Matrix: PARSEC/SiH4

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

PARSEC/SiH4 graph
(undirected graph drawing)


PARSEC/SiH4

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  • Matrix group: PARSEC
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  • download as a MATLAB mat-file, file size: 303 KB. Use UFget(1365) or UFget('PARSEC/SiH4') in MATLAB.
  • download in Matrix Market format, file size: 388 KB.
  • download in Rutherford/Boeing format, file size: 199 KB.

    Matrix properties
    number of rows5,041
    number of columns5,041
    nonzeros171,903
    structural full rank?yes
    structural rank5,041
    # 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 AMD5,839,407
    Cholesky flop count1.1e+10
    nnz(L+U), no partial pivoting, with AMD11,673,773
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD7,704,397
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD10,360,619

    SVD-based statistics:
    norm(A)36.7866
    min(svd(A))0.0345241
    cond(A)1065.54
    rank(A)5,041
    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/SiH4 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.