Matrix: Zhao/Zhao1

Description: Electromagnetic matrix from A. C. Cangellaris and Li Zhao

Zhao/Zhao1 graph Zhao/Zhao1 graph
(bipartite graph drawing) (graph drawing of A+A')


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  • Matrix group: Zhao
  • Click here for a description of the Zhao group.
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  • download as a MATLAB mat-file, file size: 450 KB. Use UFget(834) or UFget('Zhao/Zhao1') in MATLAB.
  • download in Matrix Market format, file size: 780 KB.
  • download in Rutherford/Boeing format, file size: 589 KB.

    Matrix properties
    number of rows33,861
    number of columns33,861
    structural full rank?yes
    structural rank33,861
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 92%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorL. Zhao
    editorT. Davis
    kindelectromagnetics problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD3,493,262
    Cholesky flop count1.8e+09
    nnz(L+U), no partial pivoting, with AMD6,952,663
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD8,715,465
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD15,859,097

    SVD-based statistics:
    null space dimension0
    full numerical rank?yes

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

    Zhao/Zhao1 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.