• SJSU Singular Matrix Database
  • Matrix group: Bates
  • Click here for a description of the Bates group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups


  • Matrix: Bates/Chem97Zt
  • Description: Mixed-effects model from D. Bates, Univ. Wisc.
  • download as a MATLAB mat-file, file size: 63 KB. Use SJget(334) or SJget('Bates/Chem97Zt') in MATLAB.
  • download in Matrix Market format, file size: 130 KB.
  • download in Rutherford/Boeing format, file size: 82 KB.

    Bates/Chem97Zt

    Routine svd from Matlab 7.6.0.324 (R2008a) used to calculate the singular values.

    Bates/Chem97Zt

    dmperm of Bates/Chem97Zt

    scc of Bates/Chem97Zt

    Matrix properties (click for a legend)  
    number of rows2,541
    number of columns31,022
    structural full rank?yes
    structural rank2,541
    numerical rank 2,410
    dimension of the numerical null space28,612
    numerical rank / min(size(A))0.94845
    Euclidean norm of A 31.421
    calculated singular value # 24101
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.1021e-010
    calculated singular value # 24116.5876e-015
    gap in the singular values at the numerical rank:
    singular value # 2410 / singular value # 2411
    1.518e+014
    calculated condition number3.3612e+018
    condest-2
    nonzeros62,044
    # of blocks from dmperm163
    # strongly connected comp.131
    entries not in dmperm blocks162
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typebinary
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    authorD. Bates
    editorT. Davis
    date2006
    kindstatistical/mathematical problem
    2D/3D problem?no
    SJid334
    UFid1,400

    Ordering statistics:AMD METIS DMPERM+
    nnz(V) for QR, upper bound nnz(L) for LU73,918 59,634 73,918
    nnz(R) for QR, upper bound nnz(U) for LU4,951 4,951 4,951

    Maintained by Leslie Foster, last updated 24-Apr-2009.

    Entries 5 through 14 in the table of matrix properties and the singular
    value plot were created using SJsingular code. The other plots
    and statistics are produced using utilities from the SuiteSparse package.
    Matrix color plot pictures by cspy, a MATLAB function in the CSparse package.