Matrix: ACUSIM/Pres_Poisson

Description: ACUSIM, Inc: computational fluid dynamics problem

ACUSIM/Pres_Poisson graph
(undirected graph drawing)


ACUSIM/Pres_Poisson

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  • Matrix group: ACUSIM
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  • download as a MATLAB mat-file, file size: 4 MB. Use UFget(1184) or UFget('ACUSIM/Pres_Poisson') in MATLAB.
  • download in Matrix Market format, file size: 4 MB.
  • download in Rutherford/Boeing format, file size: 3 MB.

    Matrix properties
    number of rows14,822
    number of columns14,822
    nonzeros715,804
    structural full rank?yes
    structural rank14,822
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorF. Shakib
    editorT. Davis
    date2004
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 14822-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD2,507,325
    Cholesky flop count6.2e+08
    nnz(L+U), no partial pivoting, with AMD4,999,828
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD2,750,237
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD5,482,885

    SVD-based statistics:
    norm(A)26.0289
    min(svd(A))1.27802e-05
    cond(A)2.03665e+06
    rank(A)14,822
    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

    ACUSIM/Pres_Poisson 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.