Matrix: PARSEC/Si10H16

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

PARSEC/Si10H16 graph
(undirected graph drawing)


PARSEC/Si10H16

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  • Matrix group: PARSEC
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  • download as a MATLAB mat-file, file size: 3 MB. Use UFget(1359) or UFget('PARSEC/Si10H16') in MATLAB.
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  • download in Rutherford/Boeing format, file size: 2 MB.

    Matrix properties
    number of rows17,077
    number of columns17,077
    nonzeros875,923
    structural full rank?yes
    structural rank17,077
    # 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 AMD56,103,003
    Cholesky flop count2.8e+11
    nnz(L+U), no partial pivoting, with AMD112,188,929
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD64,109,715
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD95,956,598

    SVD-based statistics:
    norm(A)36.9229
    min(svd(A))0.000655427
    cond(A)56334.2
    rank(A)17,077
    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/Si10H16 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.