Matrix: Grund/d_ss

Description: Unsymmetric Matrix d_ss, F. Grund, Dec 1994.

Grund/d_ss graph Grund/d_ss graph
(bipartite graph drawing) (graph drawing of A+A')


Grund/d_ss

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  • Matrix group: Grund
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  • download as a MATLAB mat-file, file size: 1 KB. Use UFget(464) or UFget('Grund/d_ss') in MATLAB.
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  • download in Rutherford/Boeing format, file size: 1 KB.

    Matrix properties
    number of rows53
    number of columns53
    nonzeros144
    structural full rank?yes
    structural rank53
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries5
    nonzero pattern symmetry 4%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorF. Grund
    editorF. Grund
    date1997
    kindchemical process simulation problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 53-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD474
    Cholesky flop count5.5e+03
    nnz(L+U), no partial pivoting, with AMD895
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD139
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD255

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 5 explicit zero entries.

    SVD-based statistics:
    norm(A)35698.9
    min(svd(A))5.80955e-05
    cond(A)6.14486e+08
    rank(A)53
    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

    Grund/d_ss 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.