Matrix: Rajat/rajat13

Description: Rajat/rajat13 circuit simulation matrix

Rajat/rajat13 graph
(undirected graph drawing)


Rajat/rajat13 dmperm of Rajat/rajat13
scc of Rajat/rajat13

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  • Matrix group: Rajat
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  • download as a MATLAB mat-file, file size: 136 KB. Use UFget(1197) or UFget('Rajat/rajat13') in MATLAB.
  • download in Matrix Market format, file size: 198 KB.
  • download in Rutherford/Boeing format, file size: 142 KB.

    Matrix properties
    number of rows7,598
    number of columns7,598
    nonzeros48,762
    structural full rank?yes
    structural rank7,598
    # of blocks from dmperm134
    # strongly connected comp.109
    explicit zero entries160
    nonzero pattern symmetrysymmetric
    numeric value symmetry 30%
    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 AMD32,779
    Cholesky flop count1.5e+05
    nnz(L+U), no partial pivoting, with AMD57,960
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD9,385,024
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD26,813,931

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 160 explicit zero entries.

    SVD-based statistics:
    norm(A)399999
    min(svd(A))3.36844e-06
    cond(A)1.18749e+11
    rank(A)7,598
    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/rajat13 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.