Nemeth/nemeth16 graph

Matrix: Nemeth/nemeth16

Description: Newton-Schultz iteration, Z_k+1=Z_k+(1/2)*(I-(Z_k)^2)*Z_k. This is Z_16

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  • Matrix group: Nemeth
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  • download as a MATLAB mat-file, file size: 4 MB. Use UFget(780) or UFget('Nemeth/nemeth16') in MATLAB.
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    Nemeth/nemeth16

    Matrix properties
    number of rows9,506
    number of columns9,506
    nonzeros587,012
    structural full rank?yes
    structural rank9,506
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorK. Nemeth
    editorT. Davis
    date1999
    kindsubsequent theoretical/quantum chemistry problem
    2D/3D problem?no

    Notes:

    next: Nemeth/nemeth17 first: Nemeth/nemeth01

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))327,991 714,924
    Cholesky flop count1.1e+07 5.6e+07
    nnz(L+U), no partial pivoting646,476 1,420,342
    nnz(V) for QR, upper bound nnz(L) for LU331,793 915,401
    nnz(R) for QR, upper bound nnz(U) for LU658,515 1,530,555

    Maintained by Tim Davis, last updated 30-Sep-2008.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.