• SJSU Singular Matrix Database
  • Matrix group: HB
  • Click here for a description of the HB group.
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  • Matrix: HB/can_1072
  • Description: SYMMETRIC PATTERN FROM CANNES,LUCIEN MARRO,JUNE 1981.
  • download as a MATLAB mat-file, file size: 24 KB. Use SJget(71) or SJget('HB/can_1072') in MATLAB.
  • download in Matrix Market format, file size: 16 KB.
  • download in Rutherford/Boeing format, file size: 12 KB.

    HB/can_1072

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

    HB/can_1072

    Matrix properties (click for a legend)  
    number of rows1,072
    number of columns1,072
    structural full rank?yes
    structural rank1,072
    numerical rank 1,050
    dimension of the numerical null space22
    numerical rank / min(size(A))0.97948
    Euclidean norm of A 14.884
    calculated singular value # 10500.0013805
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.9043e-012
    calculated singular value # 10519.4701e-016
    gap in the singular values at the numerical rank:
    singular value # 1050 / singular value # 1051
    1.4578e+012
    calculated condition number1.467e+050
    condestInf
    nonzeros12,444
    # 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

    authorL. Marro
    editorI. Duff, R. Grimes, J. Lewis
    date1981
    kindstructural problem
    2D/3D problem?yes
    SJid71
    UFid92

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))20,548 23,413
    Cholesky flop count6.3e+005 8.0e+005
    nnz(L+U), no partial pivoting40,024 45,754
    nnz(V) for QR, upper bound nnz(L) for LU44,135 49,340
    nnz(R) for QR, upper bound nnz(U) for LU112,001 125,835

    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.