Matrix: HB/plat1919

Description: SPLATZMAN SYMMETRIC FINITE DIFFERENCE THREE OCEAN MODEL

HB/plat1919 graph
(undirected graph drawing)


HB/plat1919

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 255 KB. Use UFget(228) or UFget('HB/plat1919') in MATLAB.
  • download in Matrix Market format, file size: 207 KB.
  • download in Rutherford/Boeing format, file size: 198 KB.

    Matrix properties
    number of rows1,919
    number of columns1,919
    nonzeros32,399
    structural full rank?yes
    structural rank1,919
    # 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
    date1975
    kind2D/3D problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD67,262
    Cholesky flop count3.0e+06
    nnz(L+U), no partial pivoting, with AMD132,605
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD77,872
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD147,384

    SVD-based statistics:
    norm(A)2.92164
    min(svd(A))5.44618e-17
    cond(A)5.36456e+16
    rank(A)1,916
    sprank(A)-rank(A)3
    null space dimension3
    full numerical rank?no
    singular value gap64.8543

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

    HB/plat1919 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.