Matrix: GHS_indef/bloweya

Description: Gould, Hu, & Scott: Cahn-Hilliard problem (CUTEr)

GHS_indef/bloweya graph
(undirected graph drawing)


GHS_indef/bloweya

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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: 218 KB. Use UFget(1295) or UFget('GHS_indef/bloweya') in MATLAB.
  • download in Matrix Market format, file size: 252 KB.
  • download in Rutherford/Boeing format, file size: 156 KB.

    Matrix properties
    number of rows30,004
    number of columns30,004
    nonzeros150,009
    structural full rank?yes
    structural rank30,004
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorJ. Blowey
    editorN. Gould
    date1992
    kindmaterials problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD110,009
    Cholesky flop count4.1e+05
    nnz(L+U), no partial pivoting, with AMD190,014
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD110,008
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD150,155,011

    SVD-based statistics:
    norm(A)100.098
    min(svd(A))9.02584e-20
    cond(A)1.10901e+21
    rank(A)20,050
    sprank(A)-rank(A)9,954
    null space dimension9,954
    full numerical rank?no
    singular value gap1.08926

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

    GHS_indef/bloweya 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.