Matrix: MathWorks/Pd

Description: Matrix problem X=A\B with many sparse right-hand-sides

MathWorks/Pd graph MathWorks/Pd graph
(bipartite graph drawing) (graph drawing of A+A')

MathWorks/Pd dmperm of MathWorks/Pd

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: MathWorks
  • Click here for a description of the MathWorks group.
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  • download as a MATLAB mat-file, file size: 63 KB. Use UFget(1170) or UFget('MathWorks/Pd') in MATLAB.
  • download in Matrix Market format, file size: 92 KB.
  • download in Rutherford/Boeing format, file size: 89 KB.

    Matrix properties
    number of rows8,081
    number of columns8,081
    structural full rank?yes
    structural rank8,081
    # of blocks from dmperm7,877
    # strongly connected comp.7,877
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorP. Anderson
    editorT. Davis
    kindcounter-example problem
    2D/3D problem?no

    Additional fieldssize and type
    bsparse 8081-by-12406

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD14,340
    Cholesky flop count3.1e+04
    nnz(L+U), no partial pivoting, with AMD20,599
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD11,635
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD15,465

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

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

    MathWorks/Pd 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.