• SJSU Singular Matrix Database
  • Matrix group: Brethour
  • Click here for a description of the Brethour group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups

  • Matrix: Brethour/coater1
  • Description: Lid-driven cavity, coating flow J. Brethour, CEMS, U. Minn
  • download as a MATLAB mat-file, file size: 79 KB. Use SJget(86) or SJget('Brethour/coater1') in MATLAB.
  • download in Matrix Market format, file size: 96 KB.
  • download in Rutherford/Boeing format, file size: 67 KB.


    Routine svd from Matlab (R2008a) used to calculate the singular values.


    dmperm of Brethour/coater1

    scc of Brethour/coater1

    Matrix properties (click for a legend)  
    number of rows1,348
    number of columns1,348
    structural full rank?no
    structural rank1,331
    numerical rank 1,330
    dimension of the numerical null space18
    numerical rank / min(size(A))0.98665
    Euclidean norm of A 66.532
    calculated singular value # 13307.0989e-011
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 13311.0891e-012
    gap in the singular values at the numerical rank:
    singular value # 1330 / singular value # 1331
    calculated condition number7.4462e+019
    # of blocks from dmperm85
    # strongly connected comp.262
    explicit zero entries0
    nonzero pattern symmetry 59%
    numeric value symmetry 40%
    Cholesky candidate?no
    positive definite?no

    authorJ. Brethour
    editorT. Davis
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))73,686 59,940
    Cholesky flop count6.7e+006 4.0e+006
    nnz(L+U), no partial pivoting146,024 118,532
    nnz(V) for QR, upper bound nnz(L) for LU103,217 106,873
    nnz(R) for QR, upper bound nnz(U) for LU263,580 292,744

    Maintained by Leslie Foster, last updated 24-Apr-2009.

    Entries 5 through 14 in the table of matrix properties and the singular
    value plot were created using SJsingular code. The other plots
    and statistics are produced using utilities from the SuiteSparse package.
    Matrix color plot pictures by cspy, a MATLAB function in the CSparse package.