• SJSU Singular Matrix Database
  • Matrix group: HB
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  • Matrix: HB/can_634
  • Description: SYMMETRIC PATTERN FROM CANNES,LUCIEN MARRO,JUNE 1981.
  • download as a MATLAB mat-file, file size: 13 KB. Use SJget(80) or SJget('HB/can_634') in MATLAB.
  • download in Matrix Market format, file size: 9 KB.
  • download in Rutherford/Boeing format, file size: 7 KB.

    HB/can_634

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

    HB/can_634

    Matrix properties (click for a legend)  
    number of rows634
    number of columns634
    structural full rank?yes
    structural rank634
    numerical rank 586
    dimension of the numerical null space48
    numerical rank / min(size(A))0.92429
    Euclidean norm of A 13.862
    calculated singular value # 5860.00042013
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.1262e-012
    calculated singular value # 5872.0281e-015
    gap in the singular values at the numerical rank:
    singular value # 586 / singular value # 587
    2.0715e+011
    calculated condition number3.3095e+018
    condestInf
    nonzeros7,228
    # 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
    SJid80
    UFid104

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))15,793 16,989
    Cholesky flop count6.7e+005 7.2e+005
    nnz(L+U), no partial pivoting30,952 33,344
    nnz(V) for QR, upper bound nnz(L) for LU28,006 28,531
    nnz(R) for QR, upper bound nnz(U) for LU53,529 52,638

    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.