Matrix: PARSEC/SiNa

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

PARSEC/SiNa graph
(undirected graph drawing)


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  • Matrix group: PARSEC
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  • download as a MATLAB mat-file, file size: 587 KB. Use UFget(1366) or UFget('PARSEC/SiNa') in MATLAB.
  • download in Matrix Market format, file size: 623 KB.
  • download in Rutherford/Boeing format, file size: 398 KB.

    Matrix properties
    number of rows5,743
    number of columns5,743
    structural full rank?yes
    structural rank5,743
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?yes
    positive definite?no

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

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD7,526,576
    Cholesky flop count1.5e+10
    nnz(L+U), no partial pivoting, with AMD15,047,409
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD9,293,268
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD13,013,581

    SVD-based statistics:
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;

    PARSEC/SiNa 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.