Matrix: PARSEC/Na5

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

PARSEC/Na5 graph
(undirected graph drawing)


PARSEC/Na5

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  • Matrix group: PARSEC
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(1358) or UFget('PARSEC/Na5') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 990 KB.

    Matrix properties
    number of rows5,832
    number of columns5,832
    nonzeros305,630
    structural full rank?yes
    structural rank5,832
    # 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 AMD7,735,312
    Cholesky flop count1.6e+10
    nnz(L+U), no partial pivoting, with AMD15,464,792
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD10,255,546
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD13,619,727

    SVD-based statistics:
    norm(A)25.6604
    min(svd(A))0.021168
    cond(A)1212.23
    rank(A)5,832
    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/Na5 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.