Matrix: Bai/rdb2048

Description: REACTION-DIFFUSION BRUSSELATOR MODEL

Bai/rdb2048 graph
(undirected graph drawing)


Bai/rdb2048

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  • Matrix group: Bai
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  • download as a MATLAB mat-file, file size: 20 KB. Use UFget(331) or UFget('Bai/rdb2048') in MATLAB.
  • download in Matrix Market format, file size: 40 KB.
  • download in Rutherford/Boeing format, file size: 24 KB.

    Matrix properties
    number of rows2,048
    number of columns2,048
    nonzeros12,032
    structural full rank?yes
    structural rank2,048
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetry 79%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorK. Meerbergen
    editorZ. Bai, D. Day, J. Demmel, J. Dongarra
    date1994
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Notes:

    This matrix (Bai/rdb2048) is the same as the original NEP RDB2048L
    matrix (as of Nov 2006).  Either the name changed since 1996 and  
    the L was added in the NEP collection, or the L was dropped when  
    the matrix as added to the UF Sparse Matrix Collection in 1996.   
    The name cannot be corrected here without disrupting the UF Sparse
    Matrix Collection.  To make matters worse, there is now a matrix  
    in the NEP collection with the name RDB2048, as of Nov 2006.  The 
    NEP RDB2048 matrix was added to this collection in Nov 2006, as   
    Bai/rdb2038_noL matrix.                                           
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD42,141
    Cholesky flop count1.8e+06
    nnz(L+U), no partial pivoting, with AMD82,234
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD76,629
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD140,021

    SVD-based statistics:
    norm(A)73.7649
    min(svd(A))0.100922
    cond(A)730.909
    rank(A)2,048
    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

    Bai/rdb2048 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.