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

  • Matrix: Pajek/SciMet
  • Description: Pajek network: SciMet citation network
  • download as a MATLAB mat-file, file size: 69 KB. Use SJget(43) or SJget('Pajek/SciMet') in MATLAB.
  • download in Matrix Market format, file size: 51 KB.
  • download in Rutherford/Boeing format, file size: 41 KB.


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


    scc of Pajek/SciMet

    Matrix properties (click for a legend)  
    number of rows3,084
    number of columns3,084
    structural full rank?no
    structural rank1,573
    numerical rank 1,569
    dimension of the numerical null space1,515
    numerical rank / min(size(A))0.50875
    Euclidean norm of A 15.636
    calculated singular value # 15690.02731
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 15701.4193e-014
    gap in the singular values at the numerical rank:
    singular value # 1569 / singular value # 1570
    calculated condition numberInf
    # of blocks from dmperm499
    # strongly connected comp.3,072
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorE. Garfield
    editorV. Batagelj
    kinddirected multigraph
    2D/3D problem?no

    Additional fieldssize and type
    pubyearfull 3084-by-1
    gcsfull 3084-by-1
    nodenamefull 3084-by-24


    Pajek network converted to sparse adjacency matrix for inclusion in UF sparse 
    matrix collection, Tim Davis.  For Pajek datasets, See V. Batagelj & A. Mrvar,
     Articles from or citing Scientometrics, 1978-2000, Wed Jun 12 16:39:51 2002  

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))176,138 180,550
    Cholesky flop count5.5e+007 4.8e+007
    nnz(L+U), no partial pivoting349,192 358,016
    nnz(V) for QR, upper bound nnz(L) for LU25,627 48,146
    nnz(R) for QR, upper bound nnz(U) for LU424,379 423,425

    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.