Matrix: Langemyr/comsol

Description: FEM, structural mechanics. Lars Langemyr, COMSOL. May need pivtol>0.1

Langemyr/comsol graph Langemyr/comsol graph
(bipartite graph drawing) (graph drawing of A+A')


Langemyr/comsol

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  • Matrix group: Langemyr
  • Click here for a description of the Langemyr group.
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  • download as a MATLAB mat-file, file size: 668 KB. Use UFget(864) or UFget('Langemyr/comsol') in MATLAB.
  • download in Matrix Market format, file size: 915 KB.
  • download in Rutherford/Boeing format, file size: 839 KB.

    Matrix properties
    number of rows1,500
    number of columns1,500
    nonzeros97,645
    structural full rank?yes
    structural rank1,500
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 100%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorL. Langemyr
    editorT. Davis
    date2002
    kindstructural problem
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 1500-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD107,541
    Cholesky flop count8.5e+06
    nnz(L+U), no partial pivoting, with AMD213,582
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD117,814
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD301,962

    SVD-based statistics:
    norm(A)0.632848
    min(svd(A))4.47174e-07
    cond(A)1.41522e+06
    rank(A)1,500
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;
    status:ok

    Langemyr/comsol svd

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.