Matrix: GHS_psdef/opt1

Description: Matrix Representation of OPT1, part of condeep cylinder

GHS_psdef/opt1 graph
(undirected graph drawing)


GHS_psdef/opt1

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  • Matrix group: GHS_psdef
  • Click here for a description of the GHS_psdef group.
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  • download as a MATLAB mat-file, file size: 570 KB. Use UFget(1271) or UFget('GHS_psdef/opt1') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 375 KB.

    Matrix properties
    number of rows15,449
    number of columns15,449
    nonzeros1,930,655
    structural full rank?yes
    structural rank15,449
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorC. Damhaug
    editorN. Gould, Y. Hu, J. Scott
    date2004
    kindstructural problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD5,307,011
    Cholesky flop count3.1e+09
    nnz(L+U), no partial pivoting, with AMD10,598,573
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD7,605,229
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD18,158,849

    SVD-based statistics:
    norm(A)161.316
    min(svd(A))2.19333e-98
    cond(A)7.35484e+99
    rank(A)3,442
    sprank(A)-rank(A)12,007
    null space dimension12,007
    full numerical rank?no
    singular value gap1.95167e+10

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

    GHS_psdef/opt1 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.