• SJSU Singular Matrix Database
  • Matrix group: HB
  • Click here for a description of the HB group.
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  • Matrix: HB/mbeaflw
  • Description: U NONSYMMETRIC MATRIX U.S. ECONOMY 1972 -SZYLD-I.E.A.-NYU-
  • download as a MATLAB mat-file, file size: 250 KB. Use SJget(150) or SJget('HB/mbeaflw') in MATLAB.
  • download in Matrix Market format, file size: 252 KB.
  • download in Rutherford/Boeing format, file size: 194 KB.

    HB/mbeaflw

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

    HB/mbeaflw

    dmperm of HB/mbeaflw

    scc of HB/mbeaflw

    Matrix properties (click for a legend)  
    number of rows496
    number of columns496
    structural full rank?no
    structural rank448
    numerical rank 448
    dimension of the numerical null space48
    numerical rank / min(size(A))0.90323
    Euclidean norm of A 19762
    calculated singular value # 4480.00021647
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.8044e-009
    calculated singular value # 4491.3005e-012
    gap in the singular values at the numerical rank:
    singular value # 448 / singular value # 449
    1.6645e+008
    calculated condition numberInf
    condestInf
    nonzeros49,920
    # of blocks from dmperm10
    # strongly connected comp.54
    explicit zero entries0
    nonzero pattern symmetry 32%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorD. Szyld
    editorI. Duff, R. Grimes, J. Lewis
    date1982
    kindeconomic problem
    2D/3D problem?no
    SJid150
    UFid210

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))75,909 74,825
    Cholesky flop count1.5e+007 1.5e+007
    nnz(L+U), no partial pivoting151,322 149,154
    nnz(V) for QR, upper bound nnz(L) for LU80,980 71,442
    nnz(R) for QR, upper bound nnz(U) for LU117,866 117,864

    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.