• 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/cis-n4c6-b4
  • Description: Simplicial complexes from Homology from Volkmar Welker.
  • download as a MATLAB mat-file, file size: 225 KB. Use SJget(690) or SJget('JGD_Homology/cis-n4c6-b4') in MATLAB.
  • download in Matrix Market format, file size: 315 KB.
  • download in Rutherford/Boeing format, file size: 255 KB.


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


    Matrix properties (click for a legend)  
    number of rows20,058
    number of columns5,970
    structural full rank?yes
    structural rank5,970
    numerical rank 4,830
    dimension of the numerical null space1,140
    numerical rank / min(size(A))0.80905
    Euclidean norm of A 4.5826
    calculated singular value # 48303.2798
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 48313.3567e-014
    gap in the singular values at the numerical rank:
    singular value # 4830 / singular value # 4831
    calculated condition number1.3462e+017
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorV. Welker
    editorJ.-G. Dumas
    kindcombinatorial problem
    2D/3D problem?no


    Simplicial complexes from Homology from Volkmar Welker.        
    From Jean-Guillaume Dumas' Sparse Integer Matrix Collection,   
    Filename in JGD collection: Homology/cis.n4c6.b4.20058x5970.sms

    Ordering statistics:AMD METIS
    nnz(V) for QR, upper bound nnz(L) for LU75,730,284 54,955,138
    nnz(R) for QR, upper bound nnz(U) for LU14,281,060 11,013,361

    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.