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


  • Matrix: HB/dwt_1005
  • Description: SYMMETRIC CONNECTION TABLE FROM DTNSRDC, WASHINGTON
  • download as a MATLAB mat-file, file size: 16 KB. Use SJget(91) or SJget('HB/dwt_1005') in MATLAB.
  • download in Matrix Market format, file size: 10 KB.
  • download in Rutherford/Boeing format, file size: 9 KB.

    HB/dwt_1005

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

    HB/dwt_1005

    Matrix properties (click for a legend)  
    number of rows1,005
    number of columns1,005
    structural full rank?yes
    structural rank1,005
    numerical rank 995
    dimension of the numerical null space10
    numerical rank / min(size(A))0.99005
    Euclidean norm of A 16.406
    calculated singular value # 9950.0030489
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    3.5705e-012
    calculated singular value # 9963.7274e-016
    gap in the singular values at the numerical rank:
    singular value # 995 / singular value # 996
    8.1797e+012
    calculated condition number1.02e+018
    condestInf
    nonzeros8,621
    # 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
    SJid91
    UFid110

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))19,001 18,218
    Cholesky flop count6.6e+005 5.2e+005
    nnz(L+U), no partial pivoting36,997 35,431
    nnz(V) for QR, upper bound nnz(L) for LU30,980 27,641
    nnz(R) for QR, upper bound nnz(U) for LU57,016 50,489

    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.