• SJSU Singular Matrix Database
  • Matrix group: MathWorks
  • Click here for a description of the MathWorks group.
  • Click here for a list of all matrices
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  • Matrix: MathWorks/Harvard500
  • Description: Web matrix (Numerical Computing with MATLAB, Moler, 2004)
  • download as a MATLAB mat-file, file size: 18 KB. Use SJget(35) or SJget('MathWorks/Harvard500') in MATLAB.
  • download in Matrix Market format, file size: 12 KB.
  • download in Rutherford/Boeing format, file size: 9 KB.


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


    scc of MathWorks/Harvard500

    Matrix properties (click for a legend)  
    number of rows500
    number of columns500
    structural full rank?no
    structural rank233
    numerical rank 170
    dimension of the numerical null space330
    numerical rank / min(size(A))0.34
    Euclidean norm of A 18.148
    calculated singular value # 1700.13948
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 1711.6133e-014
    gap in the singular values at the numerical rank:
    singular value # 170 / singular value # 171
    calculated condition number8.4375e+207
    # of blocks from dmperm51
    # strongly connected comp.147
    explicit zero entries0
    nonzero pattern symmetry 41%
    numeric value symmetry 41%
    Cholesky candidate?no
    positive definite?no

    authorC. Moler
    editorT. Davis
    kinddirected graph
    2D/3D problem?no

    Additional fieldssize and type
    nodenamefull 500-by-93

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))3,247 3,470
    Cholesky flop count3.2e+004 3.8e+004
    nnz(L+U), no partial pivoting5,994 6,440
    nnz(V) for QR, upper bound nnz(L) for LU33,077 7,382
    nnz(R) for QR, upper bound nnz(U) for LU23,904 24,334

    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.