Matrix: HB/saylr3

Description: UNSYMMETRIC MATRIX OF PAUL SAYLOR - 10 BY 10 BY 10 3D GRID MAY, 1983

HB/saylr3 graph
(undirected graph drawing)


HB/saylr3 dmperm of HB/saylr3

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 10 KB. Use UFget(240) or UFget('HB/saylr3') in MATLAB.
  • download in Matrix Market format, file size: 10 KB.
  • download in Rutherford/Boeing format, file size: 9 KB.

    Matrix properties
    number of rows1,000
    number of columns1,000
    nonzeros3,750
    structural full rank?yes
    structural rank1,000
    # of blocks from dmperm318
    # strongly connected comp.318
    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 AMD9,590
    Cholesky flop count2.5e+05
    nnz(L+U), no partial pivoting, with AMD18,180
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD17,636
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD32,079

    SVD-based statistics:
    norm(A)5.04487
    min(svd(A))0
    cond(A)Inf
    rank(A)998
    sprank(A)-rank(A)2
    null space dimension2
    full numerical rank?no
    singular value gap3.4741e+12

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

    HB/saylr3 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.