Matrix: DNVS/trdheim

Description: Matrix Representation of TRDHEIM, Mesh of the Trondheim Fjord

DNVS/trdheim graph
(undirected graph drawing)


DNVS/trdheim

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  • Matrix group: DNVS
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  • download as a MATLAB mat-file, file size: 456 KB. Use UFget(1284) or UFget('DNVS/trdheim') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 433 KB.

    Matrix properties
    number of rows22,098
    number of columns22,098
    nonzeros1,935,324
    structural full rank?yes
    structural rank22,098
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorC. Damhaug
    editorN. Gould, Y. Hu, J. Scott
    date2004
    kindstructural problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,708,287
    Cholesky flop count1.6e+08
    nnz(L+U), no partial pivoting, with AMD3,394,476
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD7,074,375
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD21,764,103

    SVD-based statistics:
    norm(A)104.629
    min(svd(A))0
    cond(A)Inf
    rank(A)2,819
    sprank(A)-rank(A)19,279
    null space dimension19,279
    full numerical rank?no
    singular value gap4.9741e+11

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

    DNVS/trdheim 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.