Matrix: Oberwolfach/piston

Description: Oberwolfach: axi-symmetryic infinite el.

Oberwolfach/piston graph
(undirected graph drawing)


Oberwolfach/piston

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: Oberwolfach
  • Click here for a description of the Oberwolfach group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 977 KB. Use UFget(1441) or UFget('Oberwolfach/piston') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 1 MB.

    Matrix properties
    number of rows2,025
    number of columns2,025
    nonzeros100,015
    structural full rank?yes
    structural rank2,025
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetry 3%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorK. Meerbergen
    editorE. Rudnyi
    date2006
    kindmodel reduction problem
    2D/3D problem?yes

    Additional fieldssize and type
    Msparse 2025-by-2025
    Bsparse 2025-by-1
    Esparse 2025-by-2025

    Notes:

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

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD68,442
    Cholesky flop count2.6e+06
    nnz(L+U), no partial pivoting, with AMD134,859
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD98,633
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD178,993

    SVD-based statistics:
    norm(A)5094.38
    min(svd(A))9.53826e-07
    cond(A)5.341e+09
    rank(A)2,025
    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

    Oberwolfach/piston 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.