• SJSU Singular Matrix Database
  • Matrix group: Simon
  • Click here for a description of the Simon group.
  • Click here for a list of all matrices
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  • Matrix: Simon/raefsky6
  • Description: SLOSH TANK MODEL ARTHUR RAEFSKY, CENTRIC ENG.
  • download as a MATLAB mat-file, file size: 681 KB. Use SJget(213) or SJget('Simon/raefsky6') in MATLAB.
  • download in Matrix Market format, file size: 1002 KB.
  • download in Rutherford/Boeing format, file size: 775 KB.

    Simon/raefsky6

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

    Simon/raefsky6

    dmperm of Simon/raefsky6

    Matrix properties (click for a legend)  
    number of rows3,402
    number of columns3,402
    structural full rank?yes
    structural rank3,402
    numerical rank 2,586
    dimension of the numerical null space816
    numerical rank / min(size(A))0.76014
    Euclidean norm of A 3.9775e+014
    calculated singular value # 2586244.42
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    212.63
    calculated singular value # 25870.38842
    gap in the singular values at the numerical rank:
    singular value # 2586 / singular value # 2587
    629.25
    calculated condition number1.4132e+016
    condest2.6663e+016
    nonzeros130,371
    # of blocks from dmperm3,402
    # strongly connected comp.3,402
    entries not in dmperm blocks126,969
    explicit zero entries7,474
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorA. Raefsky
    editorH. Simon
    date1993
    kindstructural problem
    2D/3D problem?yes
    SJid213
    UFid819

    Additional fieldssize and type
    bfull 3402-by-1

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))665,212 598,547 3,402
    Cholesky flop count1.8e+008 1.3e+008 3.4e+003
    nnz(L+U), no partial pivoting1,327,022 1,193,692 130,371
    nnz(V) for QR, upper bound nnz(L) for LU406,211 395,728 3,402
    nnz(R) for QR, upper bound nnz(U) for LU1,030,839 1,096,201 130,371

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 7474 explicit zero entries.

    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.