Matrix: Shyy/shyy41

Description: Wei Shyy, Univ. Florida. CFD/Navier-Stokes,viscous flow, fully coupled

Shyy/shyy41 graph Shyy/shyy41 graph
(bipartite graph drawing) (graph drawing of A+A')


Shyy/shyy41 dmperm of Shyy/shyy41
scc of Shyy/shyy41

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  • Matrix group: Shyy
  • Click here for a description of the Shyy group.
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  • download as a MATLAB mat-file, file size: 141 KB. Use UFget(810) or UFget('Shyy/shyy41') in MATLAB.
  • download in Matrix Market format, file size: 133 KB.
  • download in Rutherford/Boeing format, file size: 122 KB.

    Matrix properties
    number of rows4,720
    number of columns4,720
    nonzeros20,042
    structural full rank?yes
    structural rank4,720
    # of blocks from dmperm1,641
    # strongly connected comp.81
    explicit zero entries0
    nonzero pattern symmetry 72%
    numeric value symmetry 18%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorW. Shyy
    editorT. Davis
    date1994
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD82,741
    Cholesky flop count2.9e+06
    nnz(L+U), no partial pivoting, with AMD160,762
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD97,599
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD184,109

    SVD-based statistics:
    norm(A)188.7
    min(svd(A))4.93428e-20
    cond(A)3.82427e+21
    rank(A)4,712
    sprank(A)-rank(A)8
    null space dimension8
    full numerical rank?no
    singular value gap13091.6

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

    Shyy/shyy41 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.