Matrix: Cote/mplate

Description: Vibroacoustic problem (plate-air-poroelastic-air-plate system) A. Cote

Cote/mplate graph
(undirected graph drawing)


Cote/mplate

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  • Matrix group: Cote
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  • download as a MATLAB mat-file, file size: 605 KB. Use UFget(378) or UFget('Cote/mplate') in MATLAB.
  • download in Matrix Market format, file size: 488 KB.
  • download in Rutherford/Boeing format, file size: 436 KB.

    Matrix properties
    number of rows5,962
    number of columns5,962
    nonzeros142,190
    structural full rank?yes
    structural rank5,962
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetry 5%
    typecomplex
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorA. Cote
    editorT. Davis
    date1997
    kindacoustics problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD2,017,574
    Cholesky flop count1.3e+09
    nnz(L+U), no partial pivoting, with AMD4,029,186
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD2,739,174
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD4,640,941

    SVD-based statistics:
    norm(A)1.04508e+06
    min(svd(A))3.11355e-11
    cond(A)3.35654e+16
    rank(A)4,103
    sprank(A)-rank(A)1,859
    null space dimension1,859
    full numerical rank?no
    singular value gap1.24449e+06

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

    Cote/mplate 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.