• SJSU Singular Matrix Database
  • Matrix group: Pothen
  • Click here for a description of the Pothen group.
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  • Matrix: Pothen/shuttle_eddy
  • Description: shuttle_eddy, with coordinates. From NASA, collected by Alex Pothen
  • download as a MATLAB mat-file, file size: 128 KB. Use SJget(362) or SJget('Pothen/shuttle_eddy') in MATLAB.
  • download in Matrix Market format, file size: 132 KB.
  • download in Rutherford/Boeing format, file size: 117 KB.

    Pothen/shuttle_eddy

    A singular value of A is guaranteed1 to be in the interval pictured by the blue bars around each of the calculated singular values.

    Routine svds_err, version 1.0, used with Matlab 7.6.0.324 (R2008a) to calculate the 6 largest singular values and associated error bounds.
    Routine spnrank, version 1.0, used with Matlab 7.6.0.324 (R2008a) to calculate singular values 9755 to 9760 and associated error bounds.

    Pothen/shuttle_eddy

    Pothen/shuttle_eddy graph

    Matrix properties (click for a legend)  
    number of rows10,429
    number of columns10,429
    structural full rank?yes
    structural rank10,429
    numerical rank 9,757
    dimension of the numerical null space672
    numerical rank / min(size(A))0.93556
    Euclidean norm of A 16.142
    calculated singular value # 97570.0076908
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    3.7051e-011
    calculated singular value # 97581.9301e-016
    gap in the singular values at the numerical rank:
    singular value # 9757 / singular value # 9758
    3.9846e+013
    calculated condition number-2
    condestInf
    nonzeros103,599
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorNASA
    editorG. Kumfert, A. Pothen
    date2003
    kindstructural problem
    2D/3D problem?yes
    SJid362
    UFid881

    Additional fieldssize and type
    coordfull 10429-by-3

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))326,936 364,101
    Cholesky flop count1.7e+007 2.2e+007
    nnz(L+U), no partial pivoting643,443 717,773
    nnz(V) for QR, upper bound nnz(L) for LU566,762 569,107
    nnz(R) for QR, upper bound nnz(U) for LU1,108,728 1,086,851

    Maintained by Leslie Foster, last updated 24-Apr-2009.

    Entries 5 through 14 in the table of matrix properties and the singular
    value plot were created using SJsingular code. The other plots
    and statistics are produced using utilities from the SuiteSparse package.
    Matrix color plot pictures by cspy, a MATLAB function in the CSparse package.