• 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/man_5976
  • Description: MANTEUFFEL'S FINITE ELEMENT PROBLEM (CONDENSED)
  • download as a MATLAB mat-file, file size: 130 KB. Use SJget(392) or SJget('HB/man_5976') in MATLAB.
  • download in Matrix Market format, file size: 209 KB.
  • download in Rutherford/Boeing format, file size: 76 KB.

    HB/man_5976

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

    HB/man_5976

    dmperm of HB/man_5976

    scc of HB/man_5976

    Matrix properties (click for a legend)  
    number of rows5,976
    number of columns5,976
    structural full rank?no
    structural rank5,882
    numerical rank 2,341
    dimension of the numerical null space3,635
    numerical rank / min(size(A))0.39173
    Euclidean norm of A 41.495
    calculated singular value # 23410.012015
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    4.2462e-011
    calculated singular value # 23429.4108e-014
    gap in the singular values at the numerical rank:
    singular value # 2341 / singular value # 2342
    1.2768e+011
    calculated condition number6.1704e+285
    condestInf
    nonzeros225,046
    # of blocks from dmperm3
    # strongly connected comp.95
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorT. Manteuffel
    editorI. Duff, R. Grimes, J. Lewis
    date1980
    kindstructural problem
    2D/3D problem?yes
    SJid392
    UFid1,182

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))498,318 489,197
    Cholesky flop count6.8e+007 5.5e+007
    nnz(L+U), no partial pivoting990,660 972,418
    nnz(V) for QR, upper bound nnz(L) for LU998,380 753,966
    nnz(R) for QR, upper bound nnz(U) for LU2,371,267 1,645,173

    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.