• SJSU Singular Matrix Database
  • Matrix group: HB
  • Click here for a description of the HB group.
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  • Matrix: HB/can_715
  • Description: SYMMETRIC PATTERN FROM CANNES,LUCIEN MARRO,JUNE 1981.
  • download as a MATLAB mat-file, file size: 13 KB. Use SJget(81) or SJget('HB/can_715') in MATLAB.
  • download in Matrix Market format, file size: 8 KB.
  • download in Rutherford/Boeing format, file size: 7 KB.

    HB/can_715

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

    HB/can_715

    Matrix properties (click for a legend)  
    number of rows715
    number of columns715
    structural full rank?yes
    structural rank715
    numerical rank 702
    dimension of the numerical null space13
    numerical rank / min(size(A))0.98182
    Euclidean norm of A 15.31
    calculated singular value # 7020.002838
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.2701e-012
    calculated singular value # 7039.9226e-016
    gap in the singular values at the numerical rank:
    singular value # 702 / singular value # 703
    2.8602e+012
    calculated condition number2.3908e+018
    condestInf
    nonzeros6,665
    # 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
    SJid81
    UFid105

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))11,440 13,192
    Cholesky flop count2.6e+005 3.7e+005
    nnz(L+U), no partial pivoting22,165 25,669
    nnz(V) for QR, upper bound nnz(L) for LU24,357 24,673
    nnz(R) for QR, upper bound nnz(U) for LU49,955 46,149

    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.