• SJSU Singular Matrix Database
  • Matrix group: HB
  • Click here for a description of the HB group.
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  • Matrix: HB/mbeause
  • Description: U NONSYMMETRIC MATRIX U.S. ECONOMY 1972 -SZYLD-I.E.A.-NYU-
  • download as a MATLAB mat-file, file size: 118 KB. Use SJget(151) or SJget('HB/mbeause') in MATLAB.
  • download in Matrix Market format, file size: 167 KB.
  • download in Rutherford/Boeing format, file size: 107 KB.

    HB/mbeause

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

    HB/mbeause

    dmperm of HB/mbeause

    scc of HB/mbeause

    Matrix properties (click for a legend)  
    number of rows496
    number of columns496
    structural full rank?no
    structural rank447
    numerical rank 447
    dimension of the numerical null space49
    numerical rank / min(size(A))0.90121
    Euclidean norm of A 21755
    calculated singular value # 4470.0069357
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.8044e-009
    calculated singular value # 4482.9719e-012
    gap in the singular values at the numerical rank:
    singular value # 447 / singular value # 448
    2.3337e+009
    calculated condition numberInf
    condestInf
    nonzeros41,063
    # of blocks from dmperm28
    # strongly connected comp.66
    explicit zero entries0
    nonzero pattern symmetry 22%
    numeric value symmetry 1%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorD. Szyld
    editorI. Duff, R. Grimes, J. Lewis
    date1982
    kindeconomic problem
    2D/3D problem?no
    SJid151
    UFid211

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))68,611 68,273
    Cholesky flop count1.3e+007 1.3e+007
    nnz(L+U), no partial pivoting136,726 136,050
    nnz(V) for QR, upper bound nnz(L) for LU73,576 61,689
    nnz(R) for QR, upper bound nnz(U) for LU120,301 120,301

    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.