• 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/rajat26
  • Description: Rajat/rajat26 circuit simulation matrix
  • download as a MATLAB mat-file, file size: 1 MB. Use SJget(412) or SJget('Rajat/rajat26') 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 with opts.tol_eigs = 1e-008, used with Matlab (R2008a) to calculate singular values 50851 to 50856 and associated error bounds.


    dmperm of Rajat/rajat26

    scc of Rajat/rajat26

    Matrix properties (click for a legend)  
    number of rows51,032
    number of columns51,032
    structural full rank?yes
    structural rank51,032
    numerical rank 50,853
    dimension of the numerical null space179
    numerical rank / min(size(A))0.99649
    Euclidean norm of A 8.2601e+005
    calculated singular value # 508536.0572e-006
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 508545.8159e-006
    gap in the singular values at the numerical rank:
    singular value # 50853 / singular value # 50854
    calculated condition number-2
    # of blocks from dmperm4,666
    # strongly connected comp.1,568
    entries not in dmperm blocks12,637
    explicit zero entries1,774
    nonzero pattern symmetry 99%
    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'))200,495 208,748 232,111
    Cholesky flop count1.1e+006 1.3e+006 1.7e+006
    nnz(L+U), no partial pivoting349,958 366,464 425,827
    nnz(V) for QR, upper bound nnz(L) for LU4,510,809 5,646,495 4,845,008
    nnz(R) for QR, upper bound nnz(U) for LU17,251,328 18,995,866 16,775,473

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1774 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.