24,993
    number of columns24,993
    structural full rank?no
    structural rank19,994
    # of blocks from dmperm2
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?no
    positive definite?no

    authorT. Coleman, A. Liao
    editorP. Toint
    kindoptimization problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD74,971
    Cholesky flop count2.3e+05
    nnz(L+U), no partial pivoting, with AMD124,949
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD25,024,990
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD94,958

    SVD-based statistics:
    null space dimension4,999
    full numerical rank?no
    singular value gap4.99398e+10

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

    GHS_indef/dtoc 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.