Matrix: Goodwin/goodwin

Description: FEM, fluid mechanics problem. From Ralph Goodwin, Univ. Illinois

Goodwin/goodwin graph Goodwin/goodwin graph
(bipartite graph drawing) (graph drawing of A+A')

Goodwin/goodwin dmperm of Goodwin/goodwin
scc of Goodwin/goodwin

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: Goodwin
  • Click here for a description of the Goodwin 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(446) or UFget('Goodwin/goodwin') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 1 MB.

    Matrix properties
    number of rows7,320
    number of columns7,320
    structural full rank?yes
    structural rank7,320
    # of blocks from dmperm2
    # strongly connected comp.2
    explicit zero entries12
    nonzero pattern symmetry 64%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorR. Goodwin
    editorT. Davis
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD597,520
    Cholesky flop count7.7e+07
    nnz(L+U), no partial pivoting, with AMD1,187,720
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,416,264
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD4,678,957

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 12 explicit zero entries.

    SVD-based statistics:
    null space dimension0
    full numerical rank?yes

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

    Goodwin/goodwin 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.