Matrix: Simon/raefsky3

Description: FLUID STRUCTURE INTERACTION TURBULENCE PROBLEM BY A. RAEFSKY, CENTRIC

Simon/raefsky3 graph
(undirected graph drawing)


Simon/raefsky3

  • 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: 7 MB. Use UFget(816) or UFget('Simon/raefsky3') in MATLAB.
  • download in Matrix Market format, file size: 11 MB.
  • download in Rutherford/Boeing format, file size: 9 MB.

    Matrix properties
    number of rows21,200
    number of columns21,200
    nonzeros1,488,768
    structural full rank?yes
    structural rank21,200
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetry 48%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

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

    Additional fieldssize and type
    bfull 21200-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD4,177,384
    Cholesky flop count1.4e+09
    nnz(L+U), no partial pivoting, with AMD8,333,568
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD8,621,160
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD17,243,112

    SVD-based statistics:
    norm(A)7.98806
    min(svd(A))4.03303e-11
    cond(A)1.98066e+11
    rank(A)21,200
    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

    Simon/raefsky3 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.