Matrix: Rajat/rajat12

Description: Rajat/rajat12 circuit simulation matrix

Rajat/rajat12 graph
(undirected graph drawing)


Rajat/rajat12 dmperm of Rajat/rajat12

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  • Matrix group: Rajat
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  • download as a MATLAB mat-file, file size: 50 KB. Use UFget(1196) or UFget('Rajat/rajat12') in MATLAB.
  • download in Matrix Market format, file size: 55 KB.
  • download in Rutherford/Boeing format, file size: 44 KB.

    Matrix properties
    number of rows1,879
    number of columns1,879
    nonzeros12,818
    structural full rank?yes
    structural rank1,879
    # of blocks from dmperm24
    # strongly connected comp.1
    explicit zero entries108
    nonzero pattern symmetrysymmetric
    numeric value symmetry 45%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorRajat
    editorT. Davis
    date2004
    kindcircuit simulation problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD7,875
    Cholesky flop count3.8e+04
    nnz(L+U), no partial pivoting, with AMD13,871
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD183,719
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,373,161

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 108 explicit zero entries.

    SVD-based statistics:
    norm(A)1047.3
    min(svd(A))0.00151484
    cond(A)691358
    rank(A)1,879
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;
    status:ok

    Rajat/rajat12 svd

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.