Matrix: FEMLAB/poisson2D

Description: Comsol, Inc. www.femlab.com : 2D Poisson problem

FEMLAB/poisson2D graph
(undirected graph drawing)


FEMLAB/poisson2D

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  • Matrix group: FEMLAB
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  • download as a MATLAB mat-file, file size: 24 KB. Use UFget(926) or UFget('FEMLAB/poisson2D') in MATLAB.
  • download in Matrix Market format, file size: 32 KB.
  • download in Rutherford/Boeing format, file size: 31 KB.

    Matrix properties
    number of rows367
    number of columns367
    nonzeros2,417
    structural full rank?yes
    structural rank367
    # 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 367-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD3,609
    Cholesky flop count4.6e+04
    nnz(L+U), no partial pivoting, with AMD6,851
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD5,492
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD10,012

    SVD-based statistics:
    norm(A)0.888048
    min(svd(A))0.00668922
    cond(A)132.758
    rank(A)367
    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/poisson2D 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.