• 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_2680
  • Description: SYMMETRIC CONNECTION TABLE FROM DTNSRDC, WASHINGTON
  • download as a MATLAB mat-file, file size: 46 KB. Use SJget(100) or SJget('HB/dwt_2680') in MATLAB.
  • download in Matrix Market format, file size: 29 KB.
  • download in Rutherford/Boeing format, file size: 25 KB.

    HB/dwt_2680

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

    HB/dwt_2680

    Matrix properties (click for a legend)  
    number of rows2,680
    number of columns2,680
    structural full rank?yes
    structural rank2,680
    numerical rank 2,640
    dimension of the numerical null space40
    numerical rank / min(size(A))0.98507
    Euclidean norm of A 11.509
    calculated singular value # 26400.00069425
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    4.7606e-012
    calculated singular value # 26413.5636e-015
    gap in the singular values at the numerical rank:
    singular value # 2640 / singular value # 2641
    1.9482e+011
    calculated condition number4.5995e+018
    condestInf
    nonzeros25,026
    # 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
    SJid100
    UFid120

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))52,498 65,719
    Cholesky flop count1.5e+006 2.6e+006
    nnz(L+U), no partial pivoting102,316 128,758
    nnz(V) for QR, upper bound nnz(L) for LU90,586 109,228
    nnz(R) for QR, upper bound nnz(U) for LU173,235 206,116

    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.