Matrix: TOKAMAK/utm1700b

Description: Uedge Test Matrix

TOKAMAK/utm1700b graph TOKAMAK/utm1700b graph
(bipartite graph drawing) (graph drawing of A+A')


TOKAMAK/utm1700b dmperm of TOKAMAK/utm1700b

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  • Matrix group: TOKAMAK
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  • download as a MATLAB mat-file, file size: 193 KB. Use UFget(823) or UFget('TOKAMAK/utm1700b') in MATLAB.
  • download in Matrix Market format, file size: 261 KB.
  • download in Rutherford/Boeing format, file size: 236 KB.

    Matrix properties
    number of rows1,700
    number of columns1,700
    nonzeros21,509
    structural full rank?yes
    structural rank1,700
    # of blocks from dmperm83
    # strongly connected comp.83
    explicit zero entries0
    nonzero pattern symmetry 52%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorY. Saad
    editorY. Saad
    date1996
    kindelectromagnetics problem
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 1700-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD57,192
    Cholesky flop count3.1e+06
    nnz(L+U), no partial pivoting, with AMD112,684
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD64,126
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD120,414

    SVD-based statistics:
    norm(A)2.55865
    min(svd(A))4.54439e-07
    cond(A)5.63034e+06
    rank(A)1,700
    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

    TOKAMAK/utm1700b 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.