• 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/rajat01
  • Description: Rajat/rajat01 circuit simulation matrix
  • download as a MATLAB mat-file, file size: 89 KB. Use SJget(327) or SJget('Rajat/rajat01') in MATLAB.
  • download in Matrix Market format, file size: 99 KB.
  • download in Rutherford/Boeing format, file size: 79 KB.


    Routine svd from Matlab (R2008a) used to calculate the singular values.


    dmperm of Rajat/rajat01

    scc of Rajat/rajat01

    Matrix properties (click for a legend)  
    number of rows6,833
    number of columns6,833
    structural full rank?yes
    structural rank6,833
    numerical rank 6,777
    dimension of the numerical null space56
    numerical rank / min(size(A))0.9918
    Euclidean norm of A 42.128
    calculated singular value # 67770.0010304
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 67784.2107e-015
    gap in the singular values at the numerical rank:
    singular value # 6777 / singular value # 6778
    calculated condition numberInf
    # of blocks from dmperm507
    # strongly connected comp.66
    entries not in dmperm blocks12,618
    explicit zero entries0
    nonzero pattern symmetry 100%
    numeric value symmetry 100%
    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'))31,623 33,626 26,239
    Cholesky flop count1.9e+005 2.4e+005 1.5e+005
    nnz(L+U), no partial pivoting56,413 60,419 58,263
    nnz(V) for QR, upper bound nnz(L) for LU1,051,568 1,166,204 123,996
    nnz(R) for QR, upper bound nnz(U) for LU3,047,932 3,345,518 189,563

    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.