• 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/rgg010
  • Description: S EXAMPLE TO DEMONSTRATE THE CHIMNEY EFFECT IN P4 - BY R.G. GRIMES
  • download as a MATLAB mat-file, file size: 745 bytes. Use SJget(215) or SJget('HB/rgg010') in MATLAB.
  • download in Matrix Market format, file size: 619 bytes.
  • download in Rutherford/Boeing format, file size: 566 bytes.

    HB/rgg010

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

    HB/rgg010

    Matrix properties (click for a legend)  
    number of rows10
    number of columns10
    structural full rank?yes
    structural rank10
    numerical rank 4
    dimension of the numerical null space6
    numerical rank / min(size(A))0.4
    Euclidean norm of A 8.1971
    calculated singular value # 41.0489
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.7764e-014
    calculated singular value # 51.6905e-016
    gap in the singular values at the numerical rank:
    singular value # 4 / singular value # 5
    6.2043e+015
    calculated condition numberInf
    condestInf
    nonzeros76
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetry 64%
    numeric value symmetry 64%
    typebinary
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorJ. Lewis
    editorI. Duff, R. Grimes, J. Lewis
    date1983
    kindcounter-example problem
    2D/3D problem?no
    SJid215
    UFid238

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))55 55
    Cholesky flop count3.9e+002 3.9e+002
    nnz(L+U), no partial pivoting100 100
    nnz(V) for QR, upper bound nnz(L) for LU55 55
    nnz(R) for QR, upper bound nnz(U) for LU55 55

    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.