Matrix: HB/west1505

Description: U 11 STAGE COLUMN SECTION, ALL SECTIONS RIGOROUS ( CHEM. ENG. )

HB/west1505 graph HB/west1505 graph
(bipartite graph drawing) (graph drawing of A+A')


HB/west1505 dmperm of HB/west1505

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 33 KB. Use UFget(271) or UFget('HB/west1505') in MATLAB.
  • download in Matrix Market format, file size: 32 KB.
  • download in Rutherford/Boeing format, file size: 30 KB.

    Matrix properties
    number of rows1,505
    number of columns1,505
    nonzeros5,414
    structural full rank?yes
    structural rank1,505
    # of blocks from dmperm405
    # strongly connected comp.1
    explicit zero entries31
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorA. Westerberg
    editorI. Duff, R. Grimes, J. Lewis
    date1983
    kindchemical process simulation problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD93,335
    Cholesky flop count1.9e+07
    nnz(L+U), no partial pivoting, with AMD185,165
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD6,135
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD15,116

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 31 explicit zero entries.

    SVD-based statistics:
    norm(A)319128
    min(svd(A))2.0033e-07
    cond(A)1.59301e+12
    rank(A)1,505
    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/west1505 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.