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

  • Matrix: GHS_indef/k1_san
  • Description: Aug. system modelling the underground of Straz pod Ralskem mine by MFE
  • download as a MATLAB mat-file, file size: 3 MB. Use SJget(480) or SJget('GHS_indef/k1_san') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.


    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 (R2008a) to calculate the 6 largest singular values and associated error bounds.
    Routine spnrank, version 1.0, used with Matlab (R2008a) to calculate singular values 67756 to 67759 and associated error bounds.


    dmperm of GHS_indef/k1_san

    scc of GHS_indef/k1_san

    Matrix properties (click for a legend)  
    number of rows67,759
    number of columns67,759
    structural full rank?no
    structural rank67,758
    numerical rank 67,758
    dimension of the numerical null space1
    numerical rank / min(size(A))0.99999
    Euclidean norm of A 136.35
    calculated singular value # 677580.00020899
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 677598.2718e-025
    gap in the singular values at the numerical rank:
    singular value # 67758 / singular value # 67759
    calculated condition number1.6483e+026
    # of blocks from dmperm3
    # strongly connected comp.2
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?yes
    positive definite?no

    editorN. Gould, Y. Hu, J. Scott
    kind2D/3D problem
    2D/3D problem?yes

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))3,698,393 2,650,207
    Cholesky flop count1.0e+009 4.2e+008
    nnz(L+U), no partial pivoting7,329,027 5,232,655
    nnz(V) for QR, upper bound nnz(L) for LU16,449,310 9,342,891
    nnz(R) for QR, upper bound nnz(U) for LU38,739,857 26,069,398

    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.