Matrix: Rajat/rajat04

Description: Rajat/rajat04 circuit simulation matrix

Rajat/rajat04 graph
(undirected graph drawing)


Rajat/rajat04 dmperm of Rajat/rajat04

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  • Matrix group: Rajat
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  • download as a MATLAB mat-file, file size: 55 KB. Use UFget(1188) or UFget('Rajat/rajat04') in MATLAB.
  • download in Matrix Market format, file size: 52 KB.
  • download in Rutherford/Boeing format, file size: 47 KB.

    Matrix properties
    number of rows1,041
    number of columns1,041
    nonzeros8,725
    structural full rank?yes
    structural rank1,041
    # of blocks from dmperm67
    # strongly connected comp.1
    explicit zero entries917
    nonzero pattern symmetrysymmetric
    numeric value symmetry 4%
    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 AMD6,670
    Cholesky flop count5.1e+04
    nnz(L+U), no partial pivoting, with AMD12,299
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD171,752
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD404,650

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 917 explicit zero entries.

    SVD-based statistics:
    norm(A)20921.7
    min(svd(A))0.000127608
    cond(A)1.63953e+08
    rank(A)1,041
    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/rajat04 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.