• SJSU Singular Matrix Database
  • Matrix group: HB
  • Click here for a description of the HB group.
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  • Matrix: HB/can_292
  • Description: SYMMETRIC PATTERN FROM CANNES,LUCIEN MARRO,JUNE 1981.
  • download as a MATLAB mat-file, file size: 6 KB. Use SJget(77) or SJget('HB/can_292') in MATLAB.
  • download in Matrix Market format, file size: 4 KB.
  • download in Rutherford/Boeing format, file size: 3 KB.

    HB/can_292

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

    HB/can_292

    Matrix properties (click for a legend)  
    number of rows292
    number of columns292
    structural full rank?yes
    structural rank292
    numerical rank 272
    dimension of the numerical null space20
    numerical rank / min(size(A))0.93151
    Euclidean norm of A 12.164
    calculated singular value # 2720.011855
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    5.187e-013
    calculated singular value # 2733.2834e-015
    gap in the singular values at the numerical rank:
    singular value # 272 / singular value # 273
    3.6106e+012
    calculated condition number5.4913e+017
    condestInf
    nonzeros2,540
    # 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
    SJid77
    UFid100

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))2,570 2,768
    Cholesky flop count2.8e+004 3.3e+004
    nnz(L+U), no partial pivoting4,848 5,244
    nnz(V) for QR, upper bound nnz(L) for LU8,379 7,282
    nnz(R) for QR, upper bound nnz(U) for LU13,647 14,082

    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.