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

  • Matrix: DNVS/tsyl201
  • Description: Matrix Representation of TSYL201, part of condeep cylinder
  • download as a MATLAB mat-file, file size: 949 KB. Use SJget(467) or SJget('DNVS/tsyl201') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 716 KB.


    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 2864 to 2869 and associated error bounds.


    Matrix properties (click for a legend)  
    number of rows20,685
    number of columns20,685
    structural full rank?yes
    structural rank20,685
    numerical rank 2,866
    dimension of the numerical null space17,819
    numerical rank / min(size(A))0.13855
    Euclidean norm of A 126.23
    calculated singular value # 28660.069125
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 28671.8205e-015
    gap in the singular values at the numerical rank:
    singular value # 2866 / singular value # 2867
    calculated condition number-2
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?yes
    positive definite?no

    authorC. Damhaug
    editorN. Gould, Y. Hu, J. Scott
    kindstructural problem
    2D/3D problem?yes

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))6,409,887 6,178,047
    Cholesky flop count3.6e+009 2.6e+009
    nnz(L+U), no partial pivoting12,799,089 12,335,409
    nnz(V) for QR, upper bound nnz(L) for LU10,485,024 10,606,644
    nnz(R) for QR, upper bound nnz(U) for LU24,503,550 23,357,076

    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.