Matrix: Bai/rw136

Description: MARKOV CHAIN MODELING, RANDOM WALK (M = 15) G. W. STEWART

Bai/rw136 graph Bai/rw136 graph
(bipartite graph drawing) (graph drawing of A+A')

Bai/rw136 dmperm of Bai/rw136

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  • Matrix group: Bai
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  • download as a MATLAB mat-file, file size: 2 KB. Use UFget(334) or UFget('Bai/rw136') in MATLAB.
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    Matrix properties
    number of rows136
    number of columns136
    nonzeros479
    structural full rank?yes
    structural rank136
    # of blocks from dmperm6
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 44%
    numeric value symmetry 3%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorG. 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 AMD1,302
    Cholesky flop count1.5e+04
    nnz(L+U), no partial pivoting, with AMD2,468
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,114
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD2,010

    SVD-based statistics:
    norm(A)1.14085
    min(svd(A))4.52338e-06
    cond(A)252212
    rank(A)136
    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/rw136 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.