Matrix: Oberwolfach/t3dl

Description: Oberwolfach: micropyros thruster

Oberwolfach/t3dl graph
(undirected graph drawing)


Oberwolfach/t3dl

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  • Matrix group: Oberwolfach
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  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(1451) or UFget('Oberwolfach/t3dl') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.

    Matrix properties
    number of rows20,360
    number of columns20,360
    nonzeros509,866
    structural full rank?yes
    structural rank20,360
    # 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 20360-by-20360
    Bsparse 20360-by-1
    Csparse 7-by-20360
    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 AMD11,761,002
    Cholesky flop count1.6e+10
    nnz(L+U), no partial pivoting, with AMD23,501,644
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD17,068,760
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD29,662,013

    SVD-based statistics:
    norm(A)1.19771
    min(svd(A))1.96359e-15
    cond(A)6.0996e+14
    rank(A)20,359
    sprank(A)-rank(A)1
    null space dimension1
    full numerical rank?no
    singular value gap1.79811e+08

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

    Oberwolfach/t3dl 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.