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


  • Matrix: Bai/qh1484
  • Description: QUEBEC HYDRO POWER SYSTEM
  • download as a MATLAB mat-file, file size: 29 KB. Use SJget(210) or SJget('Bai/qh1484') in MATLAB.
  • download in Matrix Market format, file size: 28 KB.
  • download in Rutherford/Boeing format, file size: 24 KB.

    Bai/qh1484

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

    Bai/qh1484

    dmperm of Bai/qh1484

    scc of Bai/qh1484

    Matrix properties (click for a legend)  
    number of rows1,484
    number of columns1,484
    structural full rank?yes
    structural rank1,484
    numerical rank 708
    dimension of the numerical null space776
    numerical rank / min(size(A))0.47709
    Euclidean norm of A 1.2568e+016
    calculated singular value # 7083063.4
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    2968
    calculated singular value # 7092602
    gap in the singular values at the numerical rank:
    singular value # 708 / singular value # 709
    1.1773
    calculated condition number1.0479e+018
    condest5.5718e+017
    nonzeros6,110
    # of blocks from dmperm3
    # strongly connected comp.3
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetry 5%
    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
    SJid210
    UFid1,626

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))5,919 6,432 6,048
    Cholesky flop count2.6e+004 3.2e+004 2.7e+004
    nnz(L+U), no partial pivoting10,354 11,380 10,612
    nnz(V) for QR, upper bound nnz(L) for LU7,508 9,736 7,630
    nnz(R) for QR, upper bound nnz(U) for LU14,796 18,848 14,642

    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.