Matrix: FEMLAB/ns3Da

Description: Comsol, Inc. www.femlab.com : 3D Navier Stokes

FEMLAB/ns3Da graph FEMLAB/ns3Da graph
(bipartite graph drawing) (graph drawing of A+A')


FEMLAB/ns3Da

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  • Matrix group: FEMLAB
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  • download as a MATLAB mat-file, file size: 16 MB. Use UFget(925) or UFget('FEMLAB/ns3Da') in MATLAB.
  • download in Matrix Market format, file size: 21 MB.
  • download in Rutherford/Boeing format, file size: 20 MB.

    Matrix properties
    number of rows20,414
    number of columns20,414
    nonzeros1,679,599
    structural full rank?yes
    structural rank20,414
    # 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

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

    Additional fieldssize and type
    bfull 20414-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD8,910,507
    Cholesky flop count7.4e+09
    nnz(L+U), no partial pivoting, with AMD17,800,600
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD15,387,648
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD34,803,686

    SVD-based statistics:
    norm(A)0.633759
    min(svd(A))0.000896202
    cond(A)707.161
    rank(A)20,414
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero
    status:ok

    FEMLAB/ns3Da 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.