Matrix: PARSEC/benzene

Description: Real-space pseudopotential method. Zhou, Saad, Tiago, Chelikowsky, Univ MN

PARSEC/benzene graph
(undirected graph drawing)


PARSEC/benzene

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  • Matrix group: PARSEC
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  • download as a MATLAB mat-file, file size: 441 KB. Use UFget(1348) or UFget('PARSEC/benzene') in MATLAB.
  • download in Matrix Market format, file size: 584 KB.
  • download in Rutherford/Boeing format, file size: 301 KB.

    Matrix properties
    number of rows8,219
    number of columns8,219
    nonzeros242,669
    structural full rank?yes
    structural rank8,219
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorY. Zhou, Y. Saad, M. Tiago, J. Chelikowsky
    editorT. Davis
    date2005
    kindtheoretical/quantum chemistry problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD12,897,079
    Cholesky flop count3.0e+10
    nnz(L+U), no partial pivoting, with AMD25,785,939
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD14,908,336
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD21,837,776

    SVD-based statistics:
    norm(A)58.3937
    min(svd(A))0.0401419
    cond(A)1454.68
    rank(A)8,219
    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

    PARSEC/benzene 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.