• SJSU Singular Matrix Database
  • Matrix group: Bai
  • Click here for a description of the Bai group.
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  • Matrix: Bai/qh882
  • Description: QUEBEC HYDRO POWER SYSTEM, DEO
  • download as a MATLAB mat-file, file size: 18 KB. Use SJget(212) or SJget('Bai/qh882') in MATLAB.
  • download in Matrix Market format, file size: 16 KB.
  • download in Rutherford/Boeing format, file size: 15 KB.

    Bai/qh882

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

    Bai/qh882

    dmperm of Bai/qh882

    Matrix properties (click for a legend)  
    number of rows882
    number of columns882
    structural full rank?yes
    structural rank882
    numerical rank 821
    dimension of the numerical null space61
    numerical rank / min(size(A))0.93084
    Euclidean norm of A 6.6864e+012
    calculated singular value # 8210.87715
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    0.86133
    calculated singular value # 8220.86118
    gap in the singular values at the numerical rank:
    singular value # 821 / singular value # 822
    1.0185
    calculated condition number2.4598e+016
    condest7.9838e+016
    nonzeros3,354
    # of blocks from dmperm43
    # strongly connected comp.1
    entries not in dmperm blocks78
    explicit zero entries0
    nonzero pattern symmetry 93%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorD. Ndereyimana
    editorZ. Bai, D. Day, J. Demmel, J. Dongarra
    date1994
    kindpower network problem
    2D/3D problem?no
    SJid212
    UFid328

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))3,264 3,801 3,959
    Cholesky flop count1.3e+004 2.0e+004 2.4e+004
    nnz(L+U), no partial pivoting5,646 6,720 7,114
    nnz(V) for QR, upper bound nnz(L) for LU3,720 4,407 3,788
    nnz(R) for QR, upper bound nnz(U) for LU7,546 8,993 7,401

    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.