• SJSU Singular Matrix Database
  • Matrix group: TKK
  • Click here for a description of the TKK group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups


  • Matrix: TKK/g3rmt3m3
  • Description: Cylindrical shell, R/t=1e3, 3noded MITC elements, gamma=G. R Kouhia
  • download as a MATLAB mat-file, file size: 100 KB. Use SJget(539) or SJget('TKK/g3rmt3m3') in MATLAB.
  • download in Matrix Market format, file size: 193 KB.
  • download in Rutherford/Boeing format, file size: 70 KB.

    TKK/g3rmt3m3

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

    TKK/g3rmt3m3

    Matrix properties (click for a legend)  
    number of rows5,357
    number of columns5,357
    structural full rank?yes
    structural rank5,357
    numerical rank 938
    dimension of the numerical null space4,419
    numerical rank / min(size(A))0.1751
    Euclidean norm of A 41.748
    calculated singular value # 9380.02501
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    3.8064e-011
    calculated singular value # 9391.6691e-013
    gap in the singular values at the numerical rank:
    singular value # 938 / singular value # 939
    1.4984e+011
    calculated condition numberInf
    condestInf
    nonzeros207,695
    # 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?unknown

    authorR. Kouhia
    editorT. Davis
    date2008
    kindstructural problem
    2D/3D problem?yes
    SJid539
    UFid1,907

    Additional fieldssize and type
    bfull 5357-by-1

    Notes:

    Matrix problems from Reijo Kouhia, Structural Mechanics, Helsinki  
    University of Technology.   http://users.tkk.fi/~kouhia/sparse.html
    

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))429,359 480,476
    Cholesky flop count5.2e+007 6.8e+007
    nnz(L+U), no partial pivoting853,361 955,595
    nnz(V) for QR, upper bound nnz(L) for LU564,329 649,829
    nnz(R) for QR, upper bound nnz(U) for LU1,110,644 1,214,108

    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.