• SJSU Singular Matrix Database
  • Matrix group: JGD_Homology
  • Click here for a description of the JGD_Homology group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups


  • Matrix: JGD_Homology/n4c6-b3
  • Description: Simplicial complexes from Homology from Volkmar Welker.
  • download as a MATLAB mat-file, file size: 53 KB. Use SJget(645) or SJget('JGD_Homology/n4c6-b3') in MATLAB.
  • download in Matrix Market format, file size: 72 KB.
  • download in Rutherford/Boeing format, file size: 58 KB.

    JGD_Homology/n4c6-b3

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

    JGD_Homology/n4c6-b3

    Matrix properties (click for a legend)  
    number of rows5,970
    number of columns1,330
    structural full rank?yes
    structural rank1,330
    numerical rank 1,140
    dimension of the numerical null space190
    numerical rank / min(size(A))0.85714
    Euclidean norm of A 4.5826
    calculated singular value # 11403.873
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    5.3024e-012
    calculated singular value # 11411.4615e-014
    gap in the singular values at the numerical rank:
    singular value # 1140 / singular value # 1141
    2.65e+014
    calculated condition number5.3049e+015
    condest-2
    nonzeros23,880
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typeinteger
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    authorV. Welker
    editorJ.-G. Dumas
    date2008
    kindcombinatorial problem
    2D/3D problem?no
    SJid645
    UFid2,126

    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/n4c6.b3.5970x1330.sms  
    

    Ordering statistics:AMD METIS
    nnz(V) for QR, upper bound nnz(L) for LU4,850,465 4,431,192
    nnz(R) for QR, upper bound nnz(U) for LU634,211 612,252

    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.