Matrix: PARSEC/Si2

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

PARSEC/Si2 graph
(undirected graph drawing)

PARSEC/Si2

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  • Matrix group: PARSEC
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  • download as a MATLAB mat-file, file size: 47 KB. Use UFget(1360) or UFget('PARSEC/Si2') in MATLAB.
  • download in Matrix Market format, file size: 54 KB.
  • download in Rutherford/Boeing format, file size: 34 KB.

    Matrix properties
    number of rows769
    number of columns769
    nonzeros17,801
    structural full rank?yes
    structural rank769
    # 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 AMD157,657
    Cholesky flop count5.0e+07
    nnz(L+U), no partial pivoting, with AMD314,545
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD205,871
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD255,815

    SVD-based statistics:
    norm(A)41.3813
    min(svd(A))0.242212
    cond(A)170.848
    rank(A)769
    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/Si2 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.