• 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_607
  • Description: SYMMETRIC CONNECTION TABLE FROM DTNSRDC, WASHINGTON
  • download as a MATLAB mat-file, file size: 10 KB. Use SJget(109) or SJget('HB/dwt_607') in MATLAB.
  • download in Matrix Market format, file size: 7 KB.
  • download in Rutherford/Boeing format, file size: 5 KB.

    HB/dwt_607

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

    HB/dwt_607

    dmperm of HB/dwt_607

    Matrix properties (click for a legend)  
    number of rows607
    number of columns607
    structural full rank?yes
    structural rank607
    numerical rank 547
    dimension of the numerical null space60
    numerical rank / min(size(A))0.90115
    Euclidean norm of A 10.056
    calculated singular value # 5470.0054977
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.0782e-012
    calculated singular value # 5482.0547e-015
    gap in the singular values at the numerical rank:
    singular value # 547 / singular value # 548
    2.6757e+012
    calculated condition number1.2835e+018
    condestInf
    nonzeros5,131
    # of blocks from dmperm4
    # strongly connected comp.4
    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
    SJid109
    UFid131

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))9,558 9,059 8,759
    Cholesky flop count2.7e+005 2.2e+005 2.0e+005
    nnz(L+U), no partial pivoting18,509 17,511 16,911
    nnz(V) for QR, upper bound nnz(L) for LU14,481 14,099 15,352
    nnz(R) for QR, upper bound nnz(U) for LU26,697 25,243 25,358

    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.