• 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_72
  • Description: SYMMETRIC CONNECTION TABLE FROM DTNSRDC, WASHINGTON
  • download as a MATLAB mat-file, file size: 2 KB. Use SJget(110) or SJget('HB/dwt_72') in MATLAB.
  • download in Matrix Market format, file size: 795 bytes.
  • download in Rutherford/Boeing format, file size: 851 bytes.

    HB/dwt_72

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

    HB/dwt_72

    Matrix properties (click for a legend)  
    number of rows72
    number of columns72
    structural full rank?yes
    structural rank72
    numerical rank 70
    dimension of the numerical null space2
    numerical rank / min(size(A))0.97222
    Euclidean norm of A 3.4923
    calculated singular value # 700.028919
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    3.1974e-014
    calculated singular value # 716.3076e-016
    gap in the singular values at the numerical rank:
    singular value # 70 / singular value # 71
    4.5848e+013
    calculated condition number3.6393e+016
    condestInf
    nonzeros222
    # 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
    SJid110
    UFid133

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))184 198
    Cholesky flop count4.9e+002 5.7e+002
    nnz(L+U), no partial pivoting296 324
    nnz(V) for QR, upper bound nnz(L) for LU192 218
    nnz(R) for QR, upper bound nnz(U) for LU321 361

    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.