Nemeth/nemeth01 graph

Matrix: Nemeth/nemeth01

Description: Newton-Schultz iteration, Z_k+1=Z_k+(1/2)*(I-(Z_k)^2)*Z_k. This is Z_1

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  • Matrix group: Nemeth
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  • download as a MATLAB mat-file, file size: 5 MB. Use UFget(765) or UFget('Nemeth/nemeth01') in MATLAB.
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    Nemeth/nemeth01

    Matrix properties
    number of rows9,506
    number of columns9,506
    nonzeros725,054
    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
    kindtheoretical/quantum chemistry problem sequence
    2D/3D problem?no

    Notes:

    next: Nemeth/nemeth02 first: Nemeth/nemeth01

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))388,262 841,675
    Cholesky flop count1.6e+07 7.8e+07
    nnz(L+U), no partial pivoting767,018 1,673,844
    nnz(V) for QR, upper bound nnz(L) for LU397,712 1,055,512
    nnz(R) for QR, upper bound nnz(U) for LU865,722 1,896,598

    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.