Matrix: Oberwolfach/t2dal_bci

Description: Oberwolfach: micropyros thruster (boundary cond. indep)

Oberwolfach/t2dal_bci graph
(undirected graph drawing)


Oberwolfach/t2dal_bci

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  • Matrix group: Oberwolfach
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  • download as a MATLAB mat-file, file size: 160 KB. Use UFget(1448) or UFget('Oberwolfach/t2dal_bci') in MATLAB.
  • download in Matrix Market format, file size: 194 KB.
  • download in Rutherford/Boeing format, file size: 181 KB.

    Matrix properties
    number of rows4,257
    number of columns4,257
    nonzeros37,465
    structural full rank?yes
    structural rank4,257
    # 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 4257-by-4257
    Abottomsparse 4257-by-4257
    Asidesparse 4257-by-4257
    Atopsparse 4257-by-4257
    Bsparse 4257-by-1
    Csparse 7-by-4257
    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 AMD115,326
    Cholesky flop count5.5e+06
    nnz(L+U), no partial pivoting, with AMD226,395
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD180,860
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD336,323

    SVD-based statistics:
    norm(A)145.643
    min(svd(A))3.32437e-17
    cond(A)4.38107e+18
    rank(A)4,256
    sprank(A)-rank(A)1
    null space dimension1
    full numerical rank?no
    singular value gap1.10911e+10

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

    Oberwolfach/t2dal_bci 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.