• 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/rajat27
  • Description: Rajat/rajat27 circuit simulation matrix
  • download as a MATLAB mat-file, file size: 571 KB. Use SJget(366) or SJget('Rajat/rajat27') in MATLAB.
  • download in Matrix Market format, file size: 852 KB.
  • download in Rutherford/Boeing format, file size: 784 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 with opts.tol_eigs = 1e-010, used with Matlab (R2008a) to calculate singular values 20540 to 20545 and associated error bounds.


    dmperm of Rajat/rajat27

    scc of Rajat/rajat27

    Matrix properties (click for a legend)  
    number of rows20,640
    number of columns20,640
    structural full rank?yes
    structural rank20,640
    numerical rank 20,542
    dimension of the numerical null space98
    numerical rank / min(size(A))0.99525
    Euclidean norm of A 7.6911e+005
    calculated singular value # 205422.469e-006
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 205432.184e-006
    gap in the singular values at the numerical rank:
    singular value # 20542 / singular value # 20543
    calculated condition number-2
    # of blocks from dmperm4,593
    # strongly connected comp.1,556
    entries not in dmperm blocks5,974
    explicit zero entries2,424
    nonzero pattern symmetry 96%
    numeric value symmetry 30%
    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'))85,111 91,932 98,650
    Cholesky flop count6.2e+005 7.7e+005 9.7e+005
    nnz(L+U), no partial pivoting149,582 163,224 182,634
    nnz(V) for QR, upper bound nnz(L) for LU858,376 811,866 705,531
    nnz(R) for QR, upper bound nnz(U) for LU2,961,030 2,989,192 2,664,335

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 2424 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.