• 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/rajat02
  • Description: Rajat/rajat02 circuit simulation matrix
  • download as a MATLAB mat-file, file size: 28 KB. Use SJget(214) or SJget('Rajat/rajat02') in MATLAB.
  • download in Matrix Market format, file size: 16 KB.
  • download in Rutherford/Boeing format, file size: 15 KB.


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


    dmperm of Rajat/rajat02

    scc of Rajat/rajat02

    Matrix properties (click for a legend)  
    number of rows1,960
    number of columns1,960
    structural full rank?yes
    structural rank1,960
    numerical rank 1,508
    dimension of the numerical null space452
    numerical rank / min(size(A))0.76939
    Euclidean norm of A 25.865
    calculated singular value # 15080.010379
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 15091.9926e-014
    gap in the singular values at the numerical rank:
    singular value # 1508 / singular value # 1509
    calculated condition number2.9321e+019
    # of blocks from dmperm58
    # strongly connected comp.10
    entries not in dmperm blocks2,986
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?yes
    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'))8,074 8,351 6,246
    Cholesky flop count3.6e+004 4.0e+004 2.2e+004
    nnz(L+U), no partial pivoting14,188 14,742 13,518
    nnz(V) for QR, upper bound nnz(L) for LU98,736 102,800 15,125
    nnz(R) for QR, upper bound nnz(U) for LU352,767 369,908 33,665

    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.