• 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/cegb3306
  • Description: FINITE ELEMENT FRAMEWORK PROBLEM, ESSENTIALLY IN TWO DIMENSIONS
  • download as a MATLAB mat-file, file size: 51 KB. Use SJget(85) or SJget('HB/cegb3306') in MATLAB.
  • download in Matrix Market format, file size: 77 KB.
  • download in Rutherford/Boeing format, file size: 31 KB.

    HB/cegb3306

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

    HB/cegb3306

    dmperm of HB/cegb3306

    scc of HB/cegb3306

    Matrix properties (click for a legend)  
    number of rows3,306
    number of columns3,306
    structural full rank?no
    structural rank3,222
    numerical rank 537
    dimension of the numerical null space2,769
    numerical rank / min(size(A))0.16243
    Euclidean norm of A 36.04
    calculated singular value # 5370.02891
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    2.3491e-011
    calculated singular value # 5381.0502e-013
    gap in the singular values at the numerical rank:
    singular value # 537 / singular value # 538
    2.7528e+011
    calculated condition numberInf
    condestInf
    nonzeros74,916
    # of blocks from dmperm3
    # strongly connected comp.85
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorA. Donovan
    editorI. Duff, R. Grimes, J. Lewis
    date1980
    kindstructural problem
    2D/3D problem?yes
    SJid85
    UFid1,176

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))67,989 75,441
    Cholesky flop count2.0e+006 2.7e+006
    nnz(L+U), no partial pivoting132,672 147,576
    nnz(V) for QR, upper bound nnz(L) for LU247,881 138,369
    nnz(R) for QR, upper bound nnz(U) for LU489,657 266,565

    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.