Matrix: Simon/raefsky1

Description: INCOMPRESSIBLE FLOW IN PRESSURE DRIVEN PIPE, T=05, A. RAEFSKY, CENTRIC

Simon/raefsky1 graph
(undirected graph drawing)


Simon/raefsky1

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: Simon
  • Click here for a description of the Simon 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: 2 MB. Use UFget(814) or UFget('Simon/raefsky1') in MATLAB.
  • download in Matrix Market format, file size: 3 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.

    Matrix properties
    number of rows3,242
    number of columns3,242
    nonzeros293,409
    structural full rank?yes
    structural rank3,242
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries867
    nonzero pattern symmetrysymmetric
    numeric value symmetry 9%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorA. Raefsky
    editorH. Simon
    date1993
    kindcomputational fluid dynamics problem sequence
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 3242-by-1

    Notes:

    next: Simon/raefsky2 first: Simon/raefsky1
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,135,437
    Cholesky flop count5.6e+08
    nnz(L+U), no partial pivoting, with AMD2,267,632
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,847,445
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD3,422,969

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 867 explicit zero entries.

    SVD-based statistics:
    norm(A)3.70951
    min(svd(A))0.000287892
    cond(A)12885.1
    rank(A)3,242
    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

    Simon/raefsky1 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.