• SJSU Singular Matrix Database
  • Matrix group: JGD_Homology
  • Click here for a description of the JGD_Homology group.
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  • Matrix: JGD_Homology/n3c6-b1
  • Description: Simplicial complexes from Homology from Volkmar Welker.
  • download as a MATLAB mat-file, file size: 1 KB. Use SJget(569) or SJget('JGD_Homology/n3c6-b1') in MATLAB.
  • download in Matrix Market format, file size: 1 KB.
  • download in Rutherford/Boeing format, file size: 1 KB.

    JGD_Homology/n3c6-b1

    Routine svd from Matlab 7.6.0.324 (R2008a) used to calculate the singular values.

    JGD_Homology/n3c6-b1

    dmperm of JGD_Homology/n3c6-b1

    scc of JGD_Homology/n3c6-b1

    Matrix properties (click for a legend)  
    number of rows105
    number of columns105
    structural full rank?no
    structural rank15
    numerical rank 14
    dimension of the numerical null space91
    numerical rank / min(size(A))0.13333
    Euclidean norm of A 3.873
    calculated singular value # 143.873
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    4.6629e-014
    calculated singular value # 154.4989e-016
    gap in the singular values at the numerical rank:
    singular value # 14 / singular value # 15
    8.6087e+015
    calculated condition numberInf
    condestInf
    nonzeros210
    # of blocks from dmperm2
    # strongly connected comp.96
    explicit zero entries0
    nonzero pattern symmetry 9%
    numeric value symmetry 8%
    typeinteger
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorV. Welker
    editorJ.-G. Dumas
    date2008
    kindcombinatorial problem
    2D/3D problem?no
    SJid569
    UFid2,097

    Notes:

    Simplicial complexes from Homology from Volkmar Welker.     
    From Jean-Guillaume Dumas' Sparse Integer Matrix Collection,
    http://ljk.imag.fr/membres/Jean-Guillaume.Dumas/simc.html   
                                                                
    http://www.mathematik.uni-marburg.de/~welker/               
                                                                
    Filename in JGD collection: Homology/n3c6.b1.105x15.sms     
    

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))389 390
    Cholesky flop count2.0e+003 2.1e+003
    nnz(L+U), no partial pivoting673 675
    nnz(V) for QR, upper bound nnz(L) for LU1,105 1,105
    nnz(R) for QR, upper bound nnz(U) for LU210 210

    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.