Matrix: Oberwolfach/LF10000

Description: Oberwolfach: linear 1D beam

Oberwolfach/LF10000 graph
(undirected graph drawing)


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  • Matrix group: Oberwolfach
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  • download as a MATLAB mat-file, file size: 354 KB. Use UFget(1437) or UFget('Oberwolfach/LF10000') in MATLAB.
  • download in Matrix Market format, file size: 680 KB.
  • download in Rutherford/Boeing format, file size: 364 KB.

    Matrix properties
    number of rows19,998
    number of columns19,998
    structural full rank?yes
    structural rank19,998
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorJ. Lienemann, A. Greiner, J. Korvink
    editorE. Rudnyi
    kindmodel reduction problem
    2D/3D problem?yes

    Additional fieldssize and type
    Msparse 19998-by-19998
    Esparse 19998-by-19998
    Bsparse 19998-by-1
    Csparse 1-by-19998


    Primary matrix in this model reduction problem is the Oberwolfach K matrix

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD69,988
    Cholesky flop count2.5e+05
    nnz(L+U), no partial pivoting, with AMD119,978
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD69,988
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD109,976

    SVD-based statistics:
    null space dimension3,816
    full numerical rank?no
    singular value gap1.00046

    singular values (MAT file):click here
    SVD method used:s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero

    Oberwolfach/LF10000 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.