• 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_512
  • Description: SYMMETRIC CONNECTION TABLE FROM DTNSRDC, WASHINGTON
  • download as a MATLAB mat-file, file size: 8 KB. Use SJget(107) or SJget('HB/dwt_512') in MATLAB.
  • download in Matrix Market format, file size: 5 KB.
  • download in Rutherford/Boeing format, file size: 4 KB.

    HB/dwt_512

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

    HB/dwt_512

    dmperm of HB/dwt_512

    Matrix properties (click for a legend)  
    number of rows512
    number of columns512
    structural full rank?yes
    structural rank512
    numerical rank 477
    dimension of the numerical null space35
    numerical rank / min(size(A))0.93164
    Euclidean norm of A 11.384
    calculated singular value # 4770.0062814
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    9.0949e-013
    calculated singular value # 4789.0407e-016
    gap in the singular values at the numerical rank:
    singular value # 477 / singular value # 478
    6.9479e+012
    calculated condition numberInf
    condestInf
    nonzeros3,502
    # of blocks from dmperm32
    # strongly connected comp.32
    entries not in dmperm blocks63
    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
    SJid107
    UFid128

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))3,759 4,018 3,650
    Cholesky flop count4.7e+004 5.7e+004 4.2e+004
    nnz(L+U), no partial pivoting7,006 7,524 6,851
    nnz(V) for QR, upper bound nnz(L) for LU4,696 4,632 4,288
    nnz(R) for QR, upper bound nnz(U) for LU8,133 8,164 7,517

    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.