Matrix: Bai/cryg2500

Description: CRYSTAL GROWTH EIGENMODES C. YANG

Bai/cryg2500 graph Bai/cryg2500 graph
(bipartite graph drawing) (graph drawing of A+A')


Bai/cryg2500

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  • Matrix group: Bai
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  • download as a MATLAB mat-file, file size: 110 KB. Use UFget(1613) or UFget('Bai/cryg2500') in MATLAB.
  • download in Matrix Market format, file size: 149 KB.
  • download in Rutherford/Boeing format, file size: 139 KB.

    Matrix properties
    number of rows2,500
    number of columns2,500
    nonzeros12,349
    structural full rank?yes
    structural rank2,500
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 99%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorC. Yang
    editorZ. Bai, D. Day, J. Demmel, J. Dongarra
    date1996
    kindmaterials problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD35,865
    Cholesky flop count1.0e+06
    nnz(L+U), no partial pivoting, with AMD69,230
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD61,659
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD112,569

    SVD-based statistics:
    norm(A)9831.06
    min(svd(A))2.70724e-13
    cond(A)3.63139e+16
    rank(A)2,499
    sprank(A)-rank(A)1
    null space dimension1
    full numerical rank?no
    singular value gap2.93106e+06

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

    Bai/cryg2500 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.