Matrix: GHS_psdef/ramage02

Description: FINITE ELEMENT PROBLEM. NAVIER-STOKES AND CONTINUITY EQUATIONS.

GHS_psdef/ramage02 graph
(undirected graph drawing)


GHS_psdef/ramage02

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  • Matrix group: GHS_psdef
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(1274) or UFget('GHS_psdef/ramage02') in MATLAB.
  • download in Matrix Market format, file size: 3 MB.
  • download in Rutherford/Boeing format, file size: 639 KB.

    Matrix properties
    number of rows16,830
    number of columns16,830
    nonzeros2,866,352
    structural full rank?yes
    structural rank16,830
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorA. Ramage
    editorN. Gould, Y. Hu, J. Scott
    date2004
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD17,785,665
    Cholesky flop count2.9e+10
    nnz(L+U), no partial pivoting, with AMD35,554,500
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD21,310,586
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD47,317,399

    SVD-based statistics:
    norm(A)199.574
    min(svd(A))7.3767e-111
    cond(A)2.70546e+112
    rank(A)4,562
    sprank(A)-rank(A)12,268
    null space dimension12,268
    full numerical rank?no
    singular value gap4.88564e+10

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

    GHS_psdef/ramage02 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.