Matrix: Oberwolfach/t2dah

Description: Oberwolfach: micropyros thruster

Oberwolfach/t2dah graph
(undirected graph drawing)


Oberwolfach/t2dah

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  • Matrix group: Oberwolfach
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(1447) or UFget('Oberwolfach/t2dah') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 1 MB.

    Matrix properties
    number of rows11,445
    number of columns11,445
    nonzeros176,117
    structural full rank?yes
    structural rank11,445
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorE. Rudnyi
    editorE. Rudnyi
    date2004
    kindmodel reduction problem
    2D/3D problem?yes

    Additional fieldssize and type
    Esparse 11445-by-11445
    Bsparse 11445-by-1
    Csparse 7-by-11445
    cnamefull 7-by-7

    Notes:

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

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD491,255
    Cholesky flop count4.1e+07
    nnz(L+U), no partial pivoting, with AMD971,065
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD841,710
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD2,001,083

    SVD-based statistics:
    norm(A)266.266
    min(svd(A))2.741e-15
    cond(A)9.71418e+16
    rank(A)11,444
    sprank(A)-rank(A)1
    null space dimension1
    full numerical rank?no
    singular value gap5.96041e+07

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;
    status:ok

    Oberwolfach/t2dah 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.