Matrix: GHS_indef/brainpc2

Description: Gould, Hu, & Scott: biological model (CUTEr)

GHS_indef/brainpc2 graph
(undirected graph drawing)

GHS_indef/brainpc2 dmperm of GHS_indef/brainpc2
scc of GHS_indef/brainpc2

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  • Matrix group: GHS_indef
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  • download as a MATLAB mat-file, file size: 281 KB. Use UFget(1298) or UFget('GHS_indef/brainpc2') in MATLAB.
  • download in Matrix Market format, file size: 288 KB.
  • download in Rutherford/Boeing format, file size: 260 KB.

    Matrix properties
    number of rows27,607
    number of columns27,607
    structural full rank?yes
    structural rank27,607
    # of blocks from dmperm2
    # strongly connected comp.2
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?no
    positive definite?no

    authorN. Duatrebande
    editorP. Toint
    kindoptimization problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD200,100
    Cholesky flop count1.5e+06
    nnz(L+U), no partial pivoting, with AMD372,593
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD200,110
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD190,564,235

    SVD-based statistics:
    null space dimension0
    full numerical rank?yes

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

    GHS_indef/brainpc2 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.