Matrix: HB/saylr4

Description: UNSYMMETRIC MATRIX OF PAUL SAYLOR - 33 BY 6 BY 18 3D GRID MAY, 1983

HB/saylr4 graph
(undirected graph drawing)


HB/saylr4

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 42 KB. Use UFget(241) or UFget('HB/saylr4') in MATLAB.
  • download in Matrix Market format, file size: 51 KB.
  • download in Rutherford/Boeing format, file size: 35 KB.

    Matrix properties
    number of rows3,564
    number of columns3,564
    nonzeros22,316
    structural full rank?yes
    structural rank3,564
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorR. Kendall, D. Peaceman, H. Stone, W. Watts
    editorP. Saylor
    date1984
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD149,197
    Cholesky flop count1.4e+07
    nnz(L+U), no partial pivoting, with AMD294,830
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD279,272
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD506,279

    SVD-based statistics:
    norm(A)13273.6
    min(svd(A))0.00193447
    cond(A)6.86162e+06
    rank(A)3,564
    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/saylr4 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.