• 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/coater2
  • Description: Tail end of a converging slot coater. J. Brethour, CEMS, U. Minn
  • download as a MATLAB mat-file, file size: 2 MB. Use SJget(416) or SJget('Brethour/coater2') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.

    Brethour/coater2

    Routine svd from Matlab 7.6.0.324 (R2008a) used to calculate the singular values.

    Brethour/coater2

    dmperm of Brethour/coater2

    scc of Brethour/coater2

    Matrix properties (click for a legend)  
    number of rows9,540
    number of columns9,540
    structural full rank?no
    structural rank9,434
    numerical rank 9,426
    dimension of the numerical null space114
    numerical rank / min(size(A))0.98805
    Euclidean norm of A 1216.5
    calculated singular value # 94263.3931e-009
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    2.1691e-009
    calculated singular value # 94271.4682e-009
    gap in the singular values at the numerical rank:
    singular value # 9426 / singular value # 9427
    2.3111
    calculated condition number9.1139e+038
    condestInf
    nonzeros207,308
    # of blocks from dmperm207
    # strongly connected comp.382
    explicit zero entries0
    nonzero pattern symmetry 59%
    numeric value symmetry 13%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorJ. Brethour
    editorT. Davis
    date1997
    kindcomputational fluid dynamics problem
    2D/3D problem?yes
    SJid416
    UFid376

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))689,125 706,560
    Cholesky flop count8.2e+007 8.3e+007
    nnz(L+U), no partial pivoting1,368,710 1,403,580
    nnz(V) for QR, upper bound nnz(L) for LU1,286,324 1,274,417
    nnz(R) for QR, upper bound nnz(U) for LU3,780,057 3,846,662

    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.