Matrix: HB/illc1033

Description: UNSYMMETRIC LEAST-SQUARES PROBLEM. SAUNDERS 1979.

HB/illc1033 graph
(bipartite graph drawing)


HB/illc1033 dmperm of HB/illc1033

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 32 KB. Use UFget(169) or UFget('HB/illc1033') in MATLAB.
  • download in Matrix Market format, file size: 32 KB.
  • download in Rutherford/Boeing format, file size: 28 KB.

    Matrix properties
    number of rows1,033
    number of columns320
    nonzeros4,719
    structural full rank?yes
    structural rank320
    # of blocks from dmperm15
    # strongly connected comp.1
    explicit zero entries13
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    authorM. Saunders
    editorI. Duff, R. Grimes, J. Lewis
    date1979
    kindleast squares problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 1033-by-1

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD30,791
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD2,988

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 13 explicit zero entries.

    SVD-based statistics:
    norm(A)2.14435
    min(svd(A))0.000113529
    cond(A)18888.1
    rank(A)320
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;
    status:ok

    HB/illc1033 svd

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.