Matrix: Andrianov/pattern1

Description: pattern1 matrix from Alexander Andrianov, SAS Institute Inc.

Andrianov/pattern1 graph
(undirected graph drawing)


Andrianov/pattern1

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  • Matrix group: Andrianov
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  • download as a MATLAB mat-file, file size: 14 MB. Use UFget(1393) or UFget('Andrianov/pattern1') in MATLAB.
  • download in Matrix Market format, file size: 11 MB.
  • download in Rutherford/Boeing format, file size: 5 MB.

    Matrix properties
    number of rows19,242
    number of columns19,242
    nonzeros9,323,432
    structural full rank?yes
    structural rank19,242
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorA. Andrianov
    editorT. Davis
    date2006
    kindoptimization problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD48,387,996
    Cholesky flop count2.5e+11
    nnz(L+U), no partial pivoting, with AMD96,756,750
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD135,423,105
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD185,136,884

    SVD-based statistics:
    norm(A)770.814
    min(svd(A))3.01161e-82
    cond(A)2.55947e+84
    rank(A)11,293
    sprank(A)-rank(A)7,949
    null space dimension7,949
    full numerical rank?no
    singular value gap4.08344e+08

    singular values (MAT file):click here
    SVD method used:s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero
    status:ok

    Andrianov/pattern1 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.