Matrix: Pothen/pwt

Description: pwt, with coordinates. From NASA, collected by Alex Pothen

Pothen/pwt graph
(undirected graph drawing)


Pothen/pwt dmperm of Pothen/pwt
Pothen/pwt graph

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: Pothen
  • Click here for a description of the Pothen group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 741 KB. Use UFget(880) or UFget('Pothen/pwt') in MATLAB.
  • download in Matrix Market format, file size: 585 KB.
  • download in Rutherford/Boeing format, file size: 532 KB.

    Matrix properties
    number of rows36,519
    number of columns36,519
    nonzeros326,107
    structural full rank?yes
    structural rank36,519
    # of blocks from dmperm57
    # strongly connected comp.57
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorNASA
    editorG. Kumfert, A. Pothen
    date2003
    kindstructural problem
    2D/3D problem?yes

    Additional fieldssize and type
    coordfull 36519-by-3

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,555,833
    Cholesky flop count1.6e+08
    nnz(L+U), no partial pivoting, with AMD3,075,147
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD2,667,503
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD5,000,519

    SVD-based statistics:
    norm(A)9.90527
    min(svd(A))8.72467e-19
    cond(A)1.13532e+19
    rank(A)35,475
    sprank(A)-rank(A)1,044
    null space dimension1,044
    full numerical rank?no
    singular value gap4.30451e+09

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

    Pothen/pwt 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.