Matrix: HB/bcsstk13

Description: SYMMETRIC STIFFNESS MATRIX, FLUID FLOW GENERALIZED EIGENVALUES

HB/bcsstk13 graph
(undirected graph drawing)


HB/bcsstk13

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 413 KB. Use UFget(35) or UFget('HB/bcsstk13') in MATLAB.
  • download in Matrix Market format, file size: 310 KB.
  • download in Rutherford/Boeing format, file size: 239 KB.

    Matrix properties
    number of rows2,003
    number of columns2,003
    nonzeros83,883
    structural full rank?yes
    structural rank2,003
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorJ. Lewis
    editorI. Duff, R. Grimes, J. Lewis
    date1982
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD265,942
    Cholesky flop count5.5e+07
    nnz(L+U), no partial pivoting, with AMD529,881
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD479,799
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD848,644

    SVD-based statistics:
    norm(A)3.11481e+12
    min(svd(A))284.333
    cond(A)1.09548e+10
    rank(A)2,003
    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

    HB/bcsstk13 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.