• SJSU Singular Matrix Database
  • Matrix group: HB
  • Click here for a description of the HB group.
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  • Matrix: HB/dwt_869
  • Description: SYMMETRIC CONNECTION TABLE FROM DTNSRDC, WASHINGTON
  • download as a MATLAB mat-file, file size: 13 KB. Use SJget(112) or SJget('HB/dwt_869') in MATLAB.
  • download in Matrix Market format, file size: 8 KB.
  • download in Rutherford/Boeing format, file size: 7 KB.

    HB/dwt_869

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

    HB/dwt_869

    Matrix properties (click for a legend)  
    number of rows869
    number of columns869
    structural full rank?yes
    structural rank869
    numerical rank 845
    dimension of the numerical null space24
    numerical rank / min(size(A))0.97238
    Euclidean norm of A 10.175
    calculated singular value # 8450.001141
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.5437e-012
    calculated singular value # 8469.2968e-016
    gap in the singular values at the numerical rank:
    singular value # 845 / singular value # 846
    1.2273e+012
    calculated condition number3.6008e+017
    condestInf
    nonzeros7,285
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorG. Everstine, D. Taylor
    editorI. Duff, R. Grimes, J. Lewis
    date1980
    kindstructural problem
    2D/3D problem?yes
    SJid112
    UFid135

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))10,438 12,217
    Cholesky flop count1.5e+005 2.3e+005
    nnz(L+U), no partial pivoting20,007 23,565
    nnz(V) for QR, upper bound nnz(L) for LU11,473 16,045
    nnz(R) for QR, upper bound nnz(U) for LU22,236 29,637

    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.