Matrix: FEMLAB/poisson3Da

Description: Comsol, Inc. www.femlab.com : 3D Poisson problem

FEMLAB/poisson3Da graph
(undirected graph drawing)


FEMLAB/poisson3Da

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: FEMLAB
  • Click here for a description of the FEMLAB group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 3 MB. Use UFget(927) or UFget('FEMLAB/poisson3Da') in MATLAB.
  • download in Matrix Market format, file size: 4 MB.
  • download in Rutherford/Boeing format, file size: 4 MB.

    Matrix properties
    number of rows13,514
    number of columns13,514
    nonzeros352,762
    structural full rank?yes
    structural rank13,514
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorCOMSOL
    editorT. Davis
    date2003
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 13514-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD4,182,614
    Cholesky flop count3.1e+09
    nnz(L+U), no partial pivoting, with AMD8,351,714
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD7,628,551
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD17,496,080

    SVD-based statistics:
    norm(A)0.879769
    min(svd(A))0.000784204
    cond(A)1121.86
    rank(A)13,514
    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

    FEMLAB/poisson3Da 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.