Matrix: Bates/Chem97ZtZ

Description: Mixed-effects model from D. Bates, Univ. Wisc.

Bates/Chem97ZtZ graph
(undirected graph drawing)

Bates/Chem97ZtZ dmperm of Bates/Chem97ZtZ

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  • Matrix group: Bates
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  • download as a MATLAB mat-file, file size: 21 KB. Use UFget(1401) or UFget('Bates/Chem97ZtZ') in MATLAB.
  • download in Matrix Market format, file size: 23 KB.
  • download in Rutherford/Boeing format, file size: 20 KB.

    Matrix properties
    number of rows2,541
    number of columns2,541
    structural full rank?yes
    structural rank2,541
    # of blocks from dmperm131
    # strongly connected comp.131
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorD. Bates
    editorT. Davis
    kindstatistical/mathematical problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD4,951
    Cholesky flop count9.8e+03
    nnz(L+U), no partial pivoting, with AMD7,361
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD44,674
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD46,953

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

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

    Bates/Chem97ZtZ 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.