Matrix: Bai/lop163

Description: SPARSE STOCHASTIC TEST MATRIX IN LOPSI

Bai/lop163 graph Bai/lop163 graph
(bipartite graph drawing) (graph drawing of A+A')

Bai/lop163

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  • Matrix group: Bai
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  • download as a MATLAB mat-file, file size: 2 KB. Use UFget(313) or UFget('Bai/lop163') in MATLAB.
  • download in Matrix Market format, file size: 4 KB.
  • download in Rutherford/Boeing format, file size: 3 KB.

    Matrix properties
    number of rows163
    number of columns163
    nonzeros935
    structural full rank?yes
    structural rank163
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 45%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorW. Stewart
    editorZ. Bai, D. Day, J. Demmel, J. Dongarra
    date1978
    kindstatistical/mathematical problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,572
    Cholesky flop count1.7e+04
    nnz(L+U), no partial pivoting, with AMD2,981
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,706
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD2,893

    SVD-based statistics:
    norm(A)1.13166
    min(svd(A))4.09297e-08
    cond(A)2.76488e+07
    rank(A)163
    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

    Bai/lop163 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.