• SJSU Singular Matrix Database
  • Matrix group: HB
  • Click here for a description of the HB group.
  • Click here for a list of all matrices
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  • Matrix: HB/dwt_992
  • Description: SYMMETRIC CONNECTION TABLE FROM DTNSRDC, WASHINGTON
  • download as a MATLAB mat-file, file size: 21 KB. Use SJget(115) or SJget('HB/dwt_992') in MATLAB.
  • download in Matrix Market format, file size: 18 KB.
  • download in Rutherford/Boeing format, file size: 12 KB.

    HB/dwt_992

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

    HB/dwt_992

    Matrix properties (click for a legend)  
    number of rows992
    number of columns992
    structural full rank?yes
    structural rank992
    numerical rank 496
    dimension of the numerical null space496
    numerical rank / min(size(A))0.5
    Euclidean norm of A 17.739
    calculated singular value # 4960.012416
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    3.5243e-012
    calculated singular value # 4979.8693e-015
    gap in the singular values at the numerical rank:
    singular value # 496 / singular value # 497
    1.2581e+012
    calculated condition number3.366e+019
    condestInf
    nonzeros16,744
    # 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
    SJid115
    UFid139

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))29,812 31,016
    Cholesky flop count1.2e+006 1.2e+006
    nnz(L+U), no partial pivoting58,632 61,040
    nnz(V) for QR, upper bound nnz(L) for LU31,984 40,972
    nnz(R) for QR, upper bound nnz(U) for LU62,392 75,900

    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.