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

  • Matrix: Rajat/rajat22
  • Description: Rajat/rajat22 circuit simulation matrix
  • download as a MATLAB mat-file, file size: 1011 KB. Use SJget(406) or SJget('Rajat/rajat22') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 1 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 with opts.tol_eigs = 1e-008, used with Matlab (R2008a) to calculate singular values 39825 to 39830 and associated error bounds.


    dmperm of Rajat/rajat22

    scc of Rajat/rajat22

    Matrix properties (click for a legend)  
    number of rows39,899
    number of columns39,899
    structural full rank?yes
    structural rank39,899
    numerical rank 39,827
    dimension of the numerical null space72
    numerical rank / min(size(A))0.9982
    Euclidean norm of A 9.9838e+005
    calculated singular value # 398274.7801e-006
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 398284.6257e-006
    gap in the singular values at the numerical rank:
    singular value # 39827 / singular value # 39828
    calculated condition number-2
    # of blocks from dmperm4,466
    # strongly connected comp.1,384
    entries not in dmperm blocks16,969
    explicit zero entries1,835
    nonzero pattern symmetry 98%
    numeric value symmetry 33%
    Cholesky candidate?no
    positive definite?no

    editorT. Davis
    kindcircuit simulation problem
    2D/3D problem?no

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))151,808 157,052 187,103
    Cholesky flop count7.3e+005 8.4e+005 1.6e+006
    nnz(L+U), no partial pivoting263,717 274,205 351,276
    nnz(V) for QR, upper bound nnz(L) for LU3,884,161 4,320,335 4,575,266
    nnz(R) for QR, upper bound nnz(U) for LU15,440,691 16,515,208 14,188,353

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1835 explicit zero entries.

    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.