Matrix: Norris/fv1

Description: S.Norris, Univ. Auckland. FEM, Laplace eqn 2D 100x100 mesh

Norris/fv1 graph
(undirected graph drawing)

Norris/fv1

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  • Matrix group: Norris
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  • download as a MATLAB mat-file, file size: 79 KB. Use UFget(887) or UFget('Norris/fv1') in MATLAB.
  • download in Matrix Market format, file size: 139 KB.
  • download in Rutherford/Boeing format, file size: 76 KB.

    Matrix properties
    number of rows9,604
    number of columns9,604
    nonzeros85,264
    structural full rank?yes
    structural rank9,604
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorS. Norris
    editorT. Davis
    date2003
    kind2D/3D problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD301,652
    Cholesky flop count2.0e+07
    nnz(L+U), no partial pivoting, with AMD593,700
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD511,375
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD956,152

    SVD-based statistics:
    norm(A)4.51015
    min(svd(A))0.512166
    cond(A)8.80604
    rank(A)9,604
    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

    Norris/fv1 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.