Matrix: GHS_psdef/jnlbrng1

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

GHS_psdef/jnlbrng1 graph
(undirected graph drawing)


GHS_psdef/jnlbrng1

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  • Matrix group: GHS_psdef
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  • download as a MATLAB mat-file, file size: 347 KB. Use UFget(1312) or UFget('GHS_psdef/jnlbrng1') in MATLAB.
  • download in Matrix Market format, file size: 458 KB.
  • download in Rutherford/Boeing format, file size: 281 KB.

    Matrix properties
    number of rows40,000
    number of columns40,000
    nonzeros199,200
    structural full rank?yes
    structural rank40,000
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorJ. More', G. Toraldo
    editorN. Gould, Y. Hu, J. Scott
    date1991
    kindoptimization problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,081,911
    Cholesky flop count1.1e+08
    nnz(L+U), no partial pivoting, with AMD2,123,822
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,797,823
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD3,294,336

    SVD-based statistics:
    norm(A)18.4273
    min(svd(A))0.100571
    cond(A)183.227
    rank(A)40,000
    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_psdef/jnlbrng1 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.